---
_id: '32097'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
citation:
ama: Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions.
Journal of Differential Geometry (to appear) -- arXiv:210312127. Published
online 2024.
apa: Weich, T., Guedes Bonthonneau, Y., & Guillarmou, C. (2024). SRB Measures
of Anosov Actions. Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127.
bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures
of Anosov Actions}, journal={Journal of Differential Geometry (to appear) --
arXiv:2103.12127}, author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou,
Colin}, year={2024} }'
chicago: Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB Measures
of Anosov Actions.” Journal of Differential Geometry (to Appear) -- ArXiv:2103.12127,
2024.
ieee: T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov
Actions,” Journal of Differential Geometry (to appear) -- arXiv:2103.12127,
2024.
mla: Weich, Tobias, et al. “SRB Measures of Anosov Actions.” Journal of Differential
Geometry (to Appear) -- ArXiv:2103.12127, 2024.
short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry
(to Appear) -- ArXiv:2103.12127 (2024).
date_created: 2022-06-22T09:56:23Z
date_updated: 2023-12-21T09:47:22Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
arxiv:
- https://arxiv.org/abs/2103.12127
file:
- access_level: open_access
content_type: application/pdf
creator: weich
date_created: 2022-06-22T09:56:08Z
date_updated: 2022-06-22T09:56:08Z
file_id: '32098'
file_name: 2103.12127.pdf
file_size: 745870
relation: main_file
file_date_updated: 2022-06-22T09:56:08Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
publication: Journal of Differential Geometry (to appear) -- arXiv:2103.12127
status: public
title: SRB Measures of Anosov Actions
type: journal_article
user_id: '49178'
year: '2024'
...
---
_id: '46469'
abstract:
- lang: eng
text: 'We show how to learn discrete field theories from observational data of fields
on a space-time lattice. For this, we train a neural network model of a discrete
Lagrangian density such that the discrete Euler--Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine
learning architecture. Lagrangian densities are not uniquely defined by the solutions
of a field theory. We introduce a technique to derive regularisers for the training
process which optimise numerical regularity of the discrete field theory. Minimisation
of the regularisers guarantees that close to the training data the discrete field
theory behaves robust and efficient when used in numerical simulations. Further,
we show how to identify structurally simple solutions of the underlying continuous
field theory such as travelling waves. This is possible even when travelling waves
are not present in the training data. This is compared to data-driven model order
reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training
data. Ideas are demonstrated on examples based on the wave equation and the Schrödinger
equation. '
article_number: '013104'
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Offen C, Ober-Blöbaum S. Learning of discrete models of variational PDEs from
data. Chaos. 2024;34(1). doi:10.1063/5.0172287
apa: Offen, C., & Ober-Blöbaum, S. (2024). Learning of discrete models of variational
PDEs from data. Chaos, 34(1), Article 013104. https://doi.org/10.1063/5.0172287
bibtex: '@article{Offen_Ober-Blöbaum_2024, title={Learning of discrete models of
variational PDEs from data}, volume={34}, DOI={10.1063/5.0172287},
number={1013104}, journal={Chaos}, publisher={AIP Publishing}, author={Offen,
Christian and Ober-Blöbaum, Sina}, year={2024} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of
Variational PDEs from Data.” Chaos 34, no. 1 (2024). https://doi.org/10.1063/5.0172287.
ieee: 'C. Offen and S. Ober-Blöbaum, “Learning of discrete models of variational
PDEs from data,” Chaos, vol. 34, no. 1, Art. no. 013104, 2024, doi: 10.1063/5.0172287.'
mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning of Discrete Models of Variational
PDEs from Data.” Chaos, vol. 34, no. 1, 013104, AIP Publishing, 2024, doi:10.1063/5.0172287.
short: C. Offen, S. Ober-Blöbaum, Chaos 34 (2024).
date_created: 2023-08-10T08:24:48Z
date_updated: 2024-01-09T11:29:06Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0172287
external_id:
arxiv:
- '2308.05082 '
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T10:48:38Z
date_updated: 2024-01-09T10:48:38Z
file_id: '50376'
file_name: Accepted manuscript with AIP banner CHA23-AR-01370.pdf
file_size: 13222105
relation: main_file
title: Accepted Manuscript Chaos
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2024-01-09T11:19:49Z
date_updated: 2024-01-09T11:19:49Z
description: |-
We show how to learn discrete field theories from observational data of fields on a space-time lattice. For this, we train
a neural network model of a discrete Lagrangian density such that the discrete Euler–Lagrange equations are consistent
with the given training data. We, thus, obtain a structure-preserving machine learning architecture. Lagrangian
densities are not uniquely defined by the solutions of a field theory. We introduce a technique to derive regularisers for
the training process which optimise numerical regularity of the discrete field theory. Minimisation of the regularisers
guarantees that close to the training data the discrete field theory behaves robust and efficient when used in numerical
simulations. Further, we show how to identify structurally simple solutions of the underlying continuous field theory
such as travelling waves. This is possible even when travelling waves are not present in the training data. This is
compared to data-driven model order reduction based approaches, which struggle to identify suitable latent spaces
containing structurally simple solutions when these are not present in the training data. Ideas are demonstrated on
examples based on the wave equation and the Schrödinger equation.
file_id: '50390'
file_name: LDensityPDE_AIP.pdf
file_size: 12960884
relation: main_file
title: Learning of discrete models of variational PDEs from data
file_date_updated: 2024-01-09T11:19:49Z
has_accepted_license: '1'
intvolume: ' 34'
issue: '1'
language:
- iso: eng
oa: '1'
publication: Chaos
publication_identifier:
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/DLNN_pde
status: public
title: Learning of discrete models of variational PDEs from data
type: journal_article
user_id: '85279'
volume: 34
year: '2024'
...
---
_id: '50554'
author:
- first_name: Susanne
full_name: Prediger, Susanne
last_name: Prediger
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
citation:
ama: 'Prediger S, Wessel L. 31 Sprachbildung im berufsbezogenen Mathematikunterricht.
In: Efing C, Kalkavan-Aydin Z, eds. Berufs-und Fachsprache Deutsch in Wissenschaft
und Praxis. Vol Band 3. DaZ-Handbücher. DE GRUYTER; 2024:363-372.'
apa: 'Prediger, S., & Wessel, L. (2024). 31 Sprachbildung im berufsbezogenen
Mathematikunterricht. In C. Efing & Z. Kalkavan-Aydin (Eds.), Berufs-und
Fachsprache Deutsch in Wissenschaft und Praxis: Vol. Band 3 (pp. 363–372).
DE GRUYTER.'
bibtex: '@inbook{Prediger_Wessel_2024, place={Berlin}, series={DaZ-Handbücher},
title={31 Sprachbildung im berufsbezogenen Mathematikunterricht.}, volume={Band
3}, booktitle={Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis}, publisher={DE
GRUYTER}, author={Prediger, Susanne and Wessel, Lena}, editor={Efing, Christian
and Kalkavan-Aydin, Zeynep}, year={2024}, pages={363–372}, collection={DaZ-Handbücher}
}'
chicago: 'Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen
Mathematikunterricht.” In Berufs-und Fachsprache Deutsch in Wissenschaft und
Praxis, edited by Christian Efing and Zeynep Kalkavan-Aydin, Band 3:363–72.
DaZ-Handbücher. Berlin: DE GRUYTER, 2024.'
ieee: 'S. Prediger and L. Wessel, “31 Sprachbildung im berufsbezogenen Mathematikunterricht.,”
in Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, vol. Band
3, C. Efing and Z. Kalkavan-Aydin, Eds. Berlin: DE GRUYTER, 2024, pp. 363–372.'
mla: Prediger, Susanne, and Lena Wessel. “31 Sprachbildung im berufsbezogenen Mathematikunterricht.”
Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis, edited by Christian
Efing and Zeynep Kalkavan-Aydin, vol. Band 3, DE GRUYTER, 2024, pp. 363–72.
short: 'S. Prediger, L. Wessel, in: C. Efing, Z. Kalkavan-Aydin (Eds.), Berufs-und
Fachsprache Deutsch in Wissenschaft und Praxis, DE GRUYTER, Berlin, 2024, pp.
363–372.'
date_created: 2024-01-17T10:58:04Z
date_updated: 2024-01-17T11:07:21Z
department:
- _id: '34'
- _id: '10'
- _id: '643'
editor:
- first_name: Christian
full_name: Efing, Christian
last_name: Efing
- first_name: Zeynep
full_name: Kalkavan-Aydin, Zeynep
last_name: Kalkavan-Aydin
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.degruyter.com/document/doi/10.1515/9783110745504/pdf?licenseType=restricted#page=381
oa: '1'
page: 363-372
place: Berlin
publication: Berufs-und Fachsprache Deutsch in Wissenschaft und Praxis
publication_identifier:
isbn:
- 978-3-11-074544-3
publication_status: published
publisher: DE GRUYTER
series_title: DaZ-Handbücher
status: public
title: 31 Sprachbildung im berufsbezogenen Mathematikunterricht.
type: book_chapter
user_id: '37888'
volume: Band 3
year: '2024'
...
---
_id: '51208'
abstract:
- lang: eng
text: AbstractApproximation of subdifferentials
is one of the main tasks when computing descent directions for nonsmooth optimization
problems. In this article, we propose a bisection method for weakly lower semismooth
functions which is able to compute new subgradients that improve a given approximation
in case a direction with insufficient descent was computed. Combined with a recently
proposed deterministic gradient sampling approach, this yields a deterministic
and provably convergent way to approximate subdifferentials for computing descent
directions.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth
optimization. Computational Optimization and Applications. Published online
2024. doi:10.1007/s10589-024-00552-0
apa: Gebken, B. (2024). A note on the convergence of deterministic gradient sampling
in nonsmooth optimization. Computational Optimization and Applications.
https://doi.org/10.1007/s10589-024-00552-0
bibtex: '@article{Gebken_2024, title={A note on the convergence of deterministic
gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0},
journal={Computational Optimization and Applications}, publisher={Springer Science
and Business Media LLC}, author={Gebken, Bennet}, year={2024} }'
chicago: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
in Nonsmooth Optimization.” Computational Optimization and Applications,
2024. https://doi.org/10.1007/s10589-024-00552-0.
ieee: 'B. Gebken, “A note on the convergence of deterministic gradient sampling
in nonsmooth optimization,” Computational Optimization and Applications,
2024, doi: 10.1007/s10589-024-00552-0.'
mla: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
in Nonsmooth Optimization.” Computational Optimization and Applications,
Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.
short: B. Gebken, Computational Optimization and Applications (2024).
date_created: 2024-02-07T07:23:23Z
date_updated: 2024-02-08T08:05:54Z
department:
- _id: '101'
doi: 10.1007/s10589-024-00552-0
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
language:
- iso: eng
publication: Computational Optimization and Applications
publication_identifier:
issn:
- 0926-6003
- 1573-2894
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A note on the convergence of deterministic gradient sampling in nonsmooth optimization
type: journal_article
user_id: '32643'
year: '2024'
...
---
_id: '51204'
abstract:
- lang: eng
text: "Given a real semisimple connected Lie group $G$ and a discrete torsion-free\r\nsubgroup
$\\Gamma < G$ we prove a precise connection between growth rates of the\r\ngroup
$\\Gamma$, polyhedral bounds on the joint spectrum of the ring of\r\ninvariant
differential operators, and the decay of matrix coefficients. In\r\nparticular,
this allows us to completely characterize temperedness of\r\n$L^2(\\Gamma\\backslash
G)$ in this general setting."
author:
- first_name: Christopher
full_name: Lutsko, Christopher
last_name: Lutsko
- first_name: Tobias
full_name: Weich, Tobias
last_name: Weich
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: Lutsko C, Weich T, Wolf LL. Polyhedral bounds on the joint spectrum and temperedness
of locally symmetric spaces. arXiv:240202530. Published online 2024.
apa: Lutsko, C., Weich, T., & Wolf, L. L. (2024). Polyhedral bounds on the joint
spectrum and temperedness of locally symmetric spaces. In arXiv:2402.02530.
bibtex: '@article{Lutsko_Weich_Wolf_2024, title={Polyhedral bounds on the joint
spectrum and temperedness of locally symmetric spaces}, journal={arXiv:2402.02530},
author={Lutsko, Christopher and Weich, Tobias and Wolf, Lasse Lennart}, year={2024}
}'
chicago: Lutsko, Christopher, Tobias Weich, and Lasse Lennart Wolf. “Polyhedral
Bounds on the Joint Spectrum and Temperedness of Locally Symmetric Spaces.” ArXiv:2402.02530,
2024.
ieee: C. Lutsko, T. Weich, and L. L. Wolf, “Polyhedral bounds on the joint spectrum
and temperedness of locally symmetric spaces,” arXiv:2402.02530. 2024.
mla: Lutsko, Christopher, et al. “Polyhedral Bounds on the Joint Spectrum and Temperedness
of Locally Symmetric Spaces.” ArXiv:2402.02530, 2024.
short: C. Lutsko, T. Weich, L.L. Wolf, ArXiv:2402.02530 (2024).
date_created: 2024-02-06T20:35:36Z
date_updated: 2024-02-11T19:56:35Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
arxiv:
- '2402.02530'
language:
- iso: eng
publication: arXiv:2402.02530
status: public
title: Polyhedral bounds on the joint spectrum and temperedness of locally symmetric
spaces
type: preprint
user_id: '49178'
year: '2024'
...
---
_id: '51374'
article_number: '110319'
author:
- first_name: David
full_name: Hasler, David
last_name: Hasler
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Siebert, Oliver
last_name: Siebert
citation:
ama: Hasler D, Hinrichs B, Siebert O. Non-Fock ground states in the translation-invariant
Nelson model revisited non-perturbatively. Journal of Functional Analysis.
2024;286(7). doi:10.1016/j.jfa.2024.110319
apa: Hasler, D., Hinrichs, B., & Siebert, O. (2024). Non-Fock ground states
in the translation-invariant Nelson model revisited non-perturbatively. Journal
of Functional Analysis, 286(7), Article 110319. https://doi.org/10.1016/j.jfa.2024.110319
bibtex: '@article{Hasler_Hinrichs_Siebert_2024, title={Non-Fock ground states in
the translation-invariant Nelson model revisited non-perturbatively}, volume={286},
DOI={10.1016/j.jfa.2024.110319},
number={7110319}, journal={Journal of Functional Analysis}, publisher={Elsevier
BV}, author={Hasler, David and Hinrichs, Benjamin and Siebert, Oliver}, year={2024}
}'
chicago: Hasler, David, Benjamin Hinrichs, and Oliver Siebert. “Non-Fock Ground
States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively.”
Journal of Functional Analysis 286, no. 7 (2024). https://doi.org/10.1016/j.jfa.2024.110319.
ieee: 'D. Hasler, B. Hinrichs, and O. Siebert, “Non-Fock ground states in the translation-invariant
Nelson model revisited non-perturbatively,” Journal of Functional Analysis,
vol. 286, no. 7, Art. no. 110319, 2024, doi: 10.1016/j.jfa.2024.110319.'
mla: Hasler, David, et al. “Non-Fock Ground States in the Translation-Invariant
Nelson Model Revisited Non-Perturbatively.” Journal of Functional Analysis,
vol. 286, no. 7, 110319, Elsevier BV, 2024, doi:10.1016/j.jfa.2024.110319.
short: D. Hasler, B. Hinrichs, O. Siebert, Journal of Functional Analysis 286 (2024).
date_created: 2024-02-18T12:31:28Z
date_updated: 2024-02-18T12:32:23Z
department:
- _id: '799'
doi: 10.1016/j.jfa.2024.110319
extern: '1'
external_id:
arxiv:
- '2302.06998'
intvolume: ' 286'
issue: '7'
keyword:
- Analysis
language:
- iso: eng
publication: Journal of Functional Analysis
publication_identifier:
issn:
- 0022-1236
publication_status: published
publisher: Elsevier BV
status: public
title: Non-Fock ground states in the translation-invariant Nelson model revisited
non-perturbatively
type: journal_article
user_id: '99427'
volume: 286
year: '2024'
...
---
_id: '32101'
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Colin
full_name: Guillarmou, Colin
last_name: Guillarmou
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Weich T, Guedes Bonthonneau Y, Guillarmou C, Hilgert J. Ruelle-Taylor resonaces
of Anosov actions. J Europ Math Soc. Published online 2024:1-36.
apa: Weich, T., Guedes Bonthonneau, Y., Guillarmou, C., & Hilgert, J. (2024).
Ruelle-Taylor resonaces of Anosov actions. J. Europ. Math. Soc., 1–36.
bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_Hilgert_2024, title={Ruelle-Taylor
resonaces of Anosov actions}, journal={J. Europ. Math. Soc.}, author={Weich, Tobias
and Guedes Bonthonneau, Yannick and Guillarmou, Colin and Hilgert, Joachim}, year={2024},
pages={1–36} }'
chicago: Weich, Tobias, Yannick Guedes Bonthonneau, Colin Guillarmou, and Joachim
Hilgert. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ. Math. Soc.,
2024, 1–36.
ieee: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, and J. Hilgert, “Ruelle-Taylor
resonaces of Anosov actions,” J. Europ. Math. Soc., pp. 1–36, 2024.
mla: Weich, Tobias, et al. “Ruelle-Taylor Resonaces of Anosov Actions.” J. Europ.
Math. Soc., 2024, pp. 1–36.
short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, J. Hilgert, J. Europ. Math.
Soc. (2024) 1–36.
date_created: 2022-06-22T09:56:51Z
date_updated: 2024-02-19T06:25:13Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
file:
- access_level: open_access
content_type: application/pdf
creator: weich
date_created: 2022-06-22T09:56:47Z
date_updated: 2022-06-22T09:56:47Z
file_id: '32102'
file_name: 2007.14275.pdf
file_size: 796410
relation: main_file
file_date_updated: 2022-06-22T09:56:47Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
page: 1-36
publication: J. Europ. Math. Soc.
publication_status: published
status: public
title: Ruelle-Taylor resonaces of Anosov actions
type: journal_article
user_id: '49063'
year: '2024'
...
---
_id: '51501'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Hilgert J. Quantum-Classical Correspondences for Locally Symmetric Spaces.
Published online 2024.
apa: Hilgert, J. (2024). Quantum-Classical Correspondences for Locally Symmetric
Spaces.
bibtex: '@article{Hilgert_2024, title={Quantum-Classical Correspondences for Locally
Symmetric Spaces}, author={Hilgert, Joachim}, year={2024} }'
chicago: Hilgert, Joachim. “Quantum-Classical Correspondences for Locally Symmetric
Spaces,” 2024.
ieee: J. Hilgert, “Quantum-Classical Correspondences for Locally Symmetric Spaces.”
2024.
mla: Hilgert, Joachim. Quantum-Classical Correspondences for Locally Symmetric
Spaces. 2024.
short: J. Hilgert, (2024).
date_created: 2024-02-19T10:31:51Z
date_updated: 2024-02-19T10:32:07Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2303.00578.pdf
oa: '1'
publication_status: published
status: public
title: Quantum-Classical Correspondences for Locally Symmetric Spaces
type: preprint
user_id: '49063'
year: '2024'
...
---
_id: '46019'
abstract:
- lang: eng
text: We derive efficient algorithms to compute weakly Pareto optimal solutions
for smooth, convex and unconstrained multiobjective optimization problems in general
Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical
system in the multiobjective setting, which trajectories converge weakly to Pareto
optimal solutions. Discretization of this system yields an inertial multiobjective
algorithm which generates sequences that converge weakly to Pareto optimal solutions.
We employ Nesterov acceleration to define an algorithm with an improved convergence
rate compared to the plain multiobjective steepest descent method (Algorithm 1).
A further improvement in terms of efficiency is achieved by avoiding the solution
of a quadratic subproblem to compute a common step direction for all objective
functions, which is usually required in first-order methods. Using a different
discretization of our inertial gradient-like dynamical system, we obtain an accelerated
multiobjective gradient method that does not require the solution of a subproblem
in each step (Algorithm 2). While this algorithm does not converge in general,
it yields good results on test problems while being faster than standard steepest
descent.
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration
via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications.
Published online 2024. doi:10.1007/s10957-024-02389-3
apa: Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with
Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization
Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3
bibtex: '@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods
with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={10.1007/s10957-024-02389-3},
journal={Journal of Optimization Theory and Applications}, publisher={Springer},
author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }'
chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient
Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal
of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3.
ieee: 'K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov
Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory
and Applications, 2024, doi: 10.1007/s10957-024-02389-3.'
mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods
with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of
Optimization Theory and Applications, Springer, 2024, doi:10.1007/s10957-024-02389-3.
short: K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
date_created: 2023-07-12T06:35:58Z
date_updated: 2024-02-21T10:13:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10957-024-02389-3
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf
oa: '1'
publication: Journal of Optimization Theory and Applications
publication_status: published
publisher: Springer
status: public
title: Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial
Gradient-Like Systems
type: journal_article
user_id: '56399'
year: '2024'
...
---
_id: '51334'
abstract:
- lang: eng
text: The efficient optimization method for locally Lipschitz continuous multiobjective
optimization problems from [1] is extended from finite-dimensional problems to
general Hilbert spaces. The method iteratively computes Pareto critical points,
where in each iteration, an approximation of the subdifferential is computed in
an efficient manner and then used to compute a common descent direction for all
objective functions. To prove convergence, we present some new optimality results
for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these,
we can show that every accumulation point of the sequence generated by our algorithm
is Pareto critical under common assumptions. Computational efficiency for finding
Pareto critical points is numerically demonstrated for multiobjective optimal
control of an obstacle problem.
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Georg
full_name: Müller, Georg
last_name: Müller
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth
Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published
online 2024.
apa: Sonntag, K., Gebken, B., Müller, G., Peitz, S., & Volkwein, S. (2024).
A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.
In arXiv:2402.06376.
bibtex: '@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method
for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376},
author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian
and Volkwein, Stefan}, year={2024} }'
chicago: Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and
Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in
Hilbert Spaces.” ArXiv:2402.06376, 2024.
ieee: K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method
for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376.
2024.
mla: Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective
Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
short: K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376
(2024).
date_created: 2024-02-13T09:35:26Z
date_updated: 2024-02-21T10:21:03Z
department:
- _id: '101'
- _id: '655'
external_id:
arxiv:
- "\t2402.06376"
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2402.06376
oa: '1'
publication: arXiv:2402.06376
status: public
title: A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
type: preprint
user_id: '56399'
year: '2024'
...
---
_id: '51841'
abstract:
- lang: ger
text: 'athematische Kompetenzen digital zu fördern und digitale Kompetenzen mathematisch
zu fördern – dies ist eine Forderung der neuen Bildungsstandards mit Blick auf
eine Bildung in der digitalen Welt. Gerade das Potenzial digitaler Medien für
das fachliche Lernen wurde in vielen Studien bestätigt. Eine sinnvoll gestaltete
Einbettung digitaler Medien bietet die Chance, allen fünf Prinzipien eines guten
Unterrichts gerecht zu werden: Verstehensorientierung, Durchgängigkeit, kognitive
Aktivierung, Lernendenorientierung & Adaptivität und Kommunikationsförderung.
Die flächendeckende Nutzung digitaler Medien etabliert sich bislang nur zögerlich.
Aber wie können wir Lehrkräfte stärken, digitale Medien sinnvoll einzusetzen?
Wir möchten hier die Bandbreite der Möglichkeiten an Beispielen verdeutlichen,
ihren Einsatz motivieren und Wege für einen guten Unterricht aufzeigen.'
article_type: original
author:
- first_name: Bärbel
full_name: Barzel, Bärbel
last_name: Barzel
- first_name: Gilbert
full_name: Greefrath, Gilbert
last_name: Greefrath
- first_name: Mareike
full_name: Nagel, Mareike
last_name: Nagel
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: Barzel B, Greefrath G, Nagel M, Hoffmann M. Digitalisierung als Chance für
alle Prinzipien guten Unterrichts. mathematik lehren. 2024;242:42-47.
apa: Barzel, B., Greefrath, G., Nagel, M., & Hoffmann, M. (2024). Digitalisierung
als Chance für alle Prinzipien guten Unterrichts. mathematik lehren, 242,
42–47.
bibtex: '@article{Barzel_Greefrath_Nagel_Hoffmann_2024, title={Digitalisierung als
Chance für alle Prinzipien guten Unterrichts}, volume={242}, journal={mathematik
lehren}, author={Barzel, Bärbel and Greefrath, Gilbert and Nagel, Mareike and
Hoffmann, Max}, year={2024}, pages={42–47} }'
chicago: 'Barzel, Bärbel, Gilbert Greefrath, Mareike Nagel, and Max Hoffmann. “Digitalisierung
als Chance für alle Prinzipien guten Unterrichts.” mathematik lehren 242
(2024): 42–47.'
ieee: B. Barzel, G. Greefrath, M. Nagel, and M. Hoffmann, “Digitalisierung als Chance
für alle Prinzipien guten Unterrichts,” mathematik lehren, vol. 242, pp.
42–47, 2024.
mla: Barzel, Bärbel, et al. “Digitalisierung als Chance für alle Prinzipien guten
Unterrichts.” mathematik lehren, vol. 242, 2024, pp. 42–47.
short: B. Barzel, G. Greefrath, M. Nagel, M. Hoffmann, mathematik lehren 242 (2024)
42–47.
date_created: 2024-02-25T20:58:51Z
date_updated: 2024-02-25T21:01:03Z
ddc:
- '510'
- '370'
department:
- _id: '97'
- _id: '643'
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2024-02-25T20:55:29Z
date_updated: 2024-02-25T20:55:29Z
file_id: '51842'
file_name: Barzel_etal_2024_DigitalisierungalsChancefrallePrinzipiengut.pdf
file_size: 1410541
relation: main_file
success: 1
file_date_updated: 2024-02-25T20:55:29Z
has_accepted_license: '1'
intvolume: ' 242'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://www.friedrich-verlag.de/shop/mwdownloads/download/link/id/114555/
oa: '1'
page: 42 - 47
publication: mathematik lehren
publication_status: published
status: public
title: Digitalisierung als Chance für alle Prinzipien guten Unterrichts
type: journal_article
user_id: '32202'
volume: 242
year: '2024'
...
---
_id: '52342'
abstract:
- lang: eng
text: 'We introduce the concept of a k-token signed graph and study some of its
combinatorial and algebraic properties. We prove that two switching isomorphic
signed graphs have switching isomorphic token graphs. Moreover, we show that the
Laplacian spectrum of a balanced signed graph is contained in the Laplacian spectra
of its k-token signed graph. Besides, we introduce and study the unbalance level
of a signed graph, which is a new parameter that measures how far a signed graph
is from being balanced. Moreover, we study the relation between the frustration
index and the unbalance level of signed graphs and their token signed graphs. '
author:
- first_name: C.
full_name: Dalfó, C.
last_name: Dalfó
- first_name: M. A.
full_name: Fiol, M. A.
last_name: Fiol
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: Dalfó C, Fiol MA, Steffen E. On token signed graphs. arXiv:240302924.
Published online 2024.
apa: Dalfó, C., Fiol, M. A., & Steffen, E. (2024). On token signed graphs. In
arXiv:2403.02924.
bibtex: '@article{Dalfó_Fiol_Steffen_2024, title={On token signed graphs}, journal={arXiv:2403.02924},
author={Dalfó, C. and Fiol, M. A. and Steffen, Eckhard}, year={2024} }'
chicago: Dalfó, C., M. A. Fiol, and Eckhard Steffen. “On Token Signed Graphs.” ArXiv:2403.02924,
2024.
ieee: C. Dalfó, M. A. Fiol, and E. Steffen, “On token signed graphs,” arXiv:2403.02924.
2024.
mla: Dalfó, C., et al. “On Token Signed Graphs.” ArXiv:2403.02924, 2024.
short: C. Dalfó, M.A. Fiol, E. Steffen, ArXiv:2403.02924 (2024).
date_created: 2024-03-07T08:48:39Z
date_updated: 2024-03-07T08:50:33Z
department:
- _id: '542'
external_id:
arxiv:
- '2403.02924'
language:
- iso: eng
publication: arXiv:2403.02924
status: public
title: On token signed graphs
type: preprint
user_id: '15540'
year: '2024'
...
---
_id: '52691'
abstract:
- lang: eng
text: "We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators
in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics.
The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical
electrons moving in a polarizable crystal and interacting with the\r\nquantized
phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons
and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We
also include possibly very singular magnetic vector potentials and\r\nelectrostatic
potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative
functionals and can be applied to every vector\r\nin the underlying Hilbert space.
In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac
formulas are known, the analysis of the\r\ncreation and annihilation terms in
the multiplicative functionals requires\r\nnovel ideas to overcome difficulties
caused by the phonon dispersion relation\r\nbeing constant. Getting these terms
under control and generalizing other\r\nconstruction steps so as to cover confined
systems are the main achievements of\r\nthis article."
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Matte, Oliver
last_name: Matte
citation:
ama: Hinrichs B, Matte O. Feynman-Kac formulas for semigroups generated by multi-polaron
Hamiltonians in magnetic fields and on general domains. arXiv:240312147.
Published online 2024.
apa: Hinrichs, B., & Matte, O. (2024). Feynman-Kac formulas for semigroups generated
by multi-polaron Hamiltonians in magnetic fields and on general domains. In arXiv:2403.12147.
bibtex: '@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups
generated by multi-polaron Hamiltonians in magnetic fields and on general domains},
journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024}
}'
chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups
Generated by Multi-Polaron Hamiltonians in Magnetic Fields and on General Domains.”
ArXiv:2403.12147, 2024.
ieee: B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by
multi-polaron Hamiltonians in magnetic fields and on general domains,” arXiv:2403.12147.
2024.
mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups
Generated by Multi-Polaron Hamiltonians in Magnetic Fields and on General Domains.”
ArXiv:2403.12147, 2024.
short: B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).
date_created: 2024-03-20T14:56:05Z
date_updated: 2024-03-20T14:56:50Z
department:
- _id: '799'
external_id:
arxiv:
- '2403.12147'
language:
- iso: eng
publication: arXiv:2403.12147
status: public
title: Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians
in magnetic fields and on general domains
type: preprint
user_id: '99427'
year: '2024'
...
---
_id: '52726'
abstract:
- lang: eng
text: Heteroclinic structures organize global features of dynamical systems. We
analyse whether heteroclinic structures can arise in network dynamics with higher-order
interactions which describe the nonlinear interactions between three or more units.
We find that while commonly analysed model equations such as network dynamics
on undirected hypergraphs may be useful to describe local dynamics such as cluster
synchronization, they give rise to obstructions that allow to design of heteroclinic
structures in phase space. By contrast, directed hypergraphs break the homogeneity
and lead to vector fields that support heteroclinic structures.
article_type: original
author:
- first_name: Christian
full_name: Bick, Christian
last_name: Bick
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
citation:
ama: Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems
with higher-order interactions. Journal of Complex Networks. 2024;12(2).
doi:10.1093/comnet/cnae009
apa: Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network
dynamical systems with higher-order interactions. Journal of Complex Networks,
12(2). https://doi.org/10.1093/comnet/cnae009
bibtex: '@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network
dynamical systems with higher-order interactions}, volume={12}, DOI={10.1093/comnet/cnae009},
number={2}, journal={Journal of Complex Networks}, publisher={Oxford University
Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024}
}'
chicago: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks
12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009.
ieee: 'C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical
systems with higher-order interactions,” Journal of Complex Networks, vol.
12, no. 2, 2024, doi: 10.1093/comnet/cnae009.'
mla: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks,
vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
short: C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
date_created: 2024-03-22T09:04:57Z
date_updated: 2024-03-22T09:11:53Z
ddc:
- '510'
department:
- _id: '101'
doi: 10.1093/comnet/cnae009
external_id:
arxiv:
- '2309.02006'
file:
- access_level: closed
content_type: application/pdf
creator: svdg
date_created: 2024-03-22T09:06:07Z
date_updated: 2024-03-22T09:06:07Z
file_id: '52728'
file_name: heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf
file_size: 649155
relation: main_file
success: 1
file_date_updated: 2024-03-22T09:06:07Z
has_accepted_license: '1'
intvolume: ' 12'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
- Management Science and Operations Research
- Computer Networks and Communications
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf
oa: '1'
publication: Journal of Complex Networks
publication_identifier:
issn:
- 2051-1329
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Heteroclinic dynamics in network dynamical systems with higher-order interactions
type: journal_article
user_id: '97359'
volume: 12
year: '2024'
...
---
_id: '49905'
abstract:
- lang: eng
text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected
r-graph has s pairwise disjoint perfect matchings. There are only a few values
of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for
all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤
3l − 6 for every l ≥ 3 and r ≥ 2l."
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint
Perfect Matchings in Regular Graphs. Combinatorica. 2024;44:429-440. doi:10.1007/s00493-023-00078-9
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2024). Edge-Connectivity
and Pairwise Disjoint Perfect Matchings in Regular Graphs. Combinatorica,
44, 429–440. https://doi.org/10.1007/s00493-023-00078-9
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise
Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={10.1007/s00493-023-00078-9},
journal={Combinatorica}, publisher={Springer Science and Business Media LLC},
author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus},
year={2024}, pages={429–440} }'
chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.”
Combinatorica 44 (2024): 429–40. https://doi.org/10.1007/s00493-023-00078-9.'
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise
Disjoint Perfect Matchings in Regular Graphs,” Combinatorica, vol. 44,
pp. 429–440, 2024, doi: 10.1007/s00493-023-00078-9.'
mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings
in Regular Graphs.” Combinatorica, vol. 44, Springer Science and Business
Media LLC, 2024, pp. 429–40, doi:10.1007/s00493-023-00078-9.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.
date_created: 2023-12-20T10:31:27Z
date_updated: 2024-03-22T12:11:35Z
department:
- _id: '542'
doi: 10.1007/s00493-023-00078-9
intvolume: ' 44'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 429-440
publication: Combinatorica
publication_identifier:
issn:
- 0209-9683
- 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs
type: journal_article
user_id: '15540'
volume: 44
year: '2024'
...
---
_id: '53101'
abstract:
- lang: eng
text: In this work, we consider optimal control problems for mechanical systems
with fixed initial and free final state and a quadratic Lagrange term. Specifically,
the dynamics is described by a second order ODE containing an affine control term.
Classically, Pontryagin's maximum principle gives necessary optimality conditions
for the optimal control problem. For smooth problems, alternatively, a variational
approach based on an augmented objective can be followed. Here, we propose a new
Lagrangian approach leading to equivalent necessary optimality conditions in the
form of Euler-Lagrange equations. Thus, the differential geometric structure (similar
to classical Lagrangian dynamics) can be exploited in the framework of optimal
control problems. In particular, the formulation enables the symplectic discretisation
of the optimal control problem via variational integrators in a straightforward
way.
article_type: original
author:
- first_name: Sigrid
full_name: Leyendecker, Sigrid
last_name: Leyendecker
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Rodrigo T. Sato Martín de
full_name: Almagro, Rodrigo T. Sato Martín de
last_name: Almagro
- first_name: Flóra Orsolya
full_name: Szemenyei, Flóra Orsolya
last_name: Szemenyei
citation:
ama: Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO.
A new Lagrangian approach to control affine systems with a quadratic Lagrange
term. Journal of Computational Dynamics. 2024;0(0):0-0. doi:10.3934/jcd.2024017
apa: Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de,
& Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems
with a quadratic Lagrange term. Journal of Computational Dynamics, 0(0),
0–0. https://doi.org/10.3934/jcd.2024017
bibtex: '@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A
new Lagrangian approach to control affine systems with a quadratic Lagrange term},
volume={0}, DOI={10.3934/jcd.2024017},
number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya,
Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei,
Flóra Orsolya}, year={2024}, pages={0–0} }'
chicago: 'Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T.
Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach
to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational
Dynamics 0, no. 0 (2024): 0–0. https://doi.org/10.3934/jcd.2024017.'
ieee: 'S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro,
and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with
a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0,
no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.'
mla: Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems
with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol.
0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017.
short: S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O.
Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.
date_created: 2024-03-28T15:58:02Z
date_updated: 2024-03-28T16:07:34Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jcd.2024017
has_accepted_license: '1'
issue: '0'
keyword:
- Optimal control problem
- Lagrangian system
- Hamiltonian system
- Variations
- Pontryagin's maximum principle.
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.aimsciences.org/article/doi/10.3934/jcd.2024017
oa: '1'
page: 0-0
publication: Journal of Computational Dynamics
publication_identifier:
issn:
- 2158-2491
- 2158-2505
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: A new Lagrangian approach to control affine systems with a quadratic Lagrange
term
type: journal_article
user_id: '87909'
volume: '0'
year: '2024'
...
---
_id: '21199'
abstract:
- lang: eng
text: "As in almost every other branch of science, the major advances in data\r\nscience
and machine learning have also resulted in significant improvements\r\nregarding
the modeling and simulation of nonlinear dynamical systems. It is\r\nnowadays
possible to make accurate medium to long-term predictions of highly\r\ncomplex
systems such as the weather, the dynamics within a nuclear fusion\r\nreactor,
of disease models or the stock market in a very efficient manner. In\r\nmany cases,
predictive methods are advertised to ultimately be useful for\r\ncontrol, as the
control of high-dimensional nonlinear systems is an engineering\r\ngrand challenge
with huge potential in areas such as clean and efficient energy\r\nproduction,
or the development of advanced medical devices. However, the\r\nquestion of how
to use a predictive model for control is often left unanswered\r\ndue to the associated
challenges, namely a significantly higher system\r\ncomplexity, the requirement
of much larger data sets and an increased and often\r\nproblem-specific modeling
effort. To solve these issues, we present a universal\r\nframework (which we call
QuaSiModO:\r\nQuantization-Simulation-Modeling-Optimization) to transform arbitrary\r\npredictive
models into control systems and use them for feedback control. The\r\nadvantages
of our approach are a linear increase in data requirements with\r\nrespect to
the control dimension, performance guarantees that rely exclusively\r\non the
accuracy of the predictive model, and only little prior knowledge\r\nrequirements
in control theory to solve complex control problems. In particular\r\nthe latter
point is of key importance to enable a large number of researchers\r\nand practitioners
to exploit the ever increasing capabilities of predictive\r\nmodels for control
in a straight-forward and systematic fashion."
article_number: '110840'
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
citation:
ama: Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to
Control Systems. Automatica. 2023;149. doi:10.1016/j.automatica.2022.110840
apa: Peitz, S., & Bieker, K. (2023). On the Universal Transformation of Data-Driven
Models to Control Systems. Automatica, 149, Article 110840. https://doi.org/10.1016/j.automatica.2022.110840
bibtex: '@article{Peitz_Bieker_2023, title={On the Universal Transformation of Data-Driven
Models to Control Systems}, volume={149}, DOI={10.1016/j.automatica.2022.110840},
number={110840}, journal={Automatica}, publisher={Elsevier}, author={Peitz, Sebastian
and Bieker, Katharina}, year={2023} }'
chicago: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation
of Data-Driven Models to Control Systems.” Automatica 149 (2023). https://doi.org/10.1016/j.automatica.2022.110840.
ieee: 'S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models
to Control Systems,” Automatica, vol. 149, Art. no. 110840, 2023, doi:
10.1016/j.automatica.2022.110840.'
mla: Peitz, Sebastian, and Katharina Bieker. “On the Universal Transformation of
Data-Driven Models to Control Systems.” Automatica, vol. 149, 110840, Elsevier,
2023, doi:10.1016/j.automatica.2022.110840.
short: S. Peitz, K. Bieker, Automatica 149 (2023).
date_created: 2021-02-10T07:04:15Z
date_updated: 2023-01-07T12:01:58Z
department:
- _id: '101'
- _id: '655'
doi: 10.1016/j.automatica.2022.110840
intvolume: ' 149'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.sciencedirect.com/science/article/pii/S0005109822007075/pdfft?isDTMRedir=true&download=true
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Automatica
publication_status: published
publisher: Elsevier
status: public
title: On the Universal Transformation of Data-Driven Models to Control Systems
type: journal_article
user_id: '47427'
volume: 149
year: '2023'
...
---
_id: '35697'
author:
- first_name: Laura
full_name: Ostsieker, Laura
last_name: Ostsieker
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Ostsieker L, Biehler R. Supporting Students in Developing Adequate Concept
Images and Definitions at University: The Case of the Convergence of Sequences.
In: Practice-Oriented Research in Tertiary Mathematics Education. Springer
International Publishing; 2023:181-201. doi:10.1007/978-3-031-14175-1_9'
apa: 'Ostsieker, L., & Biehler, R. (2023). Supporting Students in Developing
Adequate Concept Images and Definitions at University: The Case of the Convergence
of Sequences. In Practice-Oriented Research in Tertiary Mathematics Education
(pp. 181–201). Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_9'
bibtex: '@inbook{Ostsieker_Biehler_2023, place={Cham}, title={Supporting Students
in Developing Adequate Concept Images and Definitions at University: The Case
of the Convergence of Sequences}, DOI={10.1007/978-3-031-14175-1_9},
booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
International Publishing}, author={Ostsieker, Laura and Biehler, Rolf}, year={2023},
pages={181–201} }'
chicago: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing
Adequate Concept Images and Definitions at University: The Case of the Convergence
of Sequences.” In Practice-Oriented Research in Tertiary Mathematics Education,
181–201. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_9.'
ieee: 'L. Ostsieker and R. Biehler, “Supporting Students in Developing Adequate
Concept Images and Definitions at University: The Case of the Convergence of Sequences,”
in Practice-Oriented Research in Tertiary Mathematics Education, Cham:
Springer International Publishing, 2023, pp. 181–201.'
mla: 'Ostsieker, Laura, and Rolf Biehler. “Supporting Students in Developing Adequate
Concept Images and Definitions at University: The Case of the Convergence of Sequences.”
Practice-Oriented Research in Tertiary Mathematics Education, Springer
International Publishing, 2023, pp. 181–201, doi:10.1007/978-3-031-14175-1_9.'
short: 'L. Ostsieker, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics
Education, Springer International Publishing, Cham, 2023, pp. 181–201.'
date_created: 2023-01-10T09:03:11Z
date_updated: 2023-01-11T08:19:24Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.1007/978-3-031-14175-1_9
language:
- iso: eng
page: 181-201
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: 'Supporting Students in Developing Adequate Concept Images and Definitions
at University: The Case of the Convergence of Sequences'
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '35678'
author:
- first_name: Jörg
full_name: Kortemeyer, Jörg
last_name: Kortemeyer
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Kortemeyer J, Biehler R. Analyzing the Interface Between Mathematics and Engineering
in Basic Engineering Courses. In: Practice-Oriented Research in Tertiary Mathematics
Education. Springer International Publishing; 2023:669-692. doi:10.1007/978-3-031-14175-1_32'
apa: Kortemeyer, J., & Biehler, R. (2023). Analyzing the Interface Between Mathematics
and Engineering in Basic Engineering Courses. In Practice-Oriented Research
in Tertiary Mathematics Education (pp. 669–692). Springer International Publishing.
https://doi.org/10.1007/978-3-031-14175-1_32
bibtex: '@inbook{Kortemeyer_Biehler_2023, place={Cham}, title={Analyzing the Interface
Between Mathematics and Engineering in Basic Engineering Courses}, DOI={10.1007/978-3-031-14175-1_32},
booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
International Publishing}, author={Kortemeyer, Jörg and Biehler, Rolf}, year={2023},
pages={669–692} }'
chicago: 'Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics
and Engineering in Basic Engineering Courses.” In Practice-Oriented Research
in Tertiary Mathematics Education, 669–92. Cham: Springer International Publishing,
2023. https://doi.org/10.1007/978-3-031-14175-1_32.'
ieee: 'J. Kortemeyer and R. Biehler, “Analyzing the Interface Between Mathematics
and Engineering in Basic Engineering Courses,” in Practice-Oriented Research
in Tertiary Mathematics Education, Cham: Springer International Publishing,
2023, pp. 669–692.'
mla: Kortemeyer, Jörg, and Rolf Biehler. “Analyzing the Interface Between Mathematics
and Engineering in Basic Engineering Courses.” Practice-Oriented Research in
Tertiary Mathematics Education, Springer International Publishing, 2023, pp.
669–92, doi:10.1007/978-3-031-14175-1_32.
short: 'J. Kortemeyer, R. Biehler, in: Practice-Oriented Research in Tertiary Mathematics
Education, Springer International Publishing, Cham, 2023, pp. 669–692.'
date_created: 2023-01-10T08:53:44Z
date_updated: 2023-01-11T08:20:40Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.1007/978-3-031-14175-1_32
language:
- iso: eng
page: 669-692
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Analyzing the Interface Between Mathematics and Engineering in Basic Engineering
Courses
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '35669'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Chris
full_name: Rasmussen, Chris
last_name: Rasmussen
- first_name: Carl
full_name: Winsløw, Carl
last_name: Winsløw
citation:
ama: 'Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C. Practice-Oriented
Research in Tertiary Mathematics Education – An Introduction. In: Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-031-14175-1_1'
apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C.
(2023). Practice-Oriented Research in Tertiary Mathematics Education – An Introduction.
In Practice-Oriented Research in Tertiary Mathematics Education. Springer
International Publishing. https://doi.org/10.1007/978-3-031-14175-1_1
bibtex: '@inbook{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
title={Practice-Oriented Research in Tertiary Mathematics Education – An Introduction},
DOI={10.1007/978-3-031-14175-1_1},
booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
International Publishing}, author={Biehler, Rolf and Liebendörfer, Michael and
Gueudet, Ghislaine and Rasmussen, Chris and Winsløw, Carl}, year={2023} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
and Carl Winsløw. “Practice-Oriented Research in Tertiary Mathematics Education
– An Introduction.” In Practice-Oriented Research in Tertiary Mathematics Education.
Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_1.'
ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, “Practice-Oriented
Research in Tertiary Mathematics Education – An Introduction,” in Practice-Oriented
Research in Tertiary Mathematics Education, Cham: Springer International Publishing,
2023.'
mla: Biehler, Rolf, et al. “Practice-Oriented Research in Tertiary Mathematics Education
– An Introduction.” Practice-Oriented Research in Tertiary Mathematics Education,
Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1_1.
short: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, in: Practice-Oriented
Research in Tertiary Mathematics Education, Springer International Publishing,
Cham, 2023.'
date_created: 2023-01-10T08:46:17Z
date_updated: 2023-01-11T08:38:52Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.1007/978-3-031-14175-1_1
language:
- iso: eng
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education – An Introduction
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '35681'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Christiane
full_name: Büdenbender-Kuklinski, Christiane
last_name: Büdenbender-Kuklinski
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
citation:
ama: 'Liebendörfer M, Büdenbender-Kuklinski C, Lankeit E, Schürmann M, Biehler R,
Schaper N. Framing Goals of Mathematics Support Measures. In: Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023:91-117. doi:10.1007/978-3-031-14175-1_5'
apa: Liebendörfer, M., Büdenbender-Kuklinski, C., Lankeit, E., Schürmann, M., Biehler,
R., & Schaper, N. (2023). Framing Goals of Mathematics Support Measures. In
Practice-Oriented Research in Tertiary Mathematics Education (pp. 91–117).
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1_5
bibtex: '@inbook{Liebendörfer_Büdenbender-Kuklinski_Lankeit_Schürmann_Biehler_Schaper_2023,
place={Cham}, title={Framing Goals of Mathematics Support Measures}, DOI={10.1007/978-3-031-14175-1_5},
booktitle={Practice-Oriented Research in Tertiary Mathematics Education}, publisher={Springer
International Publishing}, author={Liebendörfer, Michael and Büdenbender-Kuklinski,
Christiane and Lankeit, Elisa and Schürmann, Mirko and Biehler, Rolf and Schaper,
Niclas}, year={2023}, pages={91–117} }'
chicago: 'Liebendörfer, Michael, Christiane Büdenbender-Kuklinski, Elisa Lankeit,
Mirko Schürmann, Rolf Biehler, and Niclas Schaper. “Framing Goals of Mathematics
Support Measures.” In Practice-Oriented Research in Tertiary Mathematics Education,
91–117. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1_5.'
ieee: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R. Biehler,
and N. Schaper, “Framing Goals of Mathematics Support Measures,” in Practice-Oriented
Research in Tertiary Mathematics Education, Cham: Springer International Publishing,
2023, pp. 91–117.'
mla: Liebendörfer, Michael, et al. “Framing Goals of Mathematics Support Measures.”
Practice-Oriented Research in Tertiary Mathematics Education, Springer
International Publishing, 2023, pp. 91–117, doi:10.1007/978-3-031-14175-1_5.
short: 'M. Liebendörfer, C. Büdenbender-Kuklinski, E. Lankeit, M. Schürmann, R.
Biehler, N. Schaper, in: Practice-Oriented Research in Tertiary Mathematics Education,
Springer International Publishing, Cham, 2023, pp. 91–117.'
date_created: 2023-01-10T08:55:08Z
date_updated: 2023-01-17T23:33:06Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '423'
doi: 10.1007/978-3-031-14175-1_5
language:
- iso: eng
page: 91-117
place: Cham
publication: Practice-Oriented Research in Tertiary Mathematics Education
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Framing Goals of Mathematics Support Measures
type: book_chapter
user_id: '14931'
year: '2023'
...
---
_id: '37469'
citation:
ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-031-14175-1
apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C.
(Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education.
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1
bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education.
Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.'
ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer
International Publishing, 2023.'
mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics
Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1.
short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
Practice-Oriented Research in Tertiary Mathematics Education, Springer International
Publishing, Cham, 2023.
date_created: 2023-01-18T22:17:58Z
date_updated: 2023-01-18T22:47:41Z
department:
- _id: '10'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Chris
full_name: Rasmussen, Chris
last_name: Rasmussen
- first_name: Carl
full_name: Winsløw, Carl
last_name: Winsløw
place: Cham
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '30933'
year: '2023'
...
---
_id: '36294'
author:
- first_name: Dominik
full_name: Brennecken, Dominik
id: '55911'
last_name: Brennecken
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric
series. Transaction of the American Mathematical Society. doi:10.1090/tran/8860
apa: Brennecken, D., & Rösler, M. (n.d.). The Dunkl-Laplace transform and Macdonald’s
hypergeometric series. Transaction of the American Mathematical Society.
https://doi.org/10.1090/tran/8860
bibtex: '@article{Brennecken_Rösler, title={The Dunkl-Laplace transform and Macdonald’s
hypergeometric series}, DOI={10.1090/tran/8860},
journal={Transaction of the American Mathematical Society}, publisher={ American
Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit} }'
chicago: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and
Macdonald’s Hypergeometric Series.” Transaction of the American Mathematical
Society, n.d. https://doi.org/10.1090/tran/8860.
ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s
hypergeometric series,” Transaction of the American Mathematical Society,
doi: 10.1090/tran/8860.'
mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s
Hypergeometric Series.” Transaction of the American Mathematical Society, American
Mathematical Society, doi:10.1090/tran/8860.
short: D. Brennecken, M. Rösler, Transaction of the American Mathematical Society
(n.d.).
date_created: 2023-01-12T08:32:44Z
date_updated: 2023-01-24T22:14:22Z
department:
- _id: '555'
doi: 10.1090/tran/8860
language:
- iso: eng
publication: Transaction of the American Mathematical Society
publication_status: inpress
publisher: ' American Mathematical Society'
status: public
title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series
type: journal_article
user_id: '37390'
year: '2023'
...
---
_id: '34814'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus.
Canadian Journal of Mathematics. 2023;75(1):170-201. doi:10.4153/s0008414x21000596
apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus. Canadian Journal of Mathematics, 75(1), 170–201. https://doi.org/10.4153/s0008414x21000596
bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s
differential calculus}, volume={75}, DOI={10.4153/s0008414x21000596},
number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }'
chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s
Differential Calculus.” Canadian Journal of Mathematics 75, no. 1 (2023):
170–201. https://doi.org/10.4153/s0008414x21000596.'
ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential
calculus,” Canadian Journal of Mathematics, vol. 75, no. 1, pp. 170–201,
2023, doi: 10.4153/s0008414x21000596.'
mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential
Calculus.” Canadian Journal of Mathematics, vol. 75, no. 1, Canadian Mathematical
Society, 2023, pp. 170–201, doi:10.4153/s0008414x21000596.
short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.
date_created: 2022-12-22T09:16:48Z
date_updated: 2023-02-22T11:38:32Z
department:
- _id: '93'
doi: 10.4153/s0008414x21000596
intvolume: ' 75'
issue: '1'
keyword:
- extension of differentiable maps
language:
- iso: eng
page: 170-201
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Canadian Journal of Mathematics
publication_identifier:
issn:
- 0008-414X
- 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus
type: journal_article
user_id: '30905'
volume: 75
year: '2023'
...
---
_id: '27426'
abstract:
- lang: eng
text: "Regularization is used in many different areas of optimization when solutions\r\nare
sought which not only minimize a given function, but also possess a certain\r\ndegree
of regularity. Popular applications are image denoising, sparse\r\nregression
and machine learning. Since the choice of the regularization\r\nparameter is crucial
but often difficult, path-following methods are used to\r\napproximate the entire
regularization path, i.e., the set of all possible\r\nsolutions for all regularization
parameters. Due to their nature, the\r\ndevelopment of these methods requires
structural results about the\r\nregularization path. The goal of this article
is to derive these results for\r\nthe case of a smooth objective function which
is penalized by a piecewise\r\ndifferentiable regularization term. We do this
by treating regularization as a\r\nmultiobjective optimization problem. Our results
suggest that even in this\r\ngeneral case, the regularization path is piecewise
smooth. Moreover, our theory\r\nallows for a classification of the nonsmooth features
that occur in between\r\nsmooth parts. This is demonstrated in two applications,
namely support-vector\r\nmachines and exact penalty methods."
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Gebken B, Bieker K, Peitz S. On the structure of regularization paths for piecewise
differentiable regularization terms. Journal of Global Optimization. 2023;85(3):709-741.
doi:10.1007/s10898-022-01223-2
apa: Gebken, B., Bieker, K., & Peitz, S. (2023). On the structure of regularization
paths for piecewise differentiable regularization terms. Journal of Global
Optimization, 85(3), 709–741. https://doi.org/10.1007/s10898-022-01223-2
bibtex: '@article{Gebken_Bieker_Peitz_2023, title={On the structure of regularization
paths for piecewise differentiable regularization terms}, volume={85}, DOI={10.1007/s10898-022-01223-2},
number={3}, journal={Journal of Global Optimization}, author={Gebken, Bennet and
Bieker, Katharina and Peitz, Sebastian}, year={2023}, pages={709–741} }'
chicago: 'Gebken, Bennet, Katharina Bieker, and Sebastian Peitz. “On the Structure
of Regularization Paths for Piecewise Differentiable Regularization Terms.” Journal
of Global Optimization 85, no. 3 (2023): 709–41. https://doi.org/10.1007/s10898-022-01223-2.'
ieee: 'B. Gebken, K. Bieker, and S. Peitz, “On the structure of regularization paths
for piecewise differentiable regularization terms,” Journal of Global Optimization,
vol. 85, no. 3, pp. 709–741, 2023, doi: 10.1007/s10898-022-01223-2.'
mla: Gebken, Bennet, et al. “On the Structure of Regularization Paths for Piecewise
Differentiable Regularization Terms.” Journal of Global Optimization, vol.
85, no. 3, 2023, pp. 709–41, doi:10.1007/s10898-022-01223-2.
short: B. Gebken, K. Bieker, S. Peitz, Journal of Global Optimization 85 (2023)
709–741.
date_created: 2021-11-15T09:24:59Z
date_updated: 2023-03-11T17:16:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10898-022-01223-2
intvolume: ' 85'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s10898-022-01223-2.pdf
oa: '1'
page: 709-741
publication: Journal of Global Optimization
status: public
title: On the structure of regularization paths for piecewise differentiable regularization
terms
type: journal_article
user_id: '47427'
volume: 85
year: '2023'
...
---
_id: '31849'
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Hoffmann M, Biehler R. Student Teachers ’ Knowledge of Congruence before a
University Course on Geometry. In: Trigueros M, Barquero B, Hochmuth R, Peters
J, eds. Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022).
University of Hannover and INDRUM.; 2023.'
apa: Hoffmann, M., & Biehler, R. (2023). Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry. In M. Trigueros, B. Barquero, R. Hochmuth,
& J. Peters (Eds.), Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022). University of Hannover and INDRUM.
bibtex: '@inproceedings{Hoffmann_Biehler_2023, place={Hannover}, title={Student
Teachers ’ Knowledge of Congruence before a University Course on Geometry}, booktitle={Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022)}, publisher={University
of Hannover and INDRUM.}, author={Hoffmann, Max and Biehler, Rolf}, editor={Trigueros,
Marı́a and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023}
}'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” In Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard
Hochmuth, and Jana Peters. Hannover: University of Hannover and INDRUM., 2023.'
ieee: M. Hoffmann and R. Biehler, “Student Teachers ’ Knowledge of Congruence before
a University Course on Geometry,” in Proceedings of the Fourth Conference of
the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), 2023.
mla: Hoffmann, Max, and Rolf Biehler. “Student Teachers ’ Knowledge of Congruence
before a University Course on Geometry.” Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022), edited by Marı́a Trigueros et al., University of
Hannover and INDRUM., 2023.
short: 'M. Hoffmann, R. Biehler, in: M. Trigueros, B. Barquero, R. Hochmuth, J.
Peters (Eds.), Proceedings of the Fourth Conference of the International Network
for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022),
University of Hannover and INDRUM., Hannover, 2023.'
date_created: 2022-06-12T11:07:34Z
date_updated: 2023-03-25T10:11:35Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:01:03Z
date_updated: 2023-03-25T10:01:03Z
file_id: '43096'
file_name: HoffmannBiehler2022_indrum_congruence.pdf
file_size: 201942
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:01:03Z
has_accepted_license: '1'
keyword:
- Teaching and learning of specific topics in university mathematics
- Transition to
- across and from university mathematics
- Student Teachers
- Geometry
- Congruence
- Double Discontinuity.
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
publication_status: published
publisher: University of Hannover and INDRUM.
quality_controlled: '1'
status: public
title: Student Teachers ’ Knowledge of Congruence before a University Course on Geometry
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43097'
author:
- first_name: Ignasio
full_name: Florensa, Ignasio
last_name: Florensa
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Avenilde
full_name: Romo Vázquez, Avenilde
last_name: Romo Vázquez
- first_name: Michelle
full_name: Zandieh, Michelle
last_name: Zandieh
- first_name: Rafael
full_name: Martínez-Planell, Rafael
last_name: Martínez-Planell
citation:
ama: 'Florensa I, Hoffmann M, Romo Vázquez A, Zandieh M, Martínez-Planell R. Innovations
in university teaching based on mathematic education research. In: Trigueros M,
Barquero B, Hochmuth R, Peters J, eds. Proceedings of the Fourth Conference
of the International Network for Didactic Research in University Mathematics (INDRUM
2022, 19-22 October 2022). ; 2023.'
apa: Florensa, I., Hoffmann, M., Romo Vázquez, A., Zandieh, M., & Martínez-Planell,
R. (2023). Innovations in university teaching based on mathematic education research.
In M. Trigueros, B. Barquero, R. Hochmuth, & J. Peters (Eds.), Proceedings
of the Fourth Conference of the International Network for Didactic Research in
University Mathematics (INDRUM 2022, 19-22 October 2022).
bibtex: '@inproceedings{Florensa_Hoffmann_Romo Vázquez_Zandieh_Martínez-Planell_2023,
place={Hannover}, title={Innovations in university teaching based on mathematic
education research}, booktitle={Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022)}, author={Florensa, Ignasio and Hoffmann, Max and Romo Vázquez, Avenilde
and Zandieh, Michelle and Martínez-Planell, Rafael}, editor={Trigueros, Marı́a
and Barquero, Berta and Hochmuth, Reinhard and Peters, Jana}, year={2023} }'
chicago: Florensa, Ignasio, Max Hoffmann, Avenilde Romo Vázquez, Michelle Zandieh,
and Rafael Martínez-Planell. “Innovations in University Teaching Based on Mathematic
Education Research.” In Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros, Berta Barquero, Reinhard Hochmuth, and
Jana Peters. Hannover, 2023.
ieee: I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, and R. Martínez-Planell,
“Innovations in university teaching based on mathematic education research,” in
Proceedings of the Fourth Conference of the International Network for Didactic
Research in University Mathematics (INDRUM 2022, 19-22 October 2022), 2023.
mla: Florensa, Ignasio, et al. “Innovations in University Teaching Based on Mathematic
Education Research.” Proceedings of the Fourth Conference of the International
Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October
2022), edited by Marı́a Trigueros et al., 2023.
short: 'I. Florensa, M. Hoffmann, A. Romo Vázquez, M. Zandieh, R. Martínez-Planell,
in: M. Trigueros, B. Barquero, R. Hochmuth, J. Peters (Eds.), Proceedings of the
Fourth Conference of the International Network for Didactic Research in University
Mathematics (INDRUM 2022, 19-22 October 2022), Hannover, 2023.'
date_created: 2023-03-25T10:09:06Z
date_updated: 2023-03-25T10:10:58Z
ddc:
- '370'
- '510'
department:
- _id: '97'
editor:
- first_name: Marı́a
full_name: Trigueros, Marı́a
last_name: Trigueros
- first_name: Berta
full_name: Barquero, Berta
last_name: Barquero
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Jana
full_name: Peters, Jana
last_name: Peters
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-03-25T10:07:54Z
date_updated: 2023-03-25T10:07:54Z
file_id: '43098'
file_name: 2022_FlorensaEtAl_indrum_panelInnovations.pdf
file_size: 642388
relation: main_file
success: 1
file_date_updated: 2023-03-25T10:07:54Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.univ-reims.fr/INDRUM2022/
oa: '1'
place: Hannover
publication: Proceedings of the Fourth Conference of the International Network for
Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022)
quality_controlled: '1'
status: public
title: Innovations in university teaching based on mathematic education research
type: conference
user_id: '32202'
year: '2023'
...
---
_id: '43504'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: A.
full_name: Schmitz, A.
last_name: Schmitz
citation:
ama: Biehler R, Liebendörfer M, Schmitz A. Lernvideos und ihre Erstellung - Das
Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für Didaktik der Mathematik.
2023;114:8-12.
apa: Biehler, R., Liebendörfer, M., & Schmitz, A. (2023). Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos. Mitteilungen der Gesellschaft für
Didaktik der Mathematik, 114, 8–12.
bibtex: '@article{Biehler_Liebendörfer_Schmitz_2023, title={Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos}, volume={114}, journal={Mitteilungen
der Gesellschaft für Didaktik der Mathematik}, author={Biehler, Rolf and Liebendörfer,
Michael and Schmitz, A.}, year={2023}, pages={8–12} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, and A. Schmitz. “Lernvideos und ihre
Erstellung - Das Projekt studiVEMINTvideos.” Mitteilungen der Gesellschaft
für Didaktik der Mathematik 114 (2023): 8–12.'
ieee: R. Biehler, M. Liebendörfer, and A. Schmitz, “Lernvideos und ihre Erstellung
- Das Projekt studiVEMINTvideos,” Mitteilungen der Gesellschaft für Didaktik
der Mathematik, vol. 114, pp. 8–12, 2023.
mla: Biehler, Rolf, et al. “Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos.”
Mitteilungen der Gesellschaft für Didaktik der Mathematik, vol. 114, 2023,
pp. 8–12.
short: R. Biehler, M. Liebendörfer, A. Schmitz, Mitteilungen der Gesellschaft für
Didaktik der Mathematik 114 (2023) 8–12.
date_created: 2023-04-14T09:25:18Z
date_updated: 2023-04-14T09:25:27Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
intvolume: ' 114'
language:
- iso: ger
page: 8-12
publication: Mitteilungen der Gesellschaft für Didaktik der Mathematik
status: public
title: Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos
type: journal_article
user_id: '37888'
volume: 114
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Mario
full_name: Fuest, Mario
last_name: Fuest
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Masaaki
full_name: Mizukami, Masaaki
last_name: Mizukami
citation:
ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
systems with spatially heterogeneous logistic source. Nonlinear Analysis: Real
World Applications. 2023;73. doi:10.1016/j.nonrwa.2023.103868'
apa: 'Black, T., Fuest, M., Lankeit, J., & Mizukami, M. (2023). Possible points
of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
Nonlinear Analysis: Real World Applications, 73, Article 103868.
https://doi.org/10.1016/j.nonrwa.2023.103868'
bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
DOI={10.1016/j.nonrwa.2023.103868},
number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
Masaaki}, year={2023} }'
chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
Source.” Nonlinear Analysis: Real World Applications 73 (2023). https://doi.org/10.1016/j.nonrwa.2023.103868.'
ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
in chemotaxis systems with spatially heterogeneous logistic source,” Nonlinear
Analysis: Real World Applications, vol. 73, Art. no. 103868, 2023, doi: 10.1016/j.nonrwa.2023.103868.'
mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
Spatially Heterogeneous Logistic Source.” Nonlinear Analysis: Real World Applications,
vol. 73, 103868, Elsevier BV, 2023, doi:10.1016/j.nonrwa.2023.103868.'
short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: ' 73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
issn:
- 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
---
_id: '43227'
author:
- first_name: Vivian
full_name: Vitt, Vivian
last_name: Vitt
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Vitt V, Häsel-Weide U. Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen. In: Mathematica Didactica, 46.
; 2023. doi:https://doi.org/10.18716/ojs/md/2023.1671'
apa: Vitt, V., & Häsel-Weide, U. (2023). Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. In Mathematica
Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1671
bibtex: '@inbook{Vitt_Häsel-Weide_2023, title={Reziprokes Peer-Tutoring zur Förderung
von Schüler*innen mit Schwierigkeiten beim Mathematiklernen.}, DOI={https://doi.org/10.18716/ojs/md/2023.1671},
booktitle={Mathematica Didactica, 46}, author={Vitt, Vivian and Häsel-Weide, Uta},
year={2023} }'
chicago: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” In Mathematica
Didactica, 46, 2023. https://doi.org/10.18716/ojs/md/2023.1671.
ieee: V. Vitt and U. Häsel-Weide, “Reziprokes Peer-Tutoring zur Förderung von Schüler*innen
mit Schwierigkeiten beim Mathematiklernen.,” in Mathematica Didactica, 46,
2023.
mla: Vitt, Vivian, and Uta Häsel-Weide. “Reziprokes Peer-Tutoring Zur Förderung
von Schüler*innen Mit Schwierigkeiten Beim Mathematiklernen.” Mathematica Didactica,
46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1671.
short: 'V. Vitt, U. Häsel-Weide, in: Mathematica Didactica, 46, 2023.'
date_created: 2023-03-30T10:06:24Z
date_updated: 2023-03-30T10:06:53Z
department:
- _id: '543'
doi: https://doi.org/10.18716/ojs/md/2023.1671
language:
- iso: eng
publication: Mathematica Didactica, 46
status: public
title: Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten
beim Mathematiklernen.
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '43226'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht. In: Mathematica Didactica, 46. ; 2023.
doi:https://doi.org/10.18716/ojs/md/2023.1670'
apa: Häsel-Weide, U., & Nührenbörger, M. (2023). Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht. In Mathematica Didactica, 46. https://doi.org/10.18716/ojs/md/2023.1670
bibtex: '@inbook{Häsel-Weide_Nührenbörger_2023, title={Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht.}, DOI={https://doi.org/10.18716/ojs/md/2023.1670},
booktitle={Mathematica Didactica, 46}, author={Häsel-Weide, Uta and Nührenbörger,
M.}, year={2023} }'
chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter
Förderung Im Mathematikunterricht.” In Mathematica Didactica, 46, 2023.
https://doi.org/10.18716/ojs/md/2023.1670.
ieee: U. Häsel-Weide and M. Nührenbörger, “Inklusive Praktiken unterrichtsintegrierter
Förderung im Mathematikunterricht.,” in Mathematica Didactica, 46, 2023.
mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inklusive Praktiken Unterrichtsintegrierter
Förderung Im Mathematikunterricht.” Mathematica Didactica, 46, 2023, doi:https://doi.org/10.18716/ojs/md/2023.1670.
short: 'U. Häsel-Weide, M. Nührenbörger, in: Mathematica Didactica, 46, 2023.'
date_created: 2023-03-30T10:04:31Z
date_updated: 2023-03-30T10:06:49Z
department:
- _id: '543'
doi: https://doi.org/10.18716/ojs/md/2023.1670
language:
- iso: eng
publication: Mathematica Didactica, 46
status: public
title: Inklusive Praktiken unterrichtsintegrierter Förderung im Mathematikunterricht.
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '34832'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. The Lax Equation and Weak Regularity of Asymptotic Estimate Lie
Groups. Annals of Global Analysis and Geometry. 2023;63(21). doi:10.1007/s10455-023-09888-y
apa: Hanusch, M. (2023). The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups. Annals of Global Analysis and Geometry, 63(21). https://doi.org/10.1007/s10455-023-09888-y
bibtex: '@article{Hanusch_2023, title={The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups}, volume={63}, DOI={10.1007/s10455-023-09888-y},
number={21}, journal={Annals of Global Analysis and Geometry}, author={Hanusch,
Maximilian}, year={2023} }'
chicago: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic
Estimate Lie Groups.” Annals of Global Analysis and Geometry 63, no. 21
(2023). https://doi.org/10.1007/s10455-023-09888-y.
ieee: 'M. Hanusch, “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups,” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi: 10.1007/s10455-023-09888-y.'
mla: Hanusch, Maximilian. “The Lax Equation and Weak Regularity of Asymptotic Estimate
Lie Groups.” Annals of Global Analysis and Geometry, vol. 63, no. 21, 2023,
doi:10.1007/s10455-023-09888-y.
short: M. Hanusch, Annals of Global Analysis and Geometry 63 (2023).
date_created: 2022-12-22T09:45:34Z
date_updated: 2023-04-05T18:18:24Z
department:
- _id: '93'
doi: 10.1007/s10455-023-09888-y
intvolume: ' 63'
issue: '21'
keyword:
- Lax equation
- generalized Baker-Campbell-Dynkin-Hausdorff formula
- regularity of Lie groups
language:
- iso: eng
project:
- _id: '161'
name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Annals of Global Analysis and Geometry
publication_status: published
status: public
title: The Lax Equation and Weak Regularity of Asymptotic Estimate Lie Groups
type: journal_article
user_id: '30905'
volume: 63
year: '2023'
...
---
_id: '44501'
abstract:
- lang: eng
text: "Extending the notion of maxcut, the study of the frustration index of signed
graphs is one of the basic questions in the theory of signed graphs. Recently
two of the authors initiated the study of critically frustrated signed graphs.
That is a signed graph whose frustration index decreases with the removal of any
edge. The main focus of this study is on critical signed graphs which are not
edge-disjoint unions of critically frustrated signed graphs (namely non-decomposable
signed graphs) and which are not built from other critically frustrated signed
graphs by subdivision. We conjecture that for any given k there are only finitely
many critically k-frustrated signed graphs of this kind.\r\nProviding support
for this conjecture we show that there are only two of such critically 3-frustrated
signed graphs where there is no pair of edge-disjoint negative cycles. Similarly,
we show that there are exactly ten critically 3-frustrated signed planar graphs
that are neither decomposable nor subdivisions of other critically frustrated
signed graphs. We present a method for building non-decomposable critically frustrated
signed graphs based on two given such signed graphs. We also show that the condition
of being non-decomposable is necessary for our conjecture. "
author:
- first_name: Chiara
full_name: Cappello, Chiara
id: '72874'
last_name: Cappello
- first_name: Reza
full_name: Naserasr, Reza
last_name: Naserasr
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Zhouningxin
full_name: Wang, Zhouningxin
last_name: Wang
citation:
ama: Cappello C, Naserasr R, Steffen E, Wang Z. Critically 3-frustrated signed graphs.
arXiv:230410243. Published online 2023.
apa: Cappello, C., Naserasr, R., Steffen, E., & Wang, Z. (2023). Critically
3-frustrated signed graphs. In arXiv:2304.10243.
bibtex: '@article{Cappello_Naserasr_Steffen_Wang_2023, title={Critically 3-frustrated
signed graphs}, journal={arXiv:2304.10243}, author={Cappello, Chiara and Naserasr,
Reza and Steffen, Eckhard and Wang, Zhouningxin}, year={2023} }'
chicago: Cappello, Chiara, Reza Naserasr, Eckhard Steffen, and Zhouningxin Wang.
“Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243, 2023.
ieee: C. Cappello, R. Naserasr, E. Steffen, and Z. Wang, “Critically 3-frustrated
signed graphs,” arXiv:2304.10243. 2023.
mla: Cappello, Chiara, et al. “Critically 3-Frustrated Signed Graphs.” ArXiv:2304.10243,
2023.
short: C. Cappello, R. Naserasr, E. Steffen, Z. Wang, ArXiv:2304.10243 (2023).
date_created: 2023-05-05T06:52:39Z
date_updated: 2023-05-05T06:53:47Z
department:
- _id: '542'
external_id:
arxiv:
- '2304.10243'
language:
- iso: eng
publication: arXiv:2304.10243
status: public
title: Critically 3-frustrated signed graphs
type: preprint
user_id: '15540'
year: '2023'
...
---
_id: '44857'
abstract:
- lang: eng
text: Ancestral reconstruction is a classic task in comparative genomics. Here,
we study the genome median problem, a related computational problem which, given
a set of three or more genomes, asks to find a new genome that minimizes the sum
of pairwise distances between it and the given genomes. The distance stands for
the amount of evolution observed at the genome level, for which we determine the
minimum number of rearrangement operations necessary to transform one genome into
the other. For almost all rearrangement operations the median problem is NP-hard,
with the exception of the breakpoint median that can be constructed efficiently
for multichromosomal circular and mixed genomes. In this work, we study the median
problem under a restricted rearrangement measure called c4-distance, which is
closely related to the breakpoint and the DCJ distance. We identify tight bounds
and decomposers of the c4-median and develop algorithms for its construction,
one exact ILP-based and three combinatorial heuristics. Subsequently, we perform
experiments on simulated data sets. Our results suggest that the c4-distance is
useful for the study the genome median problem, from theoretical and practical
perspectives.
author:
- first_name: Helmuth O.M.
full_name: Silva, Helmuth O.M.
last_name: Silva
- first_name: Diego P.
full_name: Rubert, Diego P.
last_name: Rubert
- first_name: Eloi
full_name: Araujo, Eloi
last_name: Araujo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Daniel
full_name: Doerr, Daniel
last_name: Doerr
- first_name: Fábio V.
full_name: Martinez, Fábio V.
last_name: Martinez
citation:
ama: Silva HOM, Rubert DP, Araujo E, Steffen E, Doerr D, Martinez FV. Algorithms
for the genome median under a restricted measure of rearrangement. RAIRO -
Operations Research. 2023;57(3):1045-1058. doi:10.1051/ro/2023052
apa: Silva, H. O. M., Rubert, D. P., Araujo, E., Steffen, E., Doerr, D., & Martinez,
F. V. (2023). Algorithms for the genome median under a restricted measure of rearrangement.
RAIRO - Operations Research, 57(3), 1045–1058. https://doi.org/10.1051/ro/2023052
bibtex: '@article{Silva_Rubert_Araujo_Steffen_Doerr_Martinez_2023, title={Algorithms
for the genome median under a restricted measure of rearrangement}, volume={57},
DOI={10.1051/ro/2023052}, number={3},
journal={RAIRO - Operations Research}, publisher={EDP Sciences}, author={Silva,
Helmuth O.M. and Rubert, Diego P. and Araujo, Eloi and Steffen, Eckhard and Doerr,
Daniel and Martinez, Fábio V.}, year={2023}, pages={1045–1058} }'
chicago: 'Silva, Helmuth O.M., Diego P. Rubert, Eloi Araujo, Eckhard Steffen, Daniel
Doerr, and Fábio V. Martinez. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research 57, no. 3 (2023):
1045–58. https://doi.org/10.1051/ro/2023052.'
ieee: 'H. O. M. Silva, D. P. Rubert, E. Araujo, E. Steffen, D. Doerr, and F. V.
Martinez, “Algorithms for the genome median under a restricted measure of rearrangement,”
RAIRO - Operations Research, vol. 57, no. 3, pp. 1045–1058, 2023, doi:
10.1051/ro/2023052.'
mla: Silva, Helmuth O. M., et al. “Algorithms for the Genome Median under a Restricted
Measure of Rearrangement.” RAIRO - Operations Research, vol. 57, no. 3,
EDP Sciences, 2023, pp. 1045–58, doi:10.1051/ro/2023052.
short: H.O.M. Silva, D.P. Rubert, E. Araujo, E. Steffen, D. Doerr, F.V. Martinez,
RAIRO - Operations Research 57 (2023) 1045–1058.
date_created: 2023-05-16T08:48:22Z
date_updated: 2023-05-16T08:49:30Z
department:
- _id: '542'
doi: 10.1051/ro/2023052
intvolume: ' 57'
issue: '3'
keyword:
- Management Science and Operations Research
- Computer Science Applications
- Theoretical Computer Science
language:
- iso: eng
page: 1045-1058
publication: RAIRO - Operations Research
publication_identifier:
issn:
- 0399-0559
- 2804-7303
publication_status: published
publisher: EDP Sciences
status: public
title: Algorithms for the genome median under a restricted measure of rearrangement
type: journal_article
user_id: '15540'
volume: 57
year: '2023'
...
---
_id: '44859'
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-graphs that color all r-graphs.
arXiv:230508619. Published online 2023.
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Sets of r-graphs
that color all r-graphs. In arXiv:2305.08619.
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Sets of r-graphs that color
all r-graphs}, journal={arXiv:2305.08619}, author={Ma, Yulai and Mattiolo, Davide
and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619, 2023.
ieee: Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-graphs that color
all r-graphs,” arXiv:2305.08619. 2023.
mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” ArXiv:2305.08619,
2023.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, ArXiv:2305.08619 (2023).
date_created: 2023-05-16T10:07:47Z
date_updated: 2023-05-16T11:17:26Z
department:
- _id: '542'
external_id:
arxiv:
- '2305.08619'
language:
- iso: eng
publication: arXiv:2305.08619
status: public
title: Sets of r-graphs that color all r-graphs
type: preprint
user_id: '15540'
year: '2023'
...
---
_id: '34833'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Decompositions of Analytic 1-Manifolds. Indagationes Mathematicae.
2023;34(4):752-811. doi:10.1016/j.indag.2023.02.003
apa: Hanusch, M. (2023). Decompositions of Analytic 1-Manifolds. Indagationes
Mathematicae., 34(4), 752–811. https://doi.org/10.1016/j.indag.2023.02.003
bibtex: '@article{Hanusch_2023, title={Decompositions of Analytic 1-Manifolds},
volume={34}, DOI={10.1016/j.indag.2023.02.003},
number={4}, journal={Indagationes Mathematicae.}, author={Hanusch, Maximilian},
year={2023}, pages={752–811} }'
chicago: 'Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae. 34, no. 4 (2023): 752–811. https://doi.org/10.1016/j.indag.2023.02.003.'
ieee: 'M. Hanusch, “Decompositions of Analytic 1-Manifolds,” Indagationes Mathematicae.,
vol. 34, no. 4, pp. 752–811, 2023, doi: 10.1016/j.indag.2023.02.003.'
mla: Hanusch, Maximilian. “Decompositions of Analytic 1-Manifolds.” Indagationes
Mathematicae., vol. 34, no. 4, 2023, pp. 752–811, doi:10.1016/j.indag.2023.02.003.
short: M. Hanusch, Indagationes Mathematicae. 34 (2023) 752–811.
date_created: 2022-12-22T09:46:36Z
date_updated: 2023-05-25T07:32:38Z
department:
- _id: '93'
doi: 10.1016/j.indag.2023.02.003
intvolume: ' 34'
issue: '4'
keyword:
- Lie group actions and analytic 1-submanifolds
language:
- iso: eng
page: 752-811
publication: Indagationes Mathematicae.
publication_status: published
status: public
title: Decompositions of Analytic 1-Manifolds
type: journal_article
user_id: '30905'
volume: 34
year: '2023'
...
---
_id: '45498'
abstract:
- lang: eng
text: "We present a novel method for high-order phase reduction in networks of\r\nweakly
coupled oscillators and, more generally, perturbations of reducible\r\nnormally
hyperbolic (quasi-)periodic tori. Our method works by computing an\r\nasymptotic
expansion for an embedding of the perturbed invariant torus, as well\r\nas for
the reduced phase dynamics in local coordinates. Both can be determined\r\nto
arbitrary degrees of accuracy, and we show that the phase dynamics may\r\ndirectly
be obtained in normal form. We apply the method to predict remote\r\nsynchronisation
in a chain of coupled Stuart-Landau oscillators."
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. A parametrisation method for high-order
phase reduction in coupled oscillator networks. arXiv:230603320.
apa: von der Gracht, S., Nijholt, E., & Rink, B. (n.d.). A parametrisation method
for high-order phase reduction in coupled oscillator networks. In arXiv:2306.03320.
bibtex: '@article{von der Gracht_Nijholt_Rink, title={A parametrisation method for
high-order phase reduction in coupled oscillator networks}, journal={arXiv:2306.03320},
author={von der Gracht, Sören and Nijholt, Eddie and Rink, Bob} }'
chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “A Parametrisation
Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320,
n.d.
ieee: S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for
high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320.
.
mla: von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase
Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
date_created: 2023-06-07T07:57:28Z
date_updated: 2023-06-07T07:59:06Z
department:
- _id: '101'
external_id:
arxiv:
- '2306.03320'
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/pdf/2306.03320
page: '29'
publication: arXiv:2306.03320
publication_status: submitted
status: public
title: A parametrisation method for high-order phase reduction in coupled oscillator
networks
type: preprint
user_id: '97359'
year: '2023'
...
---
_id: '45712'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Häsel-Weide U. Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift.
2023;(339):6-11.
apa: Häsel-Weide, U. (2023). Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen. Die Grundschulzeitschrift,
339, 6–11.
bibtex: '@article{Häsel-Weide_2023, title={ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen}, number={339}, journal={Die
Grundschulzeitschrift}, publisher={Friedrich Verlag}, author={Häsel-Weide, Uta},
year={2023}, pages={6–11} }'
chicago: 'Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen
in Vielfalt von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339 (2023): 6–11.'
ieee: U. Häsel-Weide, “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen,” Die Grundschulzeitschrift,
no. 339, pp. 6–11, 2023.
mla: Häsel-Weide, Uta. “ Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt
von Kompetenzen, Wegen und Lernsituationen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 6–11.
short: U. Häsel-Weide, Die Grundschulzeitschrift (2023) 6–11.
date_created: 2023-06-22T09:28:22Z
date_updated: 2023-06-22T09:34:13Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 6-11
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: ' Inklusiver Mathematikunterricht. Mathematiklernen in Vielfalt von Kompetenzen,
Wegen und Lernsituationen'
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '45713'
author:
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: Inga
full_name: Wienhues, Inga
id: '61635'
last_name: Wienhues
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: Graf LM, Wienhues I, Häsel-Weide U. Addition und Subtraktion verstehen. Die
Grundschulzeitschrift. 2023;(339):20-23.
apa: Graf, L. M., Wienhues, I., & Häsel-Weide, U. (2023). Addition und Subtraktion
verstehen. Die Grundschulzeitschrift, 339, 20–23.
bibtex: '@article{Graf_Wienhues_Häsel-Weide_2023, title={Addition und Subtraktion
verstehen}, number={339}, journal={Die Grundschulzeitschrift}, publisher={Friedrich
Verlag}, author={Graf, Lara Marie and Wienhues, Inga and Häsel-Weide, Uta}, year={2023},
pages={20–23} }'
chicago: 'Graf, Lara Marie, Inga Wienhues, and Uta Häsel-Weide. “Addition und Subtraktion
verstehen.” Die Grundschulzeitschrift, no. 339 (2023): 20–23.'
ieee: L. M. Graf, I. Wienhues, and U. Häsel-Weide, “Addition und Subtraktion verstehen,”
Die Grundschulzeitschrift, no. 339, pp. 20–23, 2023.
mla: Graf, Lara Marie, et al. “Addition und Subtraktion verstehen.” Die Grundschulzeitschrift,
no. 339, Friedrich Verlag, 2023, pp. 20–23.
short: L.M. Graf, I. Wienhues, U. Häsel-Weide, Die Grundschulzeitschrift (2023)
20–23.
date_created: 2023-06-22T09:33:59Z
date_updated: 2023-06-22T09:34:18Z
department:
- _id: '543'
issue: '339'
language:
- iso: ger
page: 20-23
publication: Die Grundschulzeitschrift
publisher: Friedrich Verlag
related_material:
link:
- relation: other
url: https://www.friedrich-verlag.de/grundschule/die-grundschulzeitschrift/mathematikunterricht-inklusiv-5991
status: public
title: Addition und Subtraktion verstehen
type: journal_article
user_id: '44184'
year: '2023'
...
---
_id: '45786'
abstract:
- lang: eng
text: Intending to counteract Klein’s second discontinuity in teacher education,
we explored and applied the innovation of “interface ePortfolio” in the context
of a geometry course for preservice teachers (PSTs). The tool offers the possibility
of implementing the design principle of profession orientation. In the article,
we theoretically clarify what we understand by this principle and locate our innovative
concept against this theoretical background. We empirically investigate the extent
to which counteraction against the second discontinuity is successful by analyzing
reflection texts created in the interface ePortfolio, focusing on PSTs’ perspectives.
Our qualitative content analysis shows that most of them perceive the innovation
as helpful in the intended sense and indicates that the course concept, in general,
and the interface ePortfolio, in particular, have helped establish relevant links
between the course content and their later work as teachers.
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: Hoffmann M, Biehler R. Implementing profession orientation as a design principle
for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
on interface activities in the context of a geometry course. ZDM – Mathematics
Education. Published online 2023. doi:10.1007/s11858-023-01505-3
apa: Hoffmann, M., & Biehler, R. (2023). Implementing profession orientation
as a design principle for overcoming Klein’s second discontinuity – preservice
teacher’s perspectives on interface activities in the context of a geometry course.
ZDM – Mathematics Education. https://doi.org/10.1007/s11858-023-01505-3
bibtex: '@article{Hoffmann_Biehler_2023, title={Implementing profession orientation
as a design principle for overcoming Klein’s second discontinuity – preservice
teacher’s perspectives on interface activities in the context of a geometry course},
DOI={10.1007/s11858-023-01505-3},
journal={ZDM – Mathematics Education}, publisher={Springer}, author={Hoffmann,
Max and Biehler, Rolf}, year={2023} }'
chicago: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as
a Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM
– Mathematics Education, 2023. https://doi.org/10.1007/s11858-023-01505-3.
ieee: 'M. Hoffmann and R. Biehler, “Implementing profession orientation as a design
principle for overcoming Klein’s second discontinuity – preservice teacher’s perspectives
on interface activities in the context of a geometry course,” ZDM – Mathematics
Education, 2023, doi: 10.1007/s11858-023-01505-3.'
mla: Hoffmann, Max, and Rolf Biehler. “Implementing Profession Orientation as a
Design Principle for Overcoming Klein’s Second Discontinuity – Preservice Teacher’s
Perspectives on Interface Activities in the Context of a Geometry Course.” ZDM
– Mathematics Education, Springer, 2023, doi:10.1007/s11858-023-01505-3.
short: M. Hoffmann, R. Biehler, ZDM – Mathematics Education (2023).
date_created: 2023-06-27T11:45:25Z
date_updated: 2023-07-13T09:41:20Z
ddc:
- '510'
- '370'
department:
- _id: '97'
- _id: '643'
doi: 10.1007/s11858-023-01505-3
file:
- access_level: closed
content_type: application/pdf
creator: maxh
date_created: 2023-07-13T09:40:02Z
date_updated: 2023-07-13T09:40:02Z
file_id: '46041'
file_name: s11858-023-01505-3.pdf
file_size: 1460246
relation: main_file
success: 1
file_date_updated: 2023-07-13T09:40:02Z
has_accepted_license: '1'
keyword:
- General Mathematics
- Education
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-023-01505-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Implementing profession orientation as a design principle for overcoming Klein’s
second discontinuity – preservice teacher’s perspectives on interface activities
in the context of a geometry course
type: journal_article
user_id: '32202'
year: '2023'
...
---
_id: '46100'
article_number: '127558'
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Daan W.
full_name: Janssen, Daan W.
last_name: Janssen
- first_name: Jobst
full_name: Ziebell, Jobst
last_name: Ziebell
citation:
ama: 'Hinrichs B, Janssen DW, Ziebell J. Super-Gaussian decay of exponentials: A
sufficient condition. Journal of Mathematical Analysis and Applications.
2023;528(1). doi:10.1016/j.jmaa.2023.127558'
apa: 'Hinrichs, B., Janssen, D. W., & Ziebell, J. (2023). Super-Gaussian decay
of exponentials: A sufficient condition. Journal of Mathematical Analysis and
Applications, 528(1), Article 127558. https://doi.org/10.1016/j.jmaa.2023.127558'
bibtex: '@article{Hinrichs_Janssen_Ziebell_2023, title={Super-Gaussian decay of
exponentials: A sufficient condition}, volume={528}, DOI={10.1016/j.jmaa.2023.127558},
number={1127558}, journal={Journal of Mathematical Analysis and Applications},
publisher={Elsevier BV}, author={Hinrichs, Benjamin and Janssen, Daan W. and Ziebell,
Jobst}, year={2023} }'
chicago: 'Hinrichs, Benjamin, Daan W. Janssen, and Jobst Ziebell. “Super-Gaussian
Decay of Exponentials: A Sufficient Condition.” Journal of Mathematical Analysis
and Applications 528, no. 1 (2023). https://doi.org/10.1016/j.jmaa.2023.127558.'
ieee: 'B. Hinrichs, D. W. Janssen, and J. Ziebell, “Super-Gaussian decay of exponentials:
A sufficient condition,” Journal of Mathematical Analysis and Applications,
vol. 528, no. 1, Art. no. 127558, 2023, doi: 10.1016/j.jmaa.2023.127558.'
mla: 'Hinrichs, Benjamin, et al. “Super-Gaussian Decay of Exponentials: A Sufficient
Condition.” Journal of Mathematical Analysis and Applications, vol. 528,
no. 1, 127558, Elsevier BV, 2023, doi:10.1016/j.jmaa.2023.127558.'
short: B. Hinrichs, D.W. Janssen, J. Ziebell, Journal of Mathematical Analysis and
Applications 528 (2023).
date_created: 2023-07-20T05:08:49Z
date_updated: 2023-07-20T05:11:12Z
department:
- _id: '799'
doi: 10.1016/j.jmaa.2023.127558
external_id:
arxiv:
- '2205.09189'
intvolume: ' 528'
issue: '1'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Journal of Mathematical Analysis and Applications
publication_identifier:
issn:
- 0022-247X
publication_status: published
publisher: Elsevier BV
status: public
title: 'Super-Gaussian decay of exponentials: A sufficient condition'
type: journal_article
user_id: '99427'
volume: 528
year: '2023'
...
---
_id: '46117'
abstract:
- lang: eng
text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact
type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We
show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic
growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain
that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."
author:
- first_name: Tobias
full_name: Weich, Tobias
last_name: Weich
- first_name: Lasse L.
full_name: Wolf, Lasse L.
last_name: Wolf
citation:
ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case.
arXiv:230409573. Published online 2023.'
apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces:
The product case. In arXiv:2304.09573.'
bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces:
The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf,
Lasse L.}, year={2023} }'
chicago: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces:
The Product Case.” ArXiv:2304.09573, 2023.'
ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product
case,” arXiv:2304.09573. 2023.'
mla: 'Weich, Tobias, and Lasse L. Wolf. “Temperedness of Locally Symmetric Spaces:
The Product Case.” ArXiv:2304.09573, 2023.'
short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
date_created: 2023-07-24T07:52:23Z
date_updated: 2023-07-24T07:53:29Z
department:
- _id: '10'
external_id:
arxiv:
- '2304.09573'
language:
- iso: eng
publication: arXiv:2304.09573
status: public
title: 'Temperedness of locally symmetric spaces: The product case'
type: preprint
user_id: '45027'
year: '2023'
...
---
_id: '46155'
article_number: '104270'
author:
- first_name: Julia
full_name: Bruns, Julia
last_name: Bruns
- first_name: Maike
full_name: Hagena, Maike
last_name: Hagena
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
citation:
ama: 'Bruns J, Hagena M, Gasteiger H. Professional Development Enacted by Facilitators
in the Context of Early Mathematics Education: Scaling up or Dilution of Effects?
Teaching and Teacher Education. 2023;132. doi:10.1016/j.tate.2023.104270'
apa: 'Bruns, J., Hagena, M., & Gasteiger, H. (2023). Professional Development
Enacted by Facilitators in the Context of Early Mathematics Education: Scaling
up or Dilution of Effects? Teaching and Teacher Education, 132,
Article 104270. https://doi.org/10.1016/j.tate.2023.104270'
bibtex: '@article{Bruns_Hagena_Gasteiger_2023, title={Professional Development Enacted
by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution
of Effects?}, volume={132}, DOI={10.1016/j.tate.2023.104270},
number={104270}, journal={Teaching and Teacher Education}, publisher={Elsevier
BV}, author={Bruns, Julia and Hagena, Maike and Gasteiger, Hedwig}, year={2023}
}'
chicago: 'Bruns, Julia, Maike Hagena, and Hedwig Gasteiger. “Professional Development
Enacted by Facilitators in the Context of Early Mathematics Education: Scaling
up or Dilution of Effects?” Teaching and Teacher Education 132 (2023).
https://doi.org/10.1016/j.tate.2023.104270.'
ieee: 'J. Bruns, M. Hagena, and H. Gasteiger, “Professional Development Enacted
by Facilitators in the Context of Early Mathematics Education: Scaling up or Dilution
of Effects?,” Teaching and Teacher Education, vol. 132, Art. no. 104270,
2023, doi: 10.1016/j.tate.2023.104270.'
mla: 'Bruns, Julia, et al. “Professional Development Enacted by Facilitators in
the Context of Early Mathematics Education: Scaling up or Dilution of Effects?”
Teaching and Teacher Education, vol. 132, 104270, Elsevier BV, 2023, doi:10.1016/j.tate.2023.104270.'
short: J. Bruns, M. Hagena, H. Gasteiger, Teaching and Teacher Education 132 (2023).
date_created: 2023-07-26T08:55:26Z
date_updated: 2023-07-26T08:57:01Z
department:
- _id: '611'
doi: 10.1016/j.tate.2023.104270
intvolume: ' 132'
keyword:
- Education
language:
- iso: eng
publication: Teaching and Teacher Education
publication_identifier:
issn:
- 0742-051X
publication_status: published
publisher: Elsevier BV
status: public
title: 'Professional Development Enacted by Facilitators in the Context of Early Mathematics
Education: Scaling up or Dilution of Effects?'
type: journal_article
user_id: '72183'
volume: 132
year: '2023'
...
---
_id: '46157'
citation:
ama: Biehler R, Liebendörfer M, Gueudet G, Rasmussen C, Winsløw C, eds. Practice-Oriented
Research in Tertiary Mathematics Education. Springer International Publishing;
2023. doi:10.1007/978-3-031-14175-1
apa: Biehler, R., Liebendörfer, M., Gueudet, G., Rasmussen, C., & Winsløw, C.
(Eds.). (2023). Practice-Oriented Research in Tertiary Mathematics Education.
Springer International Publishing. https://doi.org/10.1007/978-3-031-14175-1
bibtex: '@book{Biehler_Liebendörfer_Gueudet_Rasmussen_Winsløw_2023, place={Cham},
title={Practice-Oriented Research in Tertiary Mathematics Education}, DOI={10.1007/978-3-031-14175-1},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Ghislaine Gueudet, Chris Rasmussen,
and Carl Winsløw, eds. Practice-Oriented Research in Tertiary Mathematics Education.
Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-14175-1.'
ieee: 'R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, and C. Winsløw, Eds.,
Practice-Oriented Research in Tertiary Mathematics Education. Cham: Springer
International Publishing, 2023.'
mla: Biehler, Rolf, et al., editors. Practice-Oriented Research in Tertiary Mathematics
Education. Springer International Publishing, 2023, doi:10.1007/978-3-031-14175-1.
short: R. Biehler, M. Liebendörfer, G. Gueudet, C. Rasmussen, C. Winsløw, eds.,
Practice-Oriented Research in Tertiary Mathematics Education, Springer International
Publishing, Cham, 2023.
date_created: 2023-07-26T10:16:08Z
date_updated: 2023-07-26T10:17:43Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.1007/978-3-031-14175-1
editor:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Chris
full_name: Rasmussen, Chris
last_name: Rasmussen
- first_name: Carl
full_name: Winsløw, Carl
last_name: Winsløw
language:
- iso: eng
place: Cham
publication_identifier:
isbn:
- '9783031141744'
- '9783031141751'
issn:
- 1869-4918
- 1869-4926
publication_status: published
publisher: Springer International Publishing
status: public
title: Practice-Oriented Research in Tertiary Mathematics Education
type: book_editor
user_id: '37888'
year: '2023'
...
---
_id: '46256'
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Pairwise Disjoint Perfect Matchings in
r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete Mathematics.
2023;37(3):1548-1565. doi:10.1137/22m1500654
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2023). Pairwise Disjoint
Perfect Matchings in r-Edge-Connected r-Regular Graphs. SIAM Journal on Discrete
Mathematics, 37(3), 1548–1565. https://doi.org/10.1137/22m1500654
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2023, title={Pairwise Disjoint Perfect
Matchings in r-Edge-Connected r-Regular Graphs}, volume={37}, DOI={10.1137/22m1500654},
number={3}, journal={SIAM Journal on Discrete Mathematics}, publisher={Society
for Industrial & Applied Mathematics (SIAM)}, author={Ma, Yulai and Mattiolo,
Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={1548–1565}
}'
chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Pairwise Disjoint Perfect Matchings in R-Edge-Connected r-Regular Graphs.” SIAM
Journal on Discrete Mathematics 37, no. 3 (2023): 1548–65. https://doi.org/10.1137/22m1500654.'
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Pairwise Disjoint Perfect
Matchings in r-Edge-Connected r-Regular Graphs,” SIAM Journal on Discrete Mathematics,
vol. 37, no. 3, pp. 1548–1565, 2023, doi: 10.1137/22m1500654.'
mla: Ma, Yulai, et al. “Pairwise Disjoint Perfect Matchings in R-Edge-Connected
r-Regular Graphs.” SIAM Journal on Discrete Mathematics, vol. 37, no. 3,
Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 1548–65, doi:10.1137/22m1500654.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, SIAM Journal on Discrete Mathematics
37 (2023) 1548–1565.
date_created: 2023-08-01T10:08:32Z
date_updated: 2023-08-01T10:09:35Z
department:
- _id: '542'
doi: 10.1137/22m1500654
intvolume: ' 37'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
page: 1548-1565
publication: SIAM Journal on Discrete Mathematics
publication_identifier:
issn:
- 0895-4801
- 1095-7146
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular Graphs
type: journal_article
user_id: '15540'
volume: 37
year: '2023'
...
---
_id: '42163'
abstract:
- lang: eng
text: 'The article shows how to learn models of dynamical systems from data which
are governed by an unknown variational PDE. Rather than employing reduction techniques,
we learn a discrete field theory governed by a discrete Lagrangian density $L_d$
that is modelled as a neural network. Careful regularisation of the loss function
for training $L_d$ is necessary to obtain a field theory that is suitable for
numerical computations: we derive a regularisation term which optimises the solvability
of the discrete Euler--Lagrange equations. Secondly, we develop a method to find
solutions to machine learned discrete field theories which constitute travelling
waves of the underlying continuous PDE.'
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Ober-Blöbaum S. Learning discrete Lagrangians for variational PDEs
from data and detection of travelling waves. In: Nielsen F, Barbaresco F, eds.
Geometric Science of Information. Vol 14071. Lecture Notes in Computer
Science (LNCS). Springer, Cham.; 2023:569-579. doi:10.1007/978-3-031-38271-0_57'
apa: Offen, C., & Ober-Blöbaum, S. (2023). Learning discrete Lagrangians for
variational PDEs from data and detection of travelling waves. In F. Nielsen &
F. Barbaresco (Eds.), Geometric Science of Information (Vol. 14071, pp.
569–579). Springer, Cham. https://doi.org/10.1007/978-3-031-38271-0_57
bibtex: '@inproceedings{Offen_Ober-Blöbaum_2023, series={Lecture Notes in Computer
Science (LNCS)}, title={Learning discrete Lagrangians for variational PDEs from
data and detection of travelling waves}, volume={14071}, DOI={10.1007/978-3-031-38271-0_57},
booktitle={Geometric Science of Information}, publisher={Springer, Cham.}, author={Offen,
Christian and Ober-Blöbaum, Sina}, editor={Nielsen, F and Barbaresco, F}, year={2023},
pages={569–579}, collection={Lecture Notes in Computer Science (LNCS)} }'
chicago: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians
for Variational PDEs from Data and Detection of Travelling Waves.” In Geometric
Science of Information, edited by F Nielsen and F Barbaresco, 14071:569–79.
Lecture Notes in Computer Science (LNCS). Springer, Cham., 2023. https://doi.org/10.1007/978-3-031-38271-0_57.
ieee: 'C. Offen and S. Ober-Blöbaum, “Learning discrete Lagrangians for variational
PDEs from data and detection of travelling waves,” in Geometric Science of
Information, Saint-Malo, Palais du Grand Large, France, 2023, vol. 14071,
pp. 569–579, doi: 10.1007/978-3-031-38271-0_57.'
mla: Offen, Christian, and Sina Ober-Blöbaum. “Learning Discrete Lagrangians for
Variational PDEs from Data and Detection of Travelling Waves.” Geometric Science
of Information, edited by F Nielsen and F Barbaresco, vol. 14071, Springer,
Cham., 2023, pp. 569–79, doi:10.1007/978-3-031-38271-0_57.
short: 'C. Offen, S. Ober-Blöbaum, in: F. Nielsen, F. Barbaresco (Eds.), Geometric
Science of Information, Springer, Cham., 2023, pp. 569–579.'
conference:
end_date: 2023-09-01
location: Saint-Malo, Palais du Grand Large, France
name: ' GSI''23 6th International Conference on Geometric Science of Information'
start_date: 2023-08-30
date_created: 2023-02-16T11:32:48Z
date_updated: 2023-08-10T08:34:04Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1007/978-3-031-38271-0_57
editor:
- first_name: F
full_name: Nielsen, F
last_name: Nielsen
- first_name: F
full_name: Barbaresco, F
last_name: Barbaresco
external_id:
arxiv:
- '2302.08232 '
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2023-08-02T12:04:17Z
date_updated: 2023-08-02T12:04:17Z
description: |-
The article shows how to learn models of dynamical systems
from data which are governed by an unknown variational PDE. Rather
than employing reduction techniques, we learn a discrete field theory
governed by a discrete Lagrangian density Ld that is modelled as a neural network. Careful regularisation of the loss function for training Ld is
necessary to obtain a field theory that is suitable for numerical computations: we derive a regularisation term which optimises the solvability of
the discrete Euler–Lagrange equations. Secondly, we develop a method to
find solutions to machine learned discrete field theories which constitute
travelling waves of the underlying continuous PDE.
file_id: '46273'
file_name: LDensityLearning.pdf
file_size: 1938962
relation: main_file
title: Learning discrete Lagrangians for variational PDEs from data and detection
of travelling waves
file_date_updated: 2023-08-02T12:04:17Z
has_accepted_license: '1'
intvolume: ' 14071'
keyword:
- System identification
- discrete Lagrangians
- travelling waves
language:
- iso: eng
oa: '1'
page: 569-579
publication: Geometric Science of Information
publication_identifier:
eisbn:
- 978-3-031-38271-0
publication_status: published
publisher: Springer, Cham.
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/LagrangianDensityML
series_title: Lecture Notes in Computer Science (LNCS)
status: public
title: Learning discrete Lagrangians for variational PDEs from data and detection
of travelling waves
type: conference
user_id: '85279'
volume: 14071
year: '2023'
...
---
_id: '29240'
abstract:
- lang: eng
text: "The principle of least action is one of the most fundamental physical principle.
It says that among all possible motions connecting two points in a phase space,
the system will exhibit those motions which extremise an action functional. Many
qualitative features of dynamical systems, such as the presence of conservation
laws and energy balance equations, are related to the existence of an action functional.
Incorporating variational structure into learning algorithms for dynamical systems
is, therefore, crucial in order to make sure that the learned model shares important
features with the exact physical system. In this paper we show how to incorporate
variational principles into trajectory predictions of learned dynamical systems.
The novelty of this work is that (1) our technique relies only on discrete position
data of observed trajectories. Velocities or conjugate momenta do not need to
be observed or approximated and no prior knowledge about the form of the variational
principle is assumed. Instead, they are recovered using backward error analysis.
(2) Moreover, our technique compensates discretisation errors when trajectories
are computed from the learned system. This is important when moderate to large
step-sizes are used and high accuracy is required. For this,\r\nwe introduce and
rigorously analyse the concept of inverse modified Lagrangians by developing an
inverse version of variational backward error analysis. (3) Finally, we introduce
a method to perform system identification from position observations only, based
on variational backward error analysis."
article_type: original
author:
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: Ober-Blöbaum S, Offen C. Variational Learning of Euler–Lagrange Dynamics from
Data. Journal of Computational and Applied Mathematics. 2023;421:114780.
doi:10.1016/j.cam.2022.114780
apa: Ober-Blöbaum, S., & Offen, C. (2023). Variational Learning of Euler–Lagrange
Dynamics from Data. Journal of Computational and Applied Mathematics, 421,
114780. https://doi.org/10.1016/j.cam.2022.114780
bibtex: '@article{Ober-Blöbaum_Offen_2023, title={Variational Learning of Euler–Lagrange
Dynamics from Data}, volume={421}, DOI={10.1016/j.cam.2022.114780},
journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier},
author={Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={114780}
}'
chicago: 'Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange
Dynamics from Data.” Journal of Computational and Applied Mathematics 421
(2023): 114780. https://doi.org/10.1016/j.cam.2022.114780.'
ieee: 'S. Ober-Blöbaum and C. Offen, “Variational Learning of Euler–Lagrange Dynamics
from Data,” Journal of Computational and Applied Mathematics, vol. 421,
p. 114780, 2023, doi: 10.1016/j.cam.2022.114780.'
mla: Ober-Blöbaum, Sina, and Christian Offen. “Variational Learning of Euler–Lagrange
Dynamics from Data.” Journal of Computational and Applied Mathematics,
vol. 421, Elsevier, 2023, p. 114780, doi:10.1016/j.cam.2022.114780.
short: S. Ober-Blöbaum, C. Offen, Journal of Computational and Applied Mathematics
421 (2023) 114780.
date_created: 2022-01-11T13:24:00Z
date_updated: 2023-08-10T08:42:39Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1016/j.cam.2022.114780
external_id:
arxiv:
- '2112.12619'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2022-06-28T15:25:50Z
date_updated: 2022-06-28T15:25:50Z
description: |-
The principle of least action is one of the most fundamental physical principle. It says that among all possible motions
connecting two points in a phase space, the system will exhibit those motions which extremise an action functional.
Many qualitative features of dynamical systems, such as the presence of conservation laws and energy balance equa-
tions, are related to the existence of an action functional. Incorporating variational structure into learning algorithms
for dynamical systems is, therefore, crucial in order to make sure that the learned model shares important features
with the exact physical system. In this paper we show how to incorporate variational principles into trajectory predic-
tions of learned dynamical systems. The novelty of this work is that (1) our technique relies only on discrete position
data of observed trajectories. Velocities or conjugate momenta do not need to be observed or approximated and no
prior knowledge about the form of the variational principle is assumed. Instead, they are recovered using backward
error analysis. (2) Moreover, our technique compensates discretisation errors when trajectories are computed from the
learned system. This is important when moderate to large step-sizes are used and high accuracy is required. For this,
we introduce and rigorously analyse the concept of inverse modified Lagrangians by developing an inverse version of
variational backward error analysis. (3) Finally, we introduce a method to perform system identification from position
observations only, based on variational backward error analysis.
file_id: '32274'
file_name: ShadowLagrangian_revision1_journal_style_arxiv.pdf
file_size: 3640770
relation: main_file
title: Variational Learning of Euler–Lagrange Dynamics from Data
file_date_updated: 2022-06-28T15:25:50Z
has_accepted_license: '1'
intvolume: ' 421'
keyword:
- Lagrangian learning
- variational backward error analysis
- modified Lagrangian
- variational integrators
- physics informed learning
language:
- iso: eng
oa: '1'
page: '114780'
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: epub_ahead
publisher: Elsevier
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/Christian-Offen/LagrangianShadowIntegration
status: public
title: Variational Learning of Euler–Lagrange Dynamics from Data
type: journal_article
user_id: '85279'
volume: 421
year: '2023'
...
---
_id: '29236'
abstract:
- lang: eng
text: The numerical solution of an ordinary differential equation can be interpreted
as the exact solution of a nearby modified equation. Investigating the behaviour
of numerical solutions by analysing the modified equation is known as backward
error analysis. If the original and modified equation share structural properties,
then the exact and approximate solution share geometric features such as the existence
of conserved quantities. Conjugate symplectic methods preserve a modified symplectic
form and a modified Hamiltonian when applied to a Hamiltonian system. We show
how a blended version of variational and symplectic techniques can be used to
compute modified symplectic and Hamiltonian structures. In contrast to other approaches,
our backward error analysis method does not rely on an ansatz but computes the
structures systematically, provided that a variational formulation of the method
is known. The technique is illustrated on the example of symmetric linear multistep
methods with matrix coefficients.
article_type: original
author:
- first_name: Robert
full_name: McLachlan, Robert
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: McLachlan R, Offen C. Backward error analysis for conjugate symplectic methods.
Journal of Geometric Mechanics. 2023;15(1):98-115. doi:10.3934/jgm.2023005
apa: McLachlan, R., & Offen, C. (2023). Backward error analysis for conjugate
symplectic methods. Journal of Geometric Mechanics, 15(1), 98–115.
https://doi.org/10.3934/jgm.2023005
bibtex: '@article{McLachlan_Offen_2023, title={Backward error analysis for conjugate
symplectic methods}, volume={15}, DOI={10.3934/jgm.2023005},
number={1}, journal={Journal of Geometric Mechanics}, publisher={AIMS Press},
author={McLachlan, Robert and Offen, Christian}, year={2023}, pages={98–115} }'
chicago: 'McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate
Symplectic Methods.” Journal of Geometric Mechanics 15, no. 1 (2023): 98–115.
https://doi.org/10.3934/jgm.2023005.'
ieee: 'R. McLachlan and C. Offen, “Backward error analysis for conjugate symplectic
methods,” Journal of Geometric Mechanics, vol. 15, no. 1, pp. 98–115, 2023,
doi: 10.3934/jgm.2023005.'
mla: McLachlan, Robert, and Christian Offen. “Backward Error Analysis for Conjugate
Symplectic Methods.” Journal of Geometric Mechanics, vol. 15, no. 1, AIMS
Press, 2023, pp. 98–115, doi:10.3934/jgm.2023005.
short: R. McLachlan, C. Offen, Journal of Geometric Mechanics 15 (2023) 98–115.
date_created: 2022-01-11T12:48:39Z
date_updated: 2023-08-10T08:40:30Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jgm.2023005
external_id:
arxiv:
- '2201.03911'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2022-08-12T16:48:59Z
date_updated: 2022-08-12T16:48:59Z
description: The numerical solution of an ordinary differential equation can be
interpreted as the exact solution of a nearby modified equation. Investigating
the behaviour of numerical solutions by analysing the modified equation is known
as backward error analysis. If the original and modified equation share structural
properties, then the exact and approximate solution share geometric features such
as the existence of conserved quantities. Conjugate symplectic methods preserve
a modified symplectic form and a modified Hamiltonian when applied to a Hamiltonian
system. We show how a blended version of variational and symplectic techniques
can be used to compute modified symplectic and Hamiltonian structures. In contrast
to other approaches, our backward error analysis method does not rely on an ansatz
but computes the structures systematically, provided that a variational formulation
of the method is known. The technique is illustrated on the example of symmetric
linear multistep methods with matrix coefficients.
file_id: '32801'
file_name: BEA_MultiStep_Matrix.pdf
file_size: 827030
relation: main_file
title: Backward error analysis for conjugate symplectic methods
file_date_updated: 2022-08-12T16:48:59Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '1'
keyword:
- variational integrators
- backward error analysis
- Euler--Lagrange equations
- multistep methods
- conjugate symplectic methods
language:
- iso: eng
oa: '1'
page: 98-115
publication: Journal of Geometric Mechanics
publication_status: published
publisher: AIMS Press
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/Christian-Offen/BEAConjugateSymplectic
status: public
title: Backward error analysis for conjugate symplectic methods
type: journal_article
user_id: '85279'
volume: 15
year: '2023'
...
---
_id: '37654'
abstract:
- lang: eng
text: "Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate
prior physical knowledge when\r\nlearning the dynamical equations of Hamiltonian
systems. Hereby, the symplectic system structure is preserved despite\r\nthe data-driven
modeling approach. However, preserving symmetries requires additional attention.
In this research, we\r\nenhance the HNN with a Lie algebra framework to detect
and embed symmetries in the neural network. This approach\r\nallows to simultaneously
learn the symmetry group action and the total energy of the system. As illustrating
examples,\r\na pendulum on a cart and a two-body problem from astrodynamics are
considered."
article_number: '063115'
article_type: original
author:
- first_name: Eva
full_name: Dierkes, Eva
last_name: Dierkes
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Kathrin
full_name: Flaßkamp, Kathrin
last_name: Flaßkamp
citation:
ama: Dierkes E, Offen C, Ober-Blöbaum S, Flaßkamp K. Hamiltonian Neural Networks
with Automatic Symmetry Detection. Chaos. 2023;33(6). doi:10.1063/5.0142969
apa: Dierkes, E., Offen, C., Ober-Blöbaum, S., & Flaßkamp, K. (2023). Hamiltonian
Neural Networks with Automatic Symmetry Detection. Chaos, 33(6),
Article 063115. https://doi.org/10.1063/5.0142969
bibtex: '@article{Dierkes_Offen_Ober-Blöbaum_Flaßkamp_2023, title={Hamiltonian Neural
Networks with Automatic Symmetry Detection}, volume={33}, DOI={10.1063/5.0142969},
number={6063115}, journal={Chaos}, publisher={AIP Publishing}, author={Dierkes,
Eva and Offen, Christian and Ober-Blöbaum, Sina and Flaßkamp, Kathrin}, year={2023}
}'
chicago: Dierkes, Eva, Christian Offen, Sina Ober-Blöbaum, and Kathrin Flaßkamp.
“Hamiltonian Neural Networks with Automatic Symmetry Detection.” Chaos
33, no. 6 (2023). https://doi.org/10.1063/5.0142969.
ieee: 'E. Dierkes, C. Offen, S. Ober-Blöbaum, and K. Flaßkamp, “Hamiltonian Neural
Networks with Automatic Symmetry Detection,” Chaos, vol. 33, no. 6, Art.
no. 063115, 2023, doi: 10.1063/5.0142969.'
mla: Dierkes, Eva, et al. “Hamiltonian Neural Networks with Automatic Symmetry Detection.”
Chaos, vol. 33, no. 6, 063115, AIP Publishing, 2023, doi:10.1063/5.0142969.
short: E. Dierkes, C. Offen, S. Ober-Blöbaum, K. Flaßkamp, Chaos 33 (2023).
date_created: 2023-01-20T09:10:06Z
date_updated: 2023-08-10T08:37:01Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0142969
external_id:
arxiv:
- '2301.07928'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2023-04-26T16:20:56Z
date_updated: 2023-04-26T16:20:56Z
description: |-
Incorporating physical system knowledge into data-driven
system identification has been shown to be beneficial. The
approach presented in this article combines learning of an
energy-conserving model from data with detecting a Lie
group representation of the unknown system symmetry.
The proposed approach can improve the learned model
and reveal underlying symmetry simultaneously.
file_id: '44205'
file_name: JournalPaper_main.pdf
file_size: 5200111
relation: main_file
title: Hamiltonian Neural Networks with Automatic Symmetry Detection
file_date_updated: 2023-04-26T16:20:56Z
has_accepted_license: '1'
intvolume: ' 33'
issue: '6'
language:
- iso: eng
oa: '1'
publication: Chaos
publication_identifier:
issn:
- 1054-1500
publication_status: published
publisher: AIP Publishing
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/eva-dierkes/HNN_withSymmetries
status: public
title: Hamiltonian Neural Networks with Automatic Symmetry Detection
type: journal_article
user_id: '85279'
volume: 33
year: '2023'
...
---
_id: '23428'
abstract:
- lang: eng
text: "The Koopman operator has become an essential tool for data-driven approximation
of dynamical (control) systems in recent years, e.g., via extended dynamic mode
decomposition. Despite its popularity, convergence results and, in particular,
error bounds are still quite scarce. In this paper, we derive probabilistic bounds
for the approximation error and the prediction error depending on the number of
training data points; for both ordinary and stochastic differential equations.
Moreover, we extend our analysis to nonlinear control-affine systems using either
ergodic trajectories or i.i.d.\r\nsamples. Here, we exploit the linearity of the
Koopman generator to obtain a bilinear system and, thus, circumvent the curse
of dimensionality since we do not autonomize the system by augmenting the state
by the control inputs. To the\r\nbest of our knowledge, this is the first finite-data
error analysis in the stochastic and/or control setting. Finally, we demonstrate
the effectiveness of the proposed approach by comparing it with state-of-the-art
techniques showing its superiority whenever state and control are coupled."
article_number: '14'
author:
- first_name: Feliks
full_name: Nüske, Feliks
id: '81513'
last_name: Nüske
orcid: 0000-0003-2444-7889
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Friedrich
full_name: Philipp, Friedrich
last_name: Philipp
- first_name: Manuel
full_name: Schaller, Manuel
last_name: Schaller
- first_name: Karl
full_name: Worthmann, Karl
last_name: Worthmann
citation:
ama: Nüske F, Peitz S, Philipp F, Schaller M, Worthmann K. Finite-data error bounds
for Koopman-based prediction and control. Journal of Nonlinear Science.
2023;33. doi:10.1007/s00332-022-09862-1
apa: Nüske, F., Peitz, S., Philipp, F., Schaller, M., & Worthmann, K. (2023).
Finite-data error bounds for Koopman-based prediction and control. Journal
of Nonlinear Science, 33, Article 14. https://doi.org/10.1007/s00332-022-09862-1
bibtex: '@article{Nüske_Peitz_Philipp_Schaller_Worthmann_2023, title={Finite-data
error bounds for Koopman-based prediction and control}, volume={33}, DOI={10.1007/s00332-022-09862-1},
number={14}, journal={Journal of Nonlinear Science}, author={Nüske, Feliks and
Peitz, Sebastian and Philipp, Friedrich and Schaller, Manuel and Worthmann, Karl},
year={2023} }'
chicago: Nüske, Feliks, Sebastian Peitz, Friedrich Philipp, Manuel Schaller, and
Karl Worthmann. “Finite-Data Error Bounds for Koopman-Based Prediction and Control.”
Journal of Nonlinear Science 33 (2023). https://doi.org/10.1007/s00332-022-09862-1.
ieee: 'F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data
error bounds for Koopman-based prediction and control,” Journal of Nonlinear
Science, vol. 33, Art. no. 14, 2023, doi: 10.1007/s00332-022-09862-1.'
mla: Nüske, Feliks, et al. “Finite-Data Error Bounds for Koopman-Based Prediction
and Control.” Journal of Nonlinear Science, vol. 33, 14, 2023, doi:10.1007/s00332-022-09862-1.
short: F. Nüske, S. Peitz, F. Philipp, M. Schaller, K. Worthmann, Journal of Nonlinear
Science 33 (2023).
date_created: 2021-08-17T12:25:09Z
date_updated: 2023-08-24T07:50:12Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s00332-022-09862-1
intvolume: ' 33'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s00332-022-09862-1.pdf
oa: '1'
publication: Journal of Nonlinear Science
publication_status: published
status: public
title: Finite-data error bounds for Koopman-based prediction and control
type: journal_article
user_id: '47427'
volume: 33
year: '2023'
...
---
_id: '21600'
abstract:
- lang: eng
text: Many problems in science and engineering require an efficient numerical approximation
of integrals or solutions to differential equations. For systems with rapidly
changing dynamics, an equidistant discretization is often inadvisable as it results
in prohibitively large errors or computational effort. To this end, adaptive schemes,
such as solvers based on Runge–Kutta pairs, have been developed which adapt the
step size based on local error estimations at each step. While the classical schemes
apply very generally and are highly efficient on regular systems, they can behave
suboptimally when an inefficient step rejection mechanism is triggered by structurally
complex systems such as chaotic systems. To overcome these issues, we propose
a method to tailor numerical schemes to the problem class at hand. This is achieved
by combining simple, classical quadrature rules or ODE solvers with data-driven
time-stepping controllers. Compared with learning solution operators to ODEs directly,
it generalizes better to unseen initial data as our approach employs classical
numerical schemes as base methods. At the same time it can make use of identified
structures of a problem class and, therefore, outperforms state-of-the-art adaptive
schemes. Several examples demonstrate superior efficiency. Source code is available
at https://github.com/lueckem/quadrature-ML.
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Eyke
full_name: Hüllermeier, Eyke
id: '48129'
last_name: Hüllermeier
- first_name: Marvin
full_name: Lücke, Marvin
last_name: Lücke
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Karlson
full_name: Pfannschmidt, Karlson
id: '13472'
last_name: Pfannschmidt
orcid: 0000-0001-9407-7903
citation:
ama: Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical
integration using reinforcement learning. SIAM Journal on Scientific Computing.
2023;45(2):A579-A595. doi:10.1137/21M1412682
apa: Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz,
S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration
using reinforcement learning. SIAM Journal on Scientific Computing, 45(2),
A579–A595. https://doi.org/10.1137/21M1412682
bibtex: '@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023,
title={Efficient time stepping for numerical integration using reinforcement
learning}, volume={45}, DOI={10.1137/21M1412682},
number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz,
Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen,
Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595}
}'
chicago: 'Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum,
Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping
for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific
Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.'
ieee: 'M. Dellnitz et al., “Efficient time stepping for numerical integration
using reinforcement learning,” SIAM Journal on Scientific Computing, vol.
45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682.'
mla: Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration
Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol.
45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.
short: M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz,
K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.
date_created: 2021-04-09T07:59:19Z
date_updated: 2023-08-25T09:24:50Z
ddc:
- '510'
department:
- _id: '101'
- _id: '636'
- _id: '355'
- _id: '655'
doi: 10.1137/21M1412682
external_id:
arxiv:
- arXiv:2104.03562
has_accepted_license: '1'
intvolume: ' 45'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://epubs.siam.org/doi/reader/10.1137/21M1412682
page: A579-A595
publication: SIAM Journal on Scientific Computing
publication_status: published
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/lueckem/quadrature-ML
status: public
title: Efficient time stepping for numerical integration using reinforcement learning
type: journal_article
user_id: '47427'
volume: 45
year: '2023'
...
---
_id: '46757'
author:
- first_name: Imke
full_name: Schwerin, Imke
id: '48912'
last_name: Schwerin
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Schwerin I, Häsel-Weide U. Second grader´s understanding of doubling and halfing
in various representations. In: Novotna J, Moraova H, eds. International Symposium
in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education. Charles University; 2023:297-305.'
apa: 'Schwerin, I., & Häsel-Weide, U. (2023). Second grader´s understanding
of doubling and halfing in various representations. In J. Novotna & H. Moraova
(Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings:
New Directions in Elementary Mathematics Education (pp. 297–305). Charles
University.'
bibtex: '@inproceedings{Schwerin_Häsel-Weide_2023, title={Second grader´s understanding
of doubling and halfing in various representations}, booktitle={International
Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education}, publisher={Charles University}, author={Schwerin, Imke
and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={297–305}
}'
chicago: 'Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of
Doubling and Halfing in Various Representations.” In International Symposium
in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education, edited by J. Novotna and H. Moraova, 297–305. Charles
University, 2023.'
ieee: 'I. Schwerin and U. Häsel-Weide, “Second grader´s understanding of doubling
and halfing in various representations,” in International Symposium in Elementary
Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education,
Prag, 2023, pp. 297–305.'
mla: 'Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling
and Halfing in Various Representations.” International Symposium in Elementary
Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education,
edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 297–305.'
short: 'I. Schwerin, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International
Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education, Charles University, 2023, pp. 297–305.'
conference:
location: Prag
name: International Symposium in Elementary Mathematics Teaching
date_created: 2023-08-30T09:40:23Z
date_updated: 2023-08-30T09:55:41Z
department:
- _id: '543'
editor:
- first_name: J.
full_name: Novotna, J.
last_name: Novotna
- first_name: H.
full_name: Moraova, H.
last_name: Moraova
language:
- iso: eng
page: 297-305
publication: 'International Symposium in Elementary Mathematics Teaching. Proceedings:
New Directions in Elementary Mathematics Education'
publisher: Charles University
status: public
title: Second grader´s understanding of doubling and halfing in various representations
type: conference
user_id: '44184'
year: '2023'
...
---
_id: '46758'
author:
- first_name: Rebekka
full_name: Schmidt, Rebekka
id: '58565'
last_name: Schmidt
- first_name: Claudia
full_name: Tenberge, Claudia
id: '67302'
last_name: Tenberge
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Schmidt R, Tenberge C, Häsel-Weide U. Lehre in Zeiten von Digitalisierung
und Inklusion - Beispiele aus drei Fächern. In: Vöing N, Schmidt R, Neiske I,
eds. Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre.
Visual Ink Publishing; 2023:297-318.'
apa: Schmidt, R., Tenberge, C., & Häsel-Weide, U. (2023). Lehre in Zeiten von
Digitalisierung und Inklusion - Beispiele aus drei Fächern. In N. Vöing, R. Schmidt,
& I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement
in der Hochschullehre (pp. 297–318). Visual Ink Publishing.
bibtex: '@inbook{Schmidt_Tenberge_Häsel-Weide_2023, title={Lehre in Zeiten von Digitalisierung
und Inklusion - Beispiele aus drei Fächern}, booktitle={Aktive Teilhabe fördern
– ICM und Student Engagement in der Hochschullehre}, publisher={Visual Ink Publishing},
author={Schmidt, Rebekka and Tenberge, Claudia and Häsel-Weide, Uta}, editor={Vöing,
N. and Schmidt, R. and Neiske, I.}, year={2023}, pages={297–318} }'
chicago: Schmidt, Rebekka, Claudia Tenberge, and Uta Häsel-Weide. “Lehre in Zeiten
von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” In Aktive
Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited
by N. Vöing, R. Schmidt, and I. Neiske, 297–318. Visual Ink Publishing, 2023.
ieee: R. Schmidt, C. Tenberge, and U. Häsel-Weide, “Lehre in Zeiten von Digitalisierung
und Inklusion - Beispiele aus drei Fächern,” in Aktive Teilhabe fördern – ICM
und Student Engagement in der Hochschullehre, N. Vöing, R. Schmidt, and I.
Neiske, Eds. Visual Ink Publishing, 2023, pp. 297–318.
mla: Schmidt, Rebekka, et al. “Lehre in Zeiten von Digitalisierung und Inklusion
- Beispiele aus drei Fächern.” Aktive Teilhabe fördern – ICM und Student Engagement
in der Hochschullehre, edited by N. Vöing et al., Visual Ink Publishing, 2023,
pp. 297–318.
short: 'R. Schmidt, C. Tenberge, U. Häsel-Weide, in: N. Vöing, R. Schmidt, I. Neiske
(Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre,
Visual Ink Publishing, 2023, pp. 297–318.'
date_created: 2023-08-30T09:54:47Z
date_updated: 2023-08-30T09:55:46Z
department:
- _id: '543'
editor:
- first_name: N.
full_name: Vöing, N.
last_name: Vöing
- first_name: R.
full_name: Schmidt, R.
last_name: Schmidt
- first_name: I.
full_name: Neiske, I.
last_name: Neiske
language:
- iso: ger
page: 297-318
publication: Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre
publisher: Visual Ink Publishing
status: public
title: Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern
type: book_chapter
user_id: '44184'
year: '2023'
...
---
_id: '47416'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Joachim
full_name: Engel, Joachim
last_name: Engel
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
citation:
ama: 'Biehler R, Engel J, Frischemeier D. Stochastik: Leitidee Daten und Zufall.
In: Bruder R, Büchter A, Gasteiger H, Schmidt-Thieme B, Weigand HG, eds. Handbuch
Der Mathematikdidaktik. Springer; 2023. doi:10.1007/978-3-662-66604-3_8'
apa: 'Biehler, R., Engel, J., & Frischemeier, D. (2023). Stochastik: Leitidee
Daten und Zufall. In R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, &
HG. Weigand (Eds.), Handbuch der Mathematikdidaktik. Springer. https://doi.org/10.1007/978-3-662-66604-3_8'
bibtex: '@inbook{Biehler_Engel_Frischemeier_2023, place={Berlin, Heidelberg}, title={Stochastik:
Leitidee Daten und Zufall}, DOI={10.1007/978-3-662-66604-3_8},
booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Biehler,
Rolf and Engel, Joachim and Frischemeier, Daniel}, editor={Bruder, Regina and
Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}, year={2023}
}'
chicago: 'Biehler, Rolf, Joachim Engel, and Daniel Frischemeier. “Stochastik: Leitidee
Daten Und Zufall.” In Handbuch Der Mathematikdidaktik, edited by Regina
Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand. Berlin,
Heidelberg: Springer, 2023. https://doi.org/10.1007/978-3-662-66604-3_8.'
ieee: 'R. Biehler, J. Engel, and D. Frischemeier, “Stochastik: Leitidee Daten und
Zufall,” in Handbuch der Mathematikdidaktik, R. Bruder, A. Büchter, H.
Gasteiger, B. Schmidt-Thieme, and HG. Weigand, Eds. Berlin, Heidelberg: Springer,
2023.'
mla: 'Biehler, Rolf, et al. “Stochastik: Leitidee Daten Und Zufall.” Handbuch
Der Mathematikdidaktik, edited by Regina Bruder et al., Springer, 2023, doi:10.1007/978-3-662-66604-3_8.'
short: 'R. Biehler, J. Engel, D. Frischemeier, in: R. Bruder, A. Büchter, H. Gasteiger,
B. Schmidt-Thieme, HG. Weigand (Eds.), Handbuch Der Mathematikdidaktik, Springer,
Berlin, Heidelberg, 2023.'
date_created: 2023-09-25T11:15:18Z
date_updated: 2023-09-25T11:18:19Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.1007/978-3-662-66604-3_8
editor:
- first_name: Regina
full_name: Bruder, Regina
last_name: Bruder
- first_name: A.
full_name: Büchter, A.
last_name: Büchter
- first_name: H.
full_name: Gasteiger, H.
last_name: Gasteiger
- first_name: B.
full_name: Schmidt-Thieme, B.
last_name: Schmidt-Thieme
- first_name: HG.
full_name: Weigand, HG.
last_name: Weigand
language:
- iso: eng
place: Berlin, Heidelberg
publication: Handbuch der Mathematikdidaktik
publication_identifier:
isbn:
- '9783662666036'
- '9783662666043'
publication_status: published
publisher: Springer
status: public
title: 'Stochastik: Leitidee Daten und Zufall'
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '47534'
abstract:
- lang: eng
text: "In this proceeding we consider a translation invariant Nelson type model
in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith
a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan
be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac
formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors
in a recent preprint (where several matter particles and exterior\r\npotentials
are treated as well). After that, we employ a few technical key\r\nrelations and
estimates obtained in our preprint to present an otherwise\r\nself-contained derivation
of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total
momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative
derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian."
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Matte, Oliver
last_name: Matte
citation:
ama: Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic
Nelson model in two spatial dimensions. arXiv:230909005. Published online
2023.
apa: Hinrichs, B., & Matte, O. (2023). Feynman-Kac formula for fiber Hamiltonians
in the relativistic Nelson model in two spatial dimensions. In arXiv:2309.09005.
bibtex: '@article{Hinrichs_Matte_2023, title={Feynman-Kac formula for fiber Hamiltonians
in the relativistic Nelson model in two spatial dimensions}, journal={arXiv:2309.09005},
author={Hinrichs, Benjamin and Matte, Oliver}, year={2023} }'
chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians
in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005,
2023.
ieee: B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the
relativistic Nelson model in two spatial dimensions,” arXiv:2309.09005.
2023.
mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians
in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005,
2023.
short: B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023).
date_created: 2023-10-02T06:21:37Z
date_updated: 2023-10-02T06:22:55Z
department:
- _id: '799'
- _id: '623'
external_id:
arxiv:
- '2309.09005'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: PhoQC: Photonisches Quantencomputing'
publication: arXiv:2309.09005
status: public
title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model
in two spatial dimensions
type: preprint
user_id: '99427'
year: '2023'
...
---
_id: '48042'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Ronald
full_name: Gould, Ronald
last_name: Gould
- first_name: Maxine
full_name: Pfannkuch, Maxine
last_name: Pfannkuch
citation:
ama: 'Biehler R, Frischemeier D, Gould R, Pfannkuch M. Impacts of Digitalization
on Content and Goals of Statistics Education. In: Pepin B, Gueudet G, Choppin
J, eds. Handbook of Digital Resources in Mathematics Education. Springer
International Publishing; 2023.'
apa: Biehler, R., Frischemeier, D., Gould, R., & Pfannkuch, M. (2023). Impacts
of Digitalization on Content and Goals of Statistics Education. In B. Pepin, G.
Gueudet, & J. Choppin (Eds.), Handbook of Digital Resources in Mathematics
Education. Springer International Publishing.
bibtex: '@inbook{Biehler_Frischemeier_Gould_Pfannkuch_2023, place={Cham}, title={Impacts
of Digitalization on Content and Goals of Statistics Education}, booktitle={Handbook
of Digital Resources in Mathematics Education}, publisher={Springer International
Publishing}, author={Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald
and Pfannkuch, Maxine}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin,
Jeffrey}, year={2023} }'
chicago: 'Biehler, Rolf, Daniel Frischemeier, Ronald Gould, and Maxine Pfannkuch.
“Impacts of Digitalization on Content and Goals of Statistics Education.” In Handbook
of Digital Resources in Mathematics Education, edited by Birgit Pepin, Ghislaine
Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023.'
ieee: 'R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization
on Content and Goals of Statistics Education,” in Handbook of Digital Resources
in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham:
Springer International Publishing, 2023.'
mla: Biehler, Rolf, et al. “Impacts of Digitalization on Content and Goals of Statistics
Education.” Handbook of Digital Resources in Mathematics Education, edited
by Birgit Pepin et al., Springer International Publishing, 2023.
short: 'R. Biehler, D. Frischemeier, R. Gould, M. Pfannkuch, in: B. Pepin, G. Gueudet,
J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education, Springer
International Publishing, Cham, 2023.'
date_created: 2023-10-12T11:31:22Z
date_updated: 2023-10-12T11:31:47Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Ghislaine
full_name: Gueudet, Ghislaine
last_name: Gueudet
- first_name: Jeffrey
full_name: Choppin, Jeffrey
last_name: Choppin
language:
- iso: eng
place: Cham
publication: Handbook of Digital Resources in Mathematics Education
publisher: Springer International Publishing
status: public
title: Impacts of Digitalization on Content and Goals of Statistics Education
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '48319'
author:
- first_name: Dominik
full_name: Leiss, Dominik
last_name: Leiss
- first_name: Kerstin
full_name: Gerlach, Kerstin
last_name: Gerlach
- first_name: Lena
full_name: Wessel, Lena
id: '85190'
last_name: Wessel
- first_name: Barbara
full_name: Schmidt-Thieme, Barbara
last_name: Schmidt-Thieme
citation:
ama: 'Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen.
In: Handbuch der Mathematikdidaktik. Springer Berlin Heidelberg; 2023:561-595.
doi:10.1007/978-3-662-66604-3_18'
apa: Leiss, D., Gerlach, K., Wessel, L., & Schmidt-Thieme, B. (2023). Sprache
und Mathematiklernen. In Handbuch der Mathematikdidaktik (pp. 561–595).
Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-66604-3_18
bibtex: '@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg},
title={Sprache und Mathematiklernen}, DOI={10.1007/978-3-662-66604-3_18},
booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg},
author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme,
Barbara}, year={2023}, pages={561–595} }'
chicago: 'Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme.
“Sprache und Mathematiklernen.” In Handbuch der Mathematikdidaktik, 561–95.
Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. https://doi.org/10.1007/978-3-662-66604-3_18.'
ieee: 'D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,”
in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer Berlin
Heidelberg, 2023, pp. 561–595.'
mla: Leiss, Dominik, et al. “Sprache und Mathematiklernen.” Handbuch der Mathematikdidaktik,
Springer Berlin Heidelberg, 2023, pp. 561–95, doi:10.1007/978-3-662-66604-3_18.
short: 'D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik,
Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595.'
date_created: 2023-10-19T09:12:45Z
date_updated: 2023-10-19T09:33:54Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '643'
doi: 10.1007/978-3-662-66604-3_18
language:
- iso: ger
page: 561-595
place: Berlin, Heidelberg
publication: Handbuch der Mathematikdidaktik
publication_identifier:
isbn:
- '9783662666036'
- '9783662666043'
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: Sprache und Mathematiklernen
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '48480'
author:
- first_name: Jörg
full_name: Kortmeyer, Jörg
last_name: Kortmeyer
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Kortmeyer J, Biehler R. The use of integrals for accumulation and mean values
in basic electrical engineering courses. In: Dreyfus T, Gonzalez-Martin AS, Nardi
E, Monaghan J, Thompson PW, eds. The Learning and Teaching of Calculus Across
Disciplines – Proceedings of the Second Calculus Conference. MatRIC; 2023:121-124.'
apa: Kortmeyer, J., & Biehler, R. (2023). The use of integrals for accumulation
and mean values in basic electrical engineering courses. In T. Dreyfus, A. S.
Gonzalez-Martin, E. Nardi, J. Monaghan, & P. W. Thompson (Eds.), The Learning
and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus
Conference (pp. 121–124). MatRIC.
bibtex: '@inbook{Kortmeyer_Biehler_2023, title={The use of integrals for accumulation
and mean values in basic electrical engineering courses}, booktitle={The Learning
and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus
Conference}, publisher={MatRIC}, author={Kortmeyer, Jörg and Biehler, Rolf}, editor={Dreyfus,
T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P.
W.}, year={2023}, pages={121–124} }'
chicago: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation
and Mean Values in Basic Electrical Engineering Courses.” In The Learning and
Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference,
edited by T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W.
Thompson, 121–24. MatRIC, 2023.
ieee: J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean
values in basic electrical engineering courses,” in The Learning and Teaching
of Calculus Across Disciplines – Proceedings of the Second Calculus Conference,
T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson,
Eds. MatRIC, 2023, pp. 121–124.
mla: Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and
Mean Values in Basic Electrical Engineering Courses.” The Learning and Teaching
of Calculus Across Disciplines – Proceedings of the Second Calculus Conference,
edited by T. Dreyfus et al., MatRIC, 2023, pp. 121–24.
short: 'J. Kortmeyer, R. Biehler, in: T. Dreyfus, A.S. Gonzalez-Martin, E. Nardi,
J. Monaghan, P.W. Thompson (Eds.), The Learning and Teaching of Calculus Across
Disciplines – Proceedings of the Second Calculus Conference, MatRIC, 2023, pp.
121–124.'
date_created: 2023-10-26T07:01:34Z
date_updated: 2023-10-26T07:01:40Z
ddc:
- '510'
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
editor:
- first_name: T.
full_name: Dreyfus, T.
last_name: Dreyfus
- first_name: A. S.
full_name: Gonzalez-Martin, A. S.
last_name: Gonzalez-Martin
- first_name: E.
full_name: Nardi, E.
last_name: Nardi
- first_name: J.
full_name: Monaghan, J.
last_name: Monaghan
- first_name: P. W.
full_name: Thompson, P. W.
last_name: Thompson
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2023-10-26T07:00:55Z
date_updated: 2023-10-26T07:00:55Z
file_id: '48481'
file_name: Kortemeyer Biehler aus CalcConf2023_Proceedings.pdf
file_size: 1389445
relation: main_file
success: 1
file_date_updated: 2023-10-26T07:00:55Z
has_accepted_license: '1'
language:
- iso: eng
page: 121-124
publication: The Learning and Teaching of Calculus Across Disciplines – Proceedings
of the Second Calculus Conference
publisher: MatRIC
status: public
title: The use of integrals for accumulation and mean values in basic electrical engineering
courses
type: book_chapter
user_id: '37888'
year: '2023'
...
---
_id: '49049'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Katja
full_name: Krüger, Katja
last_name: Krüger
citation:
ama: 'Biehler R, Krüger K. Von Glückstal (Ukraine) nach Frankfurt: Problemlösen,
Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen. 2023;(115):57-65.'
apa: 'Biehler, R., & Krüger, K. (2023). Von Glückstal (Ukraine) nach Frankfurt:
Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel. GDM-Mitteilungen,
115, 57–65.'
bibtex: '@article{Biehler_Krüger_2023, title={Von Glückstal (Ukraine) nach Frankfurt:
Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel}, number={115},
journal={GDM-Mitteilungen}, author={Biehler, Rolf and Krüger, Katja}, year={2023},
pages={57–65} }'
chicago: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt:
Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen,
no. 115 (2023): 57–65.'
ieee: 'R. Biehler and K. Krüger, “Von Glückstal (Ukraine) nach Frankfurt: Problemlösen,
Algorithmen, Stochastik – Nachruf auf Arthur Engel,” GDM-Mitteilungen,
no. 115, pp. 57–65, 2023.'
mla: 'Biehler, Rolf, and Katja Krüger. “Von Glückstal (Ukraine) nach Frankfurt:
Problemlösen, Algorithmen, Stochastik – Nachruf auf Arthur Engel.” GDM-Mitteilungen,
no. 115, 2023, pp. 57–65.'
short: R. Biehler, K. Krüger, GDM-Mitteilungen (2023) 57–65.
date_created: 2023-11-20T08:23:51Z
date_updated: 2023-11-20T08:23:56Z
ddc:
- '510'
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
file:
- access_level: closed
content_type: application/pdf
creator: krueter
date_created: 2023-11-20T08:23:14Z
date_updated: 2023-11-20T08:23:14Z
file_id: '49050'
file_name: Biehler_2023_NachrufEngel_MGM115.pdf
file_size: 316979
relation: main_file
success: 1
file_date_updated: 2023-11-20T08:23:14Z
has_accepted_license: '1'
issue: '115'
language:
- iso: ger
page: 57-65
publication: GDM-Mitteilungen
status: public
title: 'Von Glückstal (Ukraine) nach Frankfurt: Problemlösen, Algorithmen, Stochastik
– Nachruf auf Arthur Engel'
type: journal_article
user_id: '37888'
year: '2023'
...
---
_id: '46756'
author:
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
citation:
ama: 'Wallner M, Häsel-Weide U. Conceptual understanding of third grades for axial
symmetry. In: Novotna J, Moraova H, eds. International Symposium in Elementary
Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education.
Charles University; 2023:346-354.'
apa: 'Wallner, M., & Häsel-Weide, U. (2023). Conceptual understanding of third
grades for axial symmetry. In J. Novotna & H. Moraova (Eds.), International
Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education (pp. 346–354). Charles University.'
bibtex: '@inproceedings{Wallner_Häsel-Weide_2023, title={Conceptual understanding
of third grades for axial symmetry}, booktitle={International Symposium in Elementary
Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education},
publisher={Charles University}, author={Wallner, Melina and Häsel-Weide, Uta},
editor={Novotna, J. and Moraova, H.}, year={2023}, pages={346–354} }'
chicago: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third
Grades for Axial Symmetry.” In International Symposium in Elementary Mathematics
Teaching. Proceedings: New Directions in Elementary Mathematics Education,
edited by J. Novotna and H. Moraova, 346–54. Charles University, 2023.'
ieee: 'M. Wallner and U. Häsel-Weide, “Conceptual understanding of third grades
for axial symmetry,” in International Symposium in Elementary Mathematics Teaching.
Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023,
pp. 346–354.'
mla: 'Wallner, Melina, and Uta Häsel-Weide. “Conceptual Understanding of Third Grades
for Axial Symmetry.” International Symposium in Elementary Mathematics Teaching.
Proceedings: New Directions in Elementary Mathematics Education, edited by
J. Novotna and H. Moraova, Charles University, 2023, pp. 346–54.'
short: 'M. Wallner, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International
Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary
Mathematics Education, Charles University, 2023, pp. 346–354.'
conference:
location: Prag
name: International Symposium in Elementary Mathematics Teaching
date_created: 2023-08-30T09:24:29Z
date_updated: 2023-11-24T16:33:37Z
department:
- _id: '543'
editor:
- first_name: J.
full_name: Novotna, J.
last_name: Novotna
- first_name: H.
full_name: Moraova, H.
last_name: Moraova
language:
- iso: eng
main_file_link:
- url: https://semt.cz/proceedings/semt-23.pdf
page: 346-354
publication: 'International Symposium in Elementary Mathematics Teaching. Proceedings:
New Directions in Elementary Mathematics Education'
publisher: Charles University
status: public
title: Conceptual understanding of third grades for axial symmetry
type: conference
user_id: '45445'
year: '2023'
...
---
_id: '49326'
abstract:
- lang: eng
text: Many networked systems are governed by non-pairwise interactions between nodes.
The resulting higher-order interaction structure can then be encoded by means
of a hypernetwork. In this paper we consider dynamical systems on hypernetworks
by defining a class of admissible maps for every such hypernetwork. We explain
how to classify robust cluster synchronization patterns on hypernetworks by finding
balanced partitions, and we generalize the concept of a graph fibration to the
hypernetwork context. We also show that robust synchronization patterns are only
fully determined by polynomial admissible maps of high order. This means that,
unlike in dyadic networks, cluster synchronization on hypernetworks is a higher-order,
i.e., nonlinear, effect. We give a formula, in terms of the order of the hypernetwork,
for the degree of the polynomial admissible maps that determine robust synchronization
patterns. We also demonstrate that this degree is optimal by investigating a class
of examples. We conclude by demonstrating how this effect may cause remarkable
synchrony breaking bifurcations that occur at high polynomial degree.
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: 'von der Gracht S, Nijholt E, Rink B. Hypernetworks: Cluster Synchronization
Is a Higher-Order Effect. SIAM Journal on Applied Mathematics. 2023;83(6):2329-2353.
doi:10.1137/23m1561075'
apa: 'von der Gracht, S., Nijholt, E., & Rink, B. (2023). Hypernetworks: Cluster
Synchronization Is a Higher-Order Effect. SIAM Journal on Applied Mathematics,
83(6), 2329–2353. https://doi.org/10.1137/23m1561075'
bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Hypernetworks: Cluster
Synchronization Is a Higher-Order Effect}, volume={83}, DOI={10.1137/23m1561075},
number={6}, journal={SIAM Journal on Applied Mathematics}, publisher={Society
for Industrial & Applied Mathematics (SIAM)}, author={von der Gracht, Sören
and Nijholt, Eddie and Rink, Bob}, year={2023}, pages={2329–2353} }'
chicago: 'Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Hypernetworks: Cluster
Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics
83, no. 6 (2023): 2329–53. https://doi.org/10.1137/23m1561075.'
ieee: 'S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization
Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83,
no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.'
mla: 'von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a
Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no.
6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53,
doi:10.1137/23m1561075.'
short: S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics
83 (2023) 2329–2353.
date_created: 2023-11-29T10:50:05Z
date_updated: 2023-11-29T10:52:23Z
department:
- _id: '101'
doi: 10.1137/23m1561075
external_id:
arxiv:
- '2302.08974'
intvolume: ' 83'
issue: '6'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 2329-2353
publication: SIAM Journal on Applied Mathematics
publication_identifier:
issn:
- 0036-1399
- 1095-712X
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: 'Hypernetworks: Cluster Synchronization Is a Higher-Order Effect'
type: journal_article
user_id: '97359'
volume: 83
year: '2023'
...
---
_id: '49371'
abstract:
- lang: eng
text: "To model dynamical systems on networks with higher order (non-pairwise)\r\ninteractions,
we recently introduced a new class of ODEs on hypernetworks. Here\r\nwe consider
one-parameter synchrony breaking bifurcations in such ODEs. We call\r\na synchrony
breaking steady state branch \"reluctant\" if it is tangent to a\r\nsynchrony
space, but does not lie inside it. We prove that reluctant synchrony\r\nbreaking
is ubiquitous in hypernetwork systems, by constructing a large class\r\nof examples
that support it. We also give an explicit formula for the order of\r\ntangency
to the synchrony space of a reluctant steady state branch."
author:
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Eddie
full_name: Nijholt, Eddie
last_name: Nijholt
- first_name: Bob
full_name: Rink, Bob
last_name: Rink
citation:
ama: von der Gracht S, Nijholt E, Rink B. Higher order interactions lead to “reluctant”
synchrony breaking. arXiv:231117186. Published online 2023.
apa: von der Gracht, S., Nijholt, E., & Rink, B. (2023). Higher order interactions
lead to “reluctant” synchrony breaking. In arXiv:2311.17186.
bibtex: '@article{von der Gracht_Nijholt_Rink_2023, title={Higher order interactions
lead to “reluctant” synchrony breaking}, journal={arXiv:2311.17186}, author={von
der Gracht, Sören and Nijholt, Eddie and Rink, Bob}, year={2023} }'
chicago: Gracht, Sören von der, Eddie Nijholt, and Bob Rink. “Higher Order Interactions
Lead to ‘Reluctant’ Synchrony Breaking.” ArXiv:2311.17186, 2023.
ieee: S. von der Gracht, E. Nijholt, and B. Rink, “Higher order interactions lead
to ‘reluctant’ synchrony breaking,” arXiv:2311.17186. 2023.
mla: von der Gracht, Sören, et al. “Higher Order Interactions Lead to ‘Reluctant’
Synchrony Breaking.” ArXiv:2311.17186, 2023.
short: S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2311.17186 (2023).
date_created: 2023-12-01T06:35:29Z
date_updated: 2023-12-01T06:38:44Z
department:
- _id: '101'
external_id:
arxiv:
- '2311.17186'
language:
- iso: eng
publication: arXiv:2311.17186
status: public
title: Higher order interactions lead to "reluctant" synchrony breaking
type: preprint
user_id: '97359'
year: '2023'
...
---
_id: '49372'
author:
- first_name: Jürgen
full_name: Klüners, Jürgen
id: '21202'
last_name: Klüners
- first_name: Jiuya
full_name: Wang, Jiuya
last_name: Wang
citation:
ama: Klüners J, Wang J. Idélic Approach in Enumerating Heisenberg Extensions. La
Matematica. Published online 2023. doi:10.1007/s44007-023-00067-w
apa: Klüners, J., & Wang, J. (2023). Idélic Approach in Enumerating Heisenberg
Extensions. La Matematica. https://doi.org/10.1007/s44007-023-00067-w
bibtex: '@article{Klüners_Wang_2023, title={Idélic Approach in Enumerating Heisenberg
Extensions}, DOI={10.1007/s44007-023-00067-w},
journal={La Matematica}, publisher={Springer Science and Business Media LLC},
author={Klüners, Jürgen and Wang, Jiuya}, year={2023} }'
chicago: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg
Extensions.” La Matematica, 2023. https://doi.org/10.1007/s44007-023-00067-w.
ieee: 'J. Klüners and J. Wang, “Idélic Approach in Enumerating Heisenberg Extensions,”
La Matematica, 2023, doi: 10.1007/s44007-023-00067-w.'
mla: Klüners, Jürgen, and Jiuya Wang. “Idélic Approach in Enumerating Heisenberg
Extensions.” La Matematica, Springer Science and Business Media LLC, 2023,
doi:10.1007/s44007-023-00067-w.
short: J. Klüners, J. Wang, La Matematica (2023).
date_created: 2023-12-01T09:23:59Z
date_updated: 2023-12-06T09:50:43Z
department:
- _id: '102'
doi: 10.1007/s44007-023-00067-w
language:
- iso: eng
publication: La Matematica
publication_identifier:
issn:
- 2730-9657
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Idélic Approach in Enumerating Heisenberg Extensions
type: journal_article
user_id: '21202'
year: '2023'
...
---
_id: '49425'
author:
- first_name: Simone
full_name: Seitz, Simone
last_name: Seitz
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Yannik
full_name: Wilke, Yannik
last_name: Wilke
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
citation:
ama: 'Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise and professionalism
for inclusive (mathematics) teaching and learning: reflections on findings from
interdisciplinary professionalisation research. Teachers and Teaching.
Published online 2023:1-16. doi:https://doi.org/10.1080/13540602.2023.2284876 '
apa: 'Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2023). Expertise
and professionalism for inclusive (mathematics) teaching and learning: reflections
on findings from interdisciplinary professionalisation research. Teachers and
Teaching, 1–16. https://doi.org/10.1080/13540602.2023.2284876
'
bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2023, title={Expertise and professionalism
for inclusive (mathematics) teaching and learning: reflections on findings from
interdisciplinary professionalisation research}, DOI={https://doi.org/10.1080/13540602.2023.2284876 }, journal={Teachers and Teaching},
author={Seitz, Simone and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina},
year={2023}, pages={1–16} }'
chicago: 'Seitz, Simone, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise
and Professionalism for Inclusive (Mathematics) Teaching and Learning: Reflections
on Findings from Interdisciplinary Professionalisation Research.” Teachers
and Teaching, 2023, 1–16. https://doi.org/10.1080/13540602.2023.2284876 .'
ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise and professionalism
for inclusive (mathematics) teaching and learning: reflections on findings from
interdisciplinary professionalisation research,” Teachers and Teaching,
pp. 1–16, 2023, doi: https://doi.org/10.1080/13540602.2023.2284876
.'
mla: 'Seitz, Simone, et al. “Expertise and Professionalism for Inclusive (Mathematics)
Teaching and Learning: Reflections on Findings from Interdisciplinary Professionalisation
Research.” Teachers and Teaching, 2023, pp. 1–16, doi:https://doi.org/10.1080/13540602.2023.2284876 .'
short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, Teachers and Teaching (2023)
1–16.
date_created: 2023-12-04T09:45:04Z
date_updated: 2023-12-13T12:51:03Z
department:
- _id: '543'
doi: 'https://doi.org/10.1080/13540602.2023.2284876 '
language:
- iso: eng
page: 1-16
publication: Teachers and Teaching
status: public
title: 'Expertise and professionalism for inclusive (mathematics) teaching and learning:
reflections on findings from interdisciplinary professionalisation research'
type: journal_article
user_id: '45445'
year: '2023'
...
---
_id: '34135'
abstract:
- lang: eng
text: By one of the most fundamental principles in physics, a dynamical system will
exhibit those motions which extremise an action functional. This leads to the
formation of the Euler-Lagrange equations, which serve as a model of how the system
will behave in time. If the dynamics exhibit additional symmetries, then the motion
fulfils additional conservation laws, such as conservation of energy (time invariance),
momentum (translation invariance), or angular momentum (rotational invariance).
To learn a system representation, one could learn the discrete Euler-Lagrange
equations, or alternatively, learn the discrete Lagrangian function Ld which defines
them. Based on ideas from Lie group theory, in this work we introduce a framework
to learn a discrete Lagrangian along with its symmetry group from discrete observations
of motions and, therefore, identify conserved quantities. The learning process
does not restrict the form of the Lagrangian, does not require velocity or momentum
observations or predictions and incorporates a cost term which safeguards against
unwanted solutions and against potential numerical issues in forward simulations.
The learnt discrete quantities are related to their continuous analogues using
variational backward error analysis and numerical results demonstrate the improvement
such models can have both qualitatively and quantitatively even in the presence
of noise.
author:
- first_name: Yana
full_name: Lishkova, Yana
last_name: Lishkova
- first_name: Paul
full_name: Scherer, Paul
last_name: Scherer
- first_name: Steffen
full_name: Ridderbusch, Steffen
last_name: Ridderbusch
- first_name: Mateja
full_name: Jamnik, Mateja
last_name: Jamnik
- first_name: Pietro
full_name: Liò, Pietro
last_name: Liò
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: 'Lishkova Y, Scherer P, Ridderbusch S, et al. Discrete Lagrangian Neural Networks
with Automatic Symmetry Discovery. In: IFAC-PapersOnLine. Vol 56. Elsevier;
2023:3203-3210. doi:10.1016/j.ifacol.2023.10.1457'
apa: Lishkova, Y., Scherer, P., Ridderbusch, S., Jamnik, M., Liò, P., Ober-Blöbaum,
S., & Offen, C. (2023). Discrete Lagrangian Neural Networks with Automatic
Symmetry Discovery. IFAC-PapersOnLine, 56(2), 3203–3210. https://doi.org/10.1016/j.ifacol.2023.10.1457
bibtex: '@inproceedings{Lishkova_Scherer_Ridderbusch_Jamnik_Liò_Ober-Blöbaum_Offen_2023,
title={Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery},
volume={56}, DOI={10.1016/j.ifacol.2023.10.1457},
number={2}, booktitle={IFAC-PapersOnLine}, publisher={Elsevier}, author={Lishkova,
Yana and Scherer, Paul and Ridderbusch, Steffen and Jamnik, Mateja and Liò, Pietro
and Ober-Blöbaum, Sina and Offen, Christian}, year={2023}, pages={3203–3210} }'
chicago: Lishkova, Yana, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro
Liò, Sina Ober-Blöbaum, and Christian Offen. “Discrete Lagrangian Neural Networks
with Automatic Symmetry Discovery.” In IFAC-PapersOnLine, 56:3203–10. Elsevier,
2023. https://doi.org/10.1016/j.ifacol.2023.10.1457.
ieee: 'Y. Lishkova et al., “Discrete Lagrangian Neural Networks with Automatic
Symmetry Discovery,” in IFAC-PapersOnLine, Yokohama, Japan, 2023, vol.
56, no. 2, pp. 3203–3210, doi: 10.1016/j.ifacol.2023.10.1457.'
mla: Lishkova, Yana, et al. “Discrete Lagrangian Neural Networks with Automatic
Symmetry Discovery.” IFAC-PapersOnLine, vol. 56, no. 2, Elsevier, 2023,
pp. 3203–10, doi:10.1016/j.ifacol.2023.10.1457.
short: 'Y. Lishkova, P. Scherer, S. Ridderbusch, M. Jamnik, P. Liò, S. Ober-Blöbaum,
C. Offen, in: IFAC-PapersOnLine, Elsevier, 2023, pp. 3203–3210.'
conference:
end_date: 2023-07-14
location: ' Yokohama, Japan'
name: The 22nd World Congress of the International Federation of Automatic Control
start_date: 2023-07-09
date_created: 2022-11-23T08:17:10Z
date_updated: 2023-12-29T14:26:00Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1016/j.ifacol.2023.10.1457
external_id:
arxiv:
- '2211.10830'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2023-04-17T08:05:55Z
date_updated: 2023-04-17T08:05:55Z
description: |-
By one of the most fundamental principles in physics, a dynamical system will
exhibit those motions which extremise an action functional. This leads to the formation of
the Euler-Lagrange equations, which serve as a model of how the system will behave in time.
If the dynamics exhibit additional symmetries, then the motion fulfils additional conservation
laws, such as conservation of energy (time invariance), momentum (translation invariance), or
angular momentum (rotational invariance). To learn a system representation, one could learn
the discrete Euler-Lagrange equations, or alternatively, learn the discrete Lagrangian function
Ld which defines them. Based on ideas from Lie group theory, we introduce a framework to learn
a discrete Lagrangian along with its symmetry group from discrete observations of motions and,
therefore, identify conserved quantities. The learning process does not restrict the form of the
Lagrangian, does not require velocity or momentum observations or predictions and incorporates
a cost term which safeguards against unwanted solutions and against potential numerical issues
in forward simulations. The learnt discrete quantities are related to their continuous analogues
using variational backward error analysis and numerical results demonstrate the improvement
such models can have both qualitatively and quantitatively even in the presence of noise.
file_id: '44037'
file_name: LNN_project.pdf
file_size: 576115
relation: main_file
title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery
file_date_updated: 2023-04-17T08:05:55Z
has_accepted_license: '1'
intvolume: ' 56'
issue: '2'
language:
- iso: eng
main_file_link:
- url: https://www.sciencedirect.com/science/article/pii/S2405896323018657
oa: '1'
page: 3203-3210
publication: IFAC-PapersOnLine
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/yanalish/SymDLNN
status: public
title: Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery
type: conference
user_id: '85279'
volume: 56
year: '2023'
...
---
_id: '44840'
abstract:
- lang: eng
text: "In this article we investigate the convergence behavior of gathering protocols
with fixed circulant topologies using tools form dynamical systems. Given a fixed
number of mobile entities moving in the Euclidean plane, we model a gathering
protocol as a system of ordinary differential equations whose equilibria are exactly
all possible gathering points. Then, we find necessary and sufficient conditions
for the structure of the underlying interaction graph such that the protocol is
stable and converging, i.e., gathering, in the distributive computing sense by
using tools from dynamical systems. Moreover, these tools allow for a more fine
grained analysis in terms of speed of convergence in the dynamical systems sense.
In fact, we derive a decomposition\r\nof the state space into stable invariant
subspaces with different convergence\r\nrates. In particular, this decomposition
is identical for every (linear)\r\ncirculant gathering protocol, whereas only
the convergence rates depend on the\r\nweights in interaction graph itself."
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering
Protocols with Circulant Topologies. arXiv:230506632.
apa: Gerlach, R., von der Gracht, S., & Dellnitz, M. (n.d.). On the Dynamical
Hierarchy in Gathering Protocols with Circulant Topologies. In arXiv:2305.06632.
bibtex: '@article{Gerlach_von der Gracht_Dellnitz, title={On the Dynamical Hierarchy
in Gathering Protocols with Circulant Topologies}, journal={arXiv:2305.06632},
author={Gerlach, Raphael and von der Gracht, Sören and Dellnitz, Michael} }'
chicago: Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical
Hierarchy in Gathering Protocols with Circulant Topologies.” ArXiv:2305.06632,
n.d.
ieee: R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy
in Gathering Protocols with Circulant Topologies,” arXiv:2305.06632. .
mla: Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols
with Circulant Topologies.” ArXiv:2305.06632.
short: R. Gerlach, S. von der Gracht, M. Dellnitz, ArXiv:2305.06632 (n.d.).
date_created: 2023-05-12T10:16:06Z
date_updated: 2024-01-03T17:00:48Z
department:
- _id: '101'
external_id:
arxiv:
- '2305.06632'
keyword:
- Dynamical Systems
- Coupled Systems
- Distributed Computing
- Robot Swarms
- Autonomous Mobile Robots
- Gathering
language:
- iso: eng
main_file_link:
- url: https://arxiv.org/abs/2305.06632
page: '38'
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: arXiv:2305.06632
publication_status: submitted
related_material:
link:
- relation: supplementary_material
url: https://math.uni-paderborn.de/en/ag/chair-of-applied-mathematics/research/research-projects/swarmdynamics
status: public
title: On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
type: preprint
user_id: '32655'
year: '2023'
...
---
_id: '50298'
abstract:
- lang: eng
text: A finite classical polar space of rank $n$ consists of the totally isotropic
subspaces of a finite vector space equipped with a nondegenerate form such that
$n$ is the maximal dimension of such a subspace. A $t$-Steiner system in a finite
classical polar space of rank $n$ is a collection $Y$ of totally isotropic $n$-spaces
such that each totally isotropic $t$-space is contained in exactly one member
of $Y$. Nontrivial examples are known only for $t=1$ and $t=n-1$. We give an almost
complete classification of such $t$-Steiner systems, showing that such objects
can only exist in some corner cases. This classification result arises from a
more general result on packings in polar spaces.
author:
- first_name: Kai-Uwe
full_name: Schmidt, Kai-Uwe
last_name: Schmidt
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Schmidt K-U, Weiß C. Packings and Steiner systems in polar spaces. Combinatorial
Theory. 2023;3(1). doi:10.5070/c63160424
apa: Schmidt, K.-U., & Weiß, C. (2023). Packings and Steiner systems in polar
spaces. Combinatorial Theory, 3(1). https://doi.org/10.5070/c63160424
bibtex: '@article{Schmidt_Weiß_2023, title={Packings and Steiner systems in polar
spaces}, volume={3}, DOI={10.5070/c63160424},
number={1}, journal={Combinatorial Theory}, author={Schmidt, Kai-Uwe and Weiß,
Charlene}, year={2023} }'
chicago: Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar
Spaces.” Combinatorial Theory 3, no. 1 (2023). https://doi.org/10.5070/c63160424.
ieee: 'K.-U. Schmidt and C. Weiß, “Packings and Steiner systems in polar spaces,”
Combinatorial Theory, vol. 3, no. 1, 2023, doi: 10.5070/c63160424.'
mla: Schmidt, Kai-Uwe, and Charlene Weiß. “Packings and Steiner Systems in Polar
Spaces.” Combinatorial Theory, vol. 3, no. 1, 2023, doi:10.5070/c63160424.
short: K.-U. Schmidt, C. Weiß, Combinatorial Theory 3 (2023).
date_created: 2024-01-08T14:33:54Z
date_updated: 2024-01-08T14:39:20Z
department:
- _id: '100'
doi: 10.5070/c63160424
intvolume: ' 3'
issue: '1'
language:
- iso: eng
publication: Combinatorial Theory
publication_status: published
status: public
title: Packings and Steiner systems in polar spaces
type: journal_article
user_id: '70420'
volume: 3
year: '2023'
...
---
_id: '50297'
abstract:
- lang: eng
text: We show that there exist ordered orthogonal arrays, whose sizes deviate from
the Rao bound by a factor that is polynomial in the parameters of the ordered
orthogonal array. The proof is nonconstructive and based on a probabilistic method
due to Kuperberg, Lovett and Peled.
author:
- first_name: Kai‐Uwe
full_name: Schmidt, Kai‐Uwe
last_name: Schmidt
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Schmidt K, Weiß C. Existence of small ordered orthogonal arrays. Journal
of Combinatorial Designs. 2023;31(9):422-431. doi:10.1002/jcd.21903
apa: Schmidt, K., & Weiß, C. (2023). Existence of small ordered orthogonal arrays.
Journal of Combinatorial Designs, 31(9), 422–431. https://doi.org/10.1002/jcd.21903
bibtex: '@article{Schmidt_Weiß_2023, title={Existence of small ordered orthogonal
arrays}, volume={31}, DOI={10.1002/jcd.21903},
number={9}, journal={Journal of Combinatorial Designs}, publisher={Wiley}, author={Schmidt,
Kai‐Uwe and Weiß, Charlene}, year={2023}, pages={422–431} }'
chicago: 'Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal
Arrays.” Journal of Combinatorial Designs 31, no. 9 (2023): 422–31. https://doi.org/10.1002/jcd.21903.'
ieee: 'K. Schmidt and C. Weiß, “Existence of small ordered orthogonal arrays,” Journal
of Combinatorial Designs, vol. 31, no. 9, pp. 422–431, 2023, doi: 10.1002/jcd.21903.'
mla: Schmidt, Kai‐Uwe, and Charlene Weiß. “Existence of Small Ordered Orthogonal
Arrays.” Journal of Combinatorial Designs, vol. 31, no. 9, Wiley, 2023,
pp. 422–31, doi:10.1002/jcd.21903.
short: K. Schmidt, C. Weiß, Journal of Combinatorial Designs 31 (2023) 422–431.
date_created: 2024-01-08T14:25:28Z
date_updated: 2024-01-08T14:38:53Z
department:
- _id: '100'
doi: 10.1002/jcd.21903
intvolume: ' 31'
issue: '9'
language:
- iso: eng
page: 422-431
publication: Journal of Combinatorial Designs
publication_status: published
publisher: Wiley
status: public
title: Existence of small ordered orthogonal arrays
type: journal_article
user_id: '70420'
volume: 31
year: '2023'
...
---
_id: '50300'
abstract:
- lang: eng
text: Digital communications relies heavily on the usage of different types of codes.
Prominent codes nowadays are rank-metric codes and subspace codes - the q-analogs
of binary codes and binary codes with constant weight. All these codes can be
viewed as subsets of classical association schemes. A central coding-theoretic
problem is to derive upper bounds for the size of codes. This thesis investigates
Delsartes powerful linear program whose optimum is precisely such a bound for
codes in association schemes. The linear programs for binary codes and binary
constant-weight codes have been extensively studied since the 1970s, but their
optimum is still unknown. We determine in a unified way the optimum of the linear
program in several ordinary q-analogs as well as in their affine counterparts.
In particular, bounds and constructions for codes in polar spaces are established,
where the bounds are sharp up to a constant factor in many cases. Moreover, based
on these results, an almost complete classification of Steiner systems in polar
spaces is provided by showing that they could only exist in some corner cases.
author:
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Weiß C. Linear Programming Bounds in Classical Association Schemes.;
2023. doi:10.17619/UNIPB/1-1672
apa: Weiß, C. (2023). Linear programming bounds in classical association schemes.
https://doi.org/10.17619/UNIPB/1-1672
bibtex: '@book{Weiß_2023, title={Linear programming bounds in classical association
schemes}, DOI={10.17619/UNIPB/1-1672},
author={Weiß, Charlene}, year={2023} }'
chicago: Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes,
2023. https://doi.org/10.17619/UNIPB/1-1672.
ieee: C. Weiß, Linear programming bounds in classical association schemes.
2023.
mla: Weiß, Charlene. Linear Programming Bounds in Classical Association Schemes.
2023, doi:10.17619/UNIPB/1-1672.
short: C. Weiß, Linear Programming Bounds in Classical Association Schemes, 2023.
date_created: 2024-01-08T14:42:12Z
date_updated: 2024-01-08T14:46:14Z
department:
- _id: '100'
doi: 10.17619/UNIPB/1-1672
language:
- iso: eng
status: public
title: Linear programming bounds in classical association schemes
type: dissertation
user_id: '70420'
year: '2023'
...
---
_id: '50299'
abstract:
- lang: eng
text: "A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces
of a finite vector space over $\\mathbb{F}_p$ equipped with a\r\nnondegenerate
form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$
design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of
totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is
contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently
only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar
spaces exist for all $t$ and $p$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is
sufficiently large enough. The proof is based on a\r\nprobabilistic method by
Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive."
author:
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. arXiv:231108288.
apa: Weiß, C. (n.d.). Nontrivial $t$-designs in polar spaces exist for all $t$.
In arXiv:2311.08288.
bibtex: '@article{Weiß, title={Nontrivial $t$-designs in polar spaces exist for
all $t$}, journal={arXiv:2311.08288}, author={Weiß, Charlene} }'
chicago: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.”
ArXiv:2311.08288, n.d.
ieee: C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” arXiv:2311.08288.
.
mla: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.”
ArXiv:2311.08288.
short: C. Weiß, ArXiv:2311.08288 (n.d.).
date_created: 2024-01-08T14:39:54Z
date_updated: 2024-01-08T14:41:18Z
department:
- _id: '100'
external_id:
arxiv:
- '2311.08288'
language:
- iso: eng
publication: arXiv:2311.08288
publication_status: submitted
status: public
title: Nontrivial $t$-designs in polar spaces exist for all $t$
type: preprint
user_id: '70420'
year: '2023'
...
---
_id: '48596'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: R.
full_name: Schmidt, R.
last_name: Schmidt
- first_name: Petra
full_name: Büker, Petra
id: '21978'
last_name: Büker
citation:
ama: 'Häsel-Weide U, Schmidt R, Büker P. „FInDig“: Fach – Inklusion – Digitalisierung
vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung. Zeitschrift
für Schul- Und Professionsentwicklung (PFLB). 2023;5(1):215-229.'
apa: 'Häsel-Weide, U., Schmidt, R., & Büker, P. (2023). „FInDig“: Fach – Inklusion
– Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung.
Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB), 5(1),
215–229.'
bibtex: '@article{Häsel-Weide_Schmidt_Büker_2023, title={„FInDig“: Fach – Inklusion
– Digitalisierung vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung},
volume={5}, number={1}, journal={Zeitschrift für Schul- Und Professionsentwicklung.
(PFLB)}, author={Häsel-Weide, Uta and Schmidt, R. and Büker, Petra}, year={2023},
pages={215–229} }'
chicago: 'Häsel-Weide, Uta, R. Schmidt, and Petra Büker. “„FInDig“: Fach – Inklusion
– Digitalisierung Vernetzen. Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.”
Zeitschrift Für Schul- Und Professionsentwicklung. (PFLB) 5, no. 1 (2023):
215–29.'
ieee: 'U. Häsel-Weide, R. Schmidt, and P. Büker, “„FInDig“: Fach – Inklusion – Digitalisierung
vernetzen. Ein Planungs- und Reflexionsmodell für die Lehrkräftebildung,” Zeitschrift
für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, pp. 215–229,
2023.'
mla: 'Häsel-Weide, Uta, et al. “„FInDig“: Fach – Inklusion – Digitalisierung Vernetzen.
Ein Planungs- Und Reflexionsmodell Für Die Lehrkräftebildung.” Zeitschrift
Für Schul- Und Professionsentwicklung. (PFLB), vol. 5, no. 1, 2023, pp. 215–29.'
short: U. Häsel-Weide, R. Schmidt, P. Büker, Zeitschrift Für Schul- Und Professionsentwicklung.
(PFLB) 5 (2023) 215–229.
date_created: 2023-11-02T11:22:34Z
date_updated: 2024-01-11T13:32:19Z
department:
- _id: '543'
- _id: '458'
intvolume: ' 5'
issue: '1'
language:
- iso: eng
page: 215-229
publication: Zeitschrift für Schul- Und Professionsentwicklung. (PFLB)
related_material:
link:
- relation: original
url: 'https://doi.org/10.11576/pflb-6763 '
status: public
title: '„FInDig“: Fach – Inklusion – Digitalisierung vernetzen. Ein Planungs- und
Reflexionsmodell für die Lehrkräftebildung'
type: journal_article
user_id: '14931'
volume: 5
year: '2023'
...
---
_id: '51131'
author:
- first_name: Lara Marie
full_name: Graf, Lara Marie
id: '89837'
last_name: Graf
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: K.
full_name: Höveler, K.
last_name: Höveler
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Graf LM, Häsel-Weide U, Höveler K, Nührenbörger M. Insights into out-of-field
teachers’ self-reports: Fostering the understanding of addition and subtraction
as a basis for children to overcome difficulties in mathematics. In: Drijvers
P, Csapodi C, Palmér H, Gosztonyi K, Kónya E, Alfréd Rényi Institute of Mathematics
and ERME, eds. Proceedings of the Thirteenth Congress of the European Society
for Research in Mathematics Education (CERME13). ; 2023:3203-3210.'
apa: 'Graf, L. M., Häsel-Weide, U., Höveler, K., & Nührenbörger, M. (2023).
Insights into out-of-field teachers’ self-reports: Fostering the understanding
of addition and subtraction as a basis for children to overcome difficulties in
mathematics. In P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, &
Alfréd Rényi Institute of Mathematics and ERME (Eds.), Proceedings of the Thirteenth
Congress of the European Society for Research in Mathematics Education (CERME13)
(pp. 3203–3210).'
bibtex: '@inproceedings{Graf_Häsel-Weide_Höveler_Nührenbörger_2023, title={Insights
into out-of-field teachers’ self-reports: Fostering the understanding of addition
and subtraction as a basis for children to overcome difficulties in mathematics},
booktitle={Proceedings of the Thirteenth Congress of the European Society for
Research in Mathematics Education (CERME13)}, author={Graf, Lara Marie and Häsel-Weide,
Uta and Höveler, K. and Nührenbörger, M.}, editor={Drijvers, P. and Csapodi, C.
and Palmér, H. and Gosztonyi, K. and Kónya, E. and Alfréd Rényi Institute of Mathematics
and ERME}, year={2023}, pages={3203–3210} }'
chicago: 'Graf, Lara Marie, Uta Häsel-Weide, K. Höveler, and M. Nührenbörger. “Insights
into Out-of-Field Teachers’ Self-Reports: Fostering the Understanding of Addition
and Subtraction as a Basis for Children to Overcome Difficulties in Mathematics.”
In Proceedings of the Thirteenth Congress of the European Society for Research
in Mathematics Education (CERME13), edited by P. Drijvers, C. Csapodi, H.
Palmér, K. Gosztonyi, E. Kónya, and Alfréd Rényi Institute of Mathematics and
ERME, 3203–10, 2023.'
ieee: 'L. M. Graf, U. Häsel-Weide, K. Höveler, and M. Nührenbörger, “Insights into
out-of-field teachers’ self-reports: Fostering the understanding of addition and
subtraction as a basis for children to overcome difficulties in mathematics,”
in Proceedings of the Thirteenth Congress of the European Society for Research
in Mathematics Education (CERME13), 2023, pp. 3203–3210.'
mla: 'Graf, Lara Marie, et al. “Insights into Out-of-Field Teachers’ Self-Reports:
Fostering the Understanding of Addition and Subtraction as a Basis for Children
to Overcome Difficulties in Mathematics.” Proceedings of the Thirteenth Congress
of the European Society for Research in Mathematics Education (CERME13), edited
by P. Drijvers et al., 2023, pp. 3203–10.'
short: 'L.M. Graf, U. Häsel-Weide, K. Höveler, M. Nührenbörger, in: P. Drijvers,
C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, Alfréd Rényi Institute of Mathematics
and ERME (Eds.), Proceedings of the Thirteenth Congress of the European Society
for Research in Mathematics Education (CERME13), 2023, pp. 3203–3210.'
corporate_editor:
- Alfréd Rényi Institute of Mathematics and ERME
date_created: 2024-02-05T08:47:35Z
date_updated: 2024-02-05T08:55:43Z
department:
- _id: '543'
editor:
- first_name: P.
full_name: Drijvers, P.
last_name: Drijvers
- first_name: C.
full_name: Csapodi, C.
last_name: Csapodi
- first_name: H.
full_name: Palmér, H.
last_name: Palmér
- first_name: K.
full_name: Gosztonyi, K.
last_name: Gosztonyi
- first_name: E.
full_name: Kónya, E.
last_name: Kónya
language:
- iso: eng
page: 3203-3210
publication: Proceedings of the Thirteenth Congress of the European Society for Research
in Mathematics Education (CERME13)
status: public
title: 'Insights into out-of-field teachers’ self-reports: Fostering the understanding
of addition and subtraction as a basis for children to overcome difficulties in
mathematics'
type: conference
user_id: '14931'
year: '2023'
...
---
_id: '31189'
abstract:
- lang: eng
text: "Given a geometrically finite hyperbolic surface of infinite volume it is
a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator
has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization
of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential
operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of
higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe
geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding
principal eigenvalues. A large class of examples fulfilling these\r\nassumptions
are the non-compact quotients by Anosov subgroups."
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally
symmetric spaces. Communications in Mathematical Physics. 2023;403. doi:https://doi.org/10.1007/s00220-023-04819-1
apa: Weich, T., & Wolf, L. L. (2023). Absence of principal eigenvalues for higher
rank locally symmetric spaces. Communications in Mathematical Physics,
403. https://doi.org/10.1007/s00220-023-04819-1
bibtex: '@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher
rank locally symmetric spaces}, volume={403}, DOI={https://doi.org/10.1007/s00220-023-04819-1},
journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf,
Lasse Lennart}, year={2023} }'
chicago: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues
for Higher Rank Locally Symmetric Spaces.” Communications in Mathematical
Physics 403 (2023). https://doi.org/10.1007/s00220-023-04819-1.
ieee: 'T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank
locally symmetric spaces,” Communications in Mathematical Physics, vol.
403, 2023, doi: https://doi.org/10.1007/s00220-023-04819-1.'
mla: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for
Higher Rank Locally Symmetric Spaces.” Communications in Mathematical Physics,
vol. 403, 2023, doi:https://doi.org/10.1007/s00220-023-04819-1.
short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
date_created: 2022-05-11T10:38:11Z
date_updated: 2024-02-06T20:52:40Z
department:
- _id: '10'
- _id: '548'
- _id: '623'
doi: https://doi.org/10.1007/s00220-023-04819-1
external_id:
arxiv:
- '2205.03167'
intvolume: ' 403'
language:
- iso: eng
publication: Communications in Mathematical Physics
publication_identifier:
unknown:
- 1275-1295
status: public
title: Absence of principal eigenvalues for higher rank locally symmetric spaces
type: journal_article
user_id: '49178'
volume: 403
year: '2023'
...
---
_id: '31059'
abstract:
- lang: eng
text: In this article we prove meromorphic continuation of weighted zeta functions
in the framework of open hyperbolic systems by using the meromorphically continued
restricted resolvent of Dyatlov and Guillarmou (2016). We obtain a residue formula
proving equality between residues of weighted zetas and invariant Ruelle distributions.
We combine this equality with results of Guillarmou, Hilgert and Weich (2021)
in order to relate the residues to Patterson-Sullivan distributions. Finally we
provide proof-of-principle results concerning the numerical calculation of invariant
Ruelle distributions for 3-disc scattering systems.
author:
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Sonja
full_name: Barkhofen, Sonja
id: '48188'
last_name: Barkhofen
citation:
ama: Schütte P, Weich T, Barkhofen S. Meromorphic Continuation of Weighted Zeta
Functions on Open Hyperbolic Systems. Communications in Mathematical Physics.
2023;398:655-678. doi:ttps://doi.org/10.1007/s00220-022-04538-z
apa: Schütte, P., Weich, T., & Barkhofen, S. (2023). Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems. Communications in Mathematical
Physics, 398, 655–678. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z
bibtex: '@article{Schütte_Weich_Barkhofen_2023, title={Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems}, volume={398}, DOI={ttps://doi.org/10.1007/s00220-022-04538-z},
journal={Communications in Mathematical Physics}, author={Schütte, Philipp and
Weich, Tobias and Barkhofen, Sonja}, year={2023}, pages={655–678} }'
chicago: 'Schütte, Philipp, Tobias Weich, and Sonja Barkhofen. “Meromorphic Continuation
of Weighted Zeta Functions on Open Hyperbolic Systems.” Communications in Mathematical
Physics 398 (2023): 655–78. https://doi.org/ttps://doi.org/10.1007/s00220-022-04538-z.'
ieee: 'P. Schütte, T. Weich, and S. Barkhofen, “Meromorphic Continuation of Weighted
Zeta Functions on Open Hyperbolic Systems,” Communications in Mathematical
Physics, vol. 398, pp. 655–678, 2023, doi: ttps://doi.org/10.1007/s00220-022-04538-z.'
mla: Schütte, Philipp, et al. “Meromorphic Continuation of Weighted Zeta Functions
on Open Hyperbolic Systems.” Communications in Mathematical Physics, vol.
398, 2023, pp. 655–78, doi:ttps://doi.org/10.1007/s00220-022-04538-z.
short: P. Schütte, T. Weich, S. Barkhofen, Communications in Mathematical Physics
398 (2023) 655–678.
date_created: 2022-05-04T12:27:46Z
date_updated: 2024-02-11T19:56:15Z
department:
- _id: '10'
- _id: '548'
- _id: '623'
doi: ttps://doi.org/10.1007/s00220-022-04538-z
external_id:
arxiv:
- '2112.05791'
intvolume: ' 398'
language:
- iso: eng
page: 655-678
publication: Communications in Mathematical Physics
status: public
title: Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
type: journal_article
user_id: '49178'
volume: 398
year: '2023'
...
---
_id: '51206'
abstract:
- lang: eng
text: "We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions
on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the
connection between invariant Ruelle distributions and residues\r\nof meromorphically
continued weighted zeta functions established by the authors\r\ntogether with
Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted
zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm
determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer
operator has to include a contracting direction which\r\nwe account for with techniques
developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed
for our algorithm in the case of surfaces with\r\nadditional symmetries by proving
and applying a symmetry reduction of weighted\r\nzeta functions."
author:
- first_name: Philipp
full_name: Schütte, Philipp
id: '50168'
last_name: Schütte
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic
Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. arXiv:230813463.
Published online 2023.
apa: Schütte, P., & Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions. In
arXiv:2308.13463.
bibtex: '@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463},
author={Schütte, Philipp and Weich, Tobias}, year={2023} }'
chicago: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on
Convex-Cocompact Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta
Functions.” ArXiv:2308.13463, 2023.
ieee: P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions,” arXiv:2308.13463.
2023.
mla: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact
Hyperbolic Surfaces -- A Numerical Algorithm via Weighted Zeta Functions.” ArXiv:2308.13463,
2023.
short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
date_created: 2024-02-06T20:58:35Z
date_updated: 2024-02-11T19:56:01Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
arxiv:
- '2308.13463'
language:
- iso: eng
publication: arXiv:2308.13463
status: public
title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces --
A Numerical Algorithm via Weighted Zeta Functions
type: preprint
user_id: '49178'
year: '2023'
...
---
_id: '51207'
abstract:
- lang: eng
text: "Let $X=X_1\\times X_2$ be a product of two rank one symmetric spaces of\r\nnon-compact
type and $\\Gamma$ a torsion-free discrete subgroup in $G_1\\times\r\nG_2$. We
show that the spectrum of $\\Gamma \\backslash X$ is related to the\r\nasymptotic
growth of $\\Gamma$ in the two direction defined by the two factors.\r\nWe obtain
that $L^2(\\Gamma \\backslash G)$ is tempered for large class of\r\n$\\Gamma$."
author:
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: 'Weich T, Wolf LL. Temperedness of locally symmetric spaces: The product case.
arXiv:230409573. Published online 2023.'
apa: 'Weich, T., & Wolf, L. L. (2023). Temperedness of locally symmetric spaces:
The product case. In arXiv:2304.09573.'
bibtex: '@article{Weich_Wolf_2023, title={Temperedness of locally symmetric spaces:
The product case}, journal={arXiv:2304.09573}, author={Weich, Tobias and Wolf,
Lasse Lennart}, year={2023} }'
chicago: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric
Spaces: The Product Case.” ArXiv:2304.09573, 2023.'
ieee: 'T. Weich and L. L. Wolf, “Temperedness of locally symmetric spaces: The product
case,” arXiv:2304.09573. 2023.'
mla: 'Weich, Tobias, and Lasse Lennart Wolf. “Temperedness of Locally Symmetric
Spaces: The Product Case.” ArXiv:2304.09573, 2023.'
short: T. Weich, L.L. Wolf, ArXiv:2304.09573 (2023).
date_created: 2024-02-06T21:00:55Z
date_updated: 2024-02-11T19:55:58Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
arxiv:
- '2304.09573'
language:
- iso: eng
publication: arXiv:2304.09573
status: public
title: 'Temperedness of locally symmetric spaces: The product case'
type: preprint
user_id: '49178'
year: '2023'
...
---
_id: '51351'
author:
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Steffen E, Wolf IH. Bounds for the chromatic index of signed multigraphs. Discrete
Applied Mathematics. 2023;337:185-189. doi:10.1016/j.dam.2023.05.008
apa: Steffen, E., & Wolf, I. H. (2023). Bounds for the chromatic index of signed
multigraphs. Discrete Applied Mathematics, 337, 185–189. https://doi.org/10.1016/j.dam.2023.05.008
bibtex: '@article{Steffen_Wolf_2023, title={Bounds for the chromatic index of signed
multigraphs}, volume={337}, DOI={10.1016/j.dam.2023.05.008},
journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Steffen,
Eckhard and Wolf, Isaak Hieronymus}, year={2023}, pages={185–189} }'
chicago: 'Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic
Index of Signed Multigraphs.” Discrete Applied Mathematics 337 (2023):
185–89. https://doi.org/10.1016/j.dam.2023.05.008.'
ieee: 'E. Steffen and I. H. Wolf, “Bounds for the chromatic index of signed multigraphs,”
Discrete Applied Mathematics, vol. 337, pp. 185–189, 2023, doi: 10.1016/j.dam.2023.05.008.'
mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Bounds for the Chromatic Index
of Signed Multigraphs.” Discrete Applied Mathematics, vol. 337, Elsevier
BV, 2023, pp. 185–89, doi:10.1016/j.dam.2023.05.008.
short: E. Steffen, I.H. Wolf, Discrete Applied Mathematics 337 (2023) 185–189.
date_created: 2024-02-14T17:33:29Z
date_updated: 2024-02-14T17:33:59Z
department:
- _id: '542'
doi: 10.1016/j.dam.2023.05.008
intvolume: ' 337'
keyword:
- Applied Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 185-189
publication: Discrete Applied Mathematics
publication_identifier:
issn:
- 0166-218X
publication_status: published
publisher: Elsevier BV
status: public
title: Bounds for the chromatic index of signed multigraphs
type: journal_article
user_id: '15540'
volume: 337
year: '2023'
...
---
_id: '45190'
author:
- first_name: Chiara
full_name: Cappello, Chiara
id: '72874'
last_name: Cappello
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: 'Cappello C, Steffen E. Graph-Theoretical Models for the Analysis and Design
of Socio-Technical Networks. In: The Digital Twin of Humans. Springer International
Publishing; 2023:93--110. doi:10.1007/978-3-031-26104-6_5'
apa: Cappello, C., & Steffen, E. (2023). Graph-Theoretical Models for the Analysis
and Design of Socio-Technical Networks. In The Digital Twin of Humans (pp.
93--110). Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6_5
bibtex: '@inbook{Cappello_Steffen_2023, place={Cham}, title={Graph-Theoretical Models
for the Analysis and Design of Socio-Technical Networks}, DOI={10.1007/978-3-031-26104-6_5},
booktitle={The Digital Twin of Humans}, publisher={Springer International Publishing},
author={Cappello, Chiara and Steffen, Eckhard}, year={2023}, pages={93--110} }'
chicago: 'Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the
Analysis and Design of Socio-Technical Networks.” In The Digital Twin of Humans,
93--110. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6_5.'
ieee: 'C. Cappello and E. Steffen, “Graph-Theoretical Models for the Analysis and
Design of Socio-Technical Networks,” in The Digital Twin of Humans, Cham:
Springer International Publishing, 2023, pp. 93--110.'
mla: Cappello, Chiara, and Eckhard Steffen. “Graph-Theoretical Models for the Analysis
and Design of Socio-Technical Networks.” The Digital Twin of Humans, Springer
International Publishing, 2023, pp. 93--110, doi:10.1007/978-3-031-26104-6_5.
short: 'C. Cappello, E. Steffen, in: The Digital Twin of Humans, Springer International
Publishing, Cham, 2023, pp. 93--110.'
date_created: 2023-05-22T10:22:21Z
date_updated: 2024-02-16T07:42:38Z
department:
- _id: '542'
doi: 10.1007/978-3-031-26104-6_5
language:
- iso: eng
page: 93--110
place: Cham
publication: The Digital Twin of Humans
publication_identifier:
isbn:
- '9783031261039'
- '9783031261046'
publication_status: published
publisher: Springer International Publishing
status: public
title: Graph-Theoretical Models for the Analysis and Design of Socio-Technical Networks
type: book_chapter
user_id: '15540'
year: '2023'
...
---
_id: '51357'
article_number: '113457'
author:
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Steffen E, Wolf IH. Rotation r-graphs. Discrete Mathematics. Published
online 2023. doi:10.1016/j.disc.2023.113457
apa: Steffen, E., & Wolf, I. H. (2023). Rotation r-graphs. Discrete Mathematics,
Article 113457. https://doi.org/10.1016/j.disc.2023.113457
bibtex: '@article{Steffen_Wolf_2023, title={Rotation r-graphs}, DOI={10.1016/j.disc.2023.113457},
number={113457}, journal={Discrete Mathematics}, publisher={Elsevier BV}, author={Steffen,
Eckhard and Wolf, Isaak Hieronymus}, year={2023} }'
chicago: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete
Mathematics, 2023. https://doi.org/10.1016/j.disc.2023.113457.
ieee: 'E. Steffen and I. H. Wolf, “Rotation r-graphs,” Discrete Mathematics,
Art. no. 113457, 2023, doi: 10.1016/j.disc.2023.113457.'
mla: Steffen, Eckhard, and Isaak Hieronymus Wolf. “Rotation R-Graphs.” Discrete
Mathematics, 113457, Elsevier BV, 2023, doi:10.1016/j.disc.2023.113457.
short: E. Steffen, I.H. Wolf, Discrete Mathematics (2023).
date_created: 2024-02-16T08:44:50Z
date_updated: 2024-02-16T08:45:10Z
department:
- _id: '542'
doi: 10.1016/j.disc.2023.113457
keyword:
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science
language:
- iso: eng
publication: Discrete Mathematics
publication_identifier:
issn:
- 0012-365X
publication_status: published
publisher: Elsevier BV
status: public
title: Rotation r-graphs
type: journal_article
user_id: '15540'
year: '2023'
...
---
_id: '51375'
abstract:
- lang: eng
text: "We consider the quantum dynamics of a many-fermion system in $\\mathbb R^d$\r\nwith
an ultraviolet regularized pair interaction as previously studied in [M.\r\nGebert,
B. Nachtergaele, J. Reschke, and R. Sims, Ann. Henri Poincar\\'e 21.11\r\n(2020)].
We provide a Lieb-Robinson bound under substantially relaxed\r\nassumptions on
the potentials. We also improve the associated one-body\r\nLieb-Robinson bound
on $L^2$-overlaps to an almost ballistic one (i.e., an\r\nalmost linear light
cone) under the same relaxed assumptions. Applications\r\ninclude the existence
of the infinite-volume dynamics and clustering of ground\r\nstates in the presence
of a spectral gap. We also develop a fermionic continuum\r\nnotion of conditional
expectation and use it to approximate time-evolved\r\nfermionic observables by
local ones, which opens the door to other applications\r\nof the Lieb-Robinson
bounds."
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Marius
full_name: Lemm, Marius
last_name: Lemm
- first_name: Oliver
full_name: Siebert, Oliver
last_name: Siebert
citation:
ama: Hinrichs B, Lemm M, Siebert O. On Lieb-Robinson bounds for a class of continuum
fermions. arXiv:231017736. Published online 2023.
apa: Hinrichs, B., Lemm, M., & Siebert, O. (2023). On Lieb-Robinson bounds for
a class of continuum fermions. In arXiv:2310.17736.
bibtex: '@article{Hinrichs_Lemm_Siebert_2023, title={On Lieb-Robinson bounds for
a class of continuum fermions}, journal={arXiv:2310.17736}, author={Hinrichs,
Benjamin and Lemm, Marius and Siebert, Oliver}, year={2023} }'
chicago: Hinrichs, Benjamin, Marius Lemm, and Oliver Siebert. “On Lieb-Robinson
Bounds for a Class of Continuum Fermions.” ArXiv:2310.17736, 2023.
ieee: B. Hinrichs, M. Lemm, and O. Siebert, “On Lieb-Robinson bounds for a class
of continuum fermions,” arXiv:2310.17736. 2023.
mla: Hinrichs, Benjamin, et al. “On Lieb-Robinson Bounds for a Class of Continuum
Fermions.” ArXiv:2310.17736, 2023.
short: B. Hinrichs, M. Lemm, O. Siebert, ArXiv:2310.17736 (2023).
date_created: 2024-02-18T12:33:21Z
date_updated: 2024-02-18T12:34:43Z
department:
- _id: '799'
external_id:
arxiv:
- '2310.17736'
language:
- iso: eng
project:
- _id: '266'
grant_number: PROFILNRW-2020-067
name: 'PhoQC: PhoQC: Photonisches Quantencomputing'
publication: arXiv:2310.17736
status: public
title: On Lieb-Robinson bounds for a class of continuum fermions
type: preprint
user_id: '99427'
year: '2023'
...
---
_id: '51376'
abstract:
- lang: eng
text: "In the Bogoliubov-Fr\\\"ohlich model, we prove that an impurity immersed
in a\r\nBose-Einstein condensate forms a stable quasi-particle when the total
momentum\r\nis less than its mass times the speed of sound. The system thus exhibits\r\nsuperfluid
behavior, as this quasi-particle does not experience friction. We do\r\nnot assume
any infrared or ultraviolet regularization of the model, which\r\ncontains massless
excitations and point-like interactions."
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
citation:
ama: Hinrichs B, Lampart J. A Lower Bound on the Critical Momentum of an Impurity
in a Bose-Einstein Condensate. arXiv:231105361. Published online 2023.
apa: Hinrichs, B., & Lampart, J. (2023). A Lower Bound on the Critical Momentum
of an Impurity in a Bose-Einstein Condensate. In arXiv:2311.05361.
bibtex: '@article{Hinrichs_Lampart_2023, title={A Lower Bound on the Critical Momentum
of an Impurity in a Bose-Einstein Condensate}, journal={arXiv:2311.05361}, author={Hinrichs,
Benjamin and Lampart, Jonas}, year={2023} }'
chicago: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum
of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023.
ieee: B. Hinrichs and J. Lampart, “A Lower Bound on the Critical Momentum of an
Impurity in a Bose-Einstein Condensate,” arXiv:2311.05361. 2023.
mla: Hinrichs, Benjamin, and Jonas Lampart. “A Lower Bound on the Critical Momentum
of an Impurity in a Bose-Einstein Condensate.” ArXiv:2311.05361, 2023.
short: B. Hinrichs, J. Lampart, ArXiv:2311.05361 (2023).
date_created: 2024-02-18T12:33:48Z
date_updated: 2024-02-18T12:34:22Z
department:
- _id: '799'
external_id:
arxiv:
- '2311.05361'
language:
- iso: eng
project:
- _id: '266'
grant_number: PROFILNRW-2020-067
name: 'PhoQC: PhoQC: Photonisches Quantencomputing'
publication: arXiv:2311.05361
status: public
title: A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
type: preprint
user_id: '99427'
year: '2023'
...
---
_id: '31190'
abstract:
- lang: eng
text: "For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$
of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor
the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting
function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich
is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved
by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between
horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions
of the algebra of invariant differential\r\noperators on $G/K$."
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
full_name: Wolf, Lasse Lennart
id: '45027'
last_name: Wolf
citation:
ama: Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence.
Analysis & PDE. 2023;16(10):2241–2265.
apa: Hilgert, J., Weich, T., & Wolf, L. L. (2023). Higher rank quantum-classical
correspondence. Analysis & PDE, 16(10), 2241–2265.
bibtex: '@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical
correspondence}, volume={16}, number={10}, journal={Analysis & PDE}, publisher={MSP},
author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023},
pages={2241–2265} }'
chicago: 'Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical
Correspondence.” Analysis & PDE 16, no. 10 (2023): 2241–2265.'
ieee: J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,”
Analysis & PDE, vol. 16, no. 10, pp. 2241–2265, 2023.
mla: Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” Analysis
& PDE, vol. 16, no. 10, MSP, 2023, pp. 2241–2265.
short: J. Hilgert, T. Weich, L.L. Wolf, Analysis & PDE 16 (2023) 2241–2265.
date_created: 2022-05-11T10:41:35Z
date_updated: 2024-02-19T06:29:52Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
external_id:
arxiv:
- '2103.05667'
intvolume: ' 16'
issue: '10'
language:
- iso: eng
page: 2241–2265
publication: Analysis & PDE
publisher: MSP
status: public
title: Higher rank quantum-classical correspondence
type: journal_article
user_id: '49063'
volume: 16
year: '2023'
...
---
_id: '51205'
abstract:
- lang: eng
text: "We compare the spectral properties of two kinds of linear operators\r\ncharacterizing
the (classical) geodesic flow and its quantization on connected\r\nlocally finite
graphs without dead ends. The first kind are transfer operators\r\nacting on vector
spaces associated with the set of non backtracking paths in\r\nthe graphs. The
second kind of operators are averaging operators acting on\r\nvector spaces associated
with the space of vertices of the graph. The choice of\r\nvector spaces reflects
regularity properties. Our main results are\r\ncorrespondences between classical
and quantum spectral objects as well as some\r\nautomatic regularity properties
for eigenfunctions of transfer operators."
author:
- first_name: Kai-Uwe
full_name: Bux, Kai-Uwe
last_name: Bux
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Bux K-U, Hilgert J, Weich T. Spectral correspondences for finite graphs without
dead ends. arXiv:230710876. Published online 2023.
apa: Bux, K.-U., Hilgert, J., & Weich, T. (2023). Spectral correspondences for
finite graphs without dead ends. In arXiv:2307.10876.
bibtex: '@article{Bux_Hilgert_Weich_2023, title={Spectral correspondences for finite
graphs without dead ends}, journal={arXiv:2307.10876}, author={Bux, Kai-Uwe and
Hilgert, Joachim and Weich, Tobias}, year={2023} }'
chicago: Bux, Kai-Uwe, Joachim Hilgert, and Tobias Weich. “Spectral Correspondences
for Finite Graphs without Dead Ends.” ArXiv:2307.10876, 2023.
ieee: K.-U. Bux, J. Hilgert, and T. Weich, “Spectral correspondences for finite
graphs without dead ends,” arXiv:2307.10876. 2023.
mla: Bux, Kai-Uwe, et al. “Spectral Correspondences for Finite Graphs without Dead
Ends.” ArXiv:2307.10876, 2023.
short: K.-U. Bux, J. Hilgert, T. Weich, ArXiv:2307.10876 (2023).
date_created: 2024-02-06T20:54:28Z
date_updated: 2024-02-19T06:29:24Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
- _id: '91'
external_id:
arxiv:
- '2307.10876'
language:
- iso: eng
publication: arXiv:2307.10876
status: public
title: Spectral correspondences for finite graphs without dead ends
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '31210'
abstract:
- lang: eng
text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank
one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances
of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio
and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou
for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral
rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset
of exceptional spectral parameters always left untreated since the\r\ncorresponding
Poisson transforms are neither injective nor surjective. We use\r\nvector valued
Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces
the exceptional spectral parameters lead to discrete\r\nseries representations
of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more
complicated, but can be described completely."
author:
- first_name: Christian
full_name: Arends, Christian
id: '43994'
last_name: Arends
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric
spaces: the case of exceptional parameters. Journal de l’École polytechnique
— Mathématiques. 2023;10:335-403. doi:10.5802/jep.220'
apa: 'Arends, C., & Hilgert, J. (2023). Spectral correspondences for rank one
locally symmetric spaces: the case of exceptional parameters. Journal de l’École
Polytechnique — Mathématiques, 10, 335–403. https://doi.org/10.5802/jep.220'
bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank
one locally symmetric spaces: the case of exceptional parameters}, volume={10},
DOI={10.5802/jep.220}, journal={Journal
de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert,
Joachim}, year={2023}, pages={335–403} }'
chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for
Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques 10 (2023): 335–403. https://doi.org/10.5802/jep.220.'
ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally
symmetric spaces: the case of exceptional parameters,” Journal de l’École polytechnique
— Mathématiques, vol. 10, pp. 335–403, 2023, doi: 10.5802/jep.220.'
mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank
One Locally Symmetric Spaces: The Case of Exceptional Parameters.” Journal
de l’École Polytechnique — Mathématiques, vol. 10, 2023, pp. 335–403, doi:10.5802/jep.220.'
short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10
(2023) 335–403.
date_created: 2022-05-11T12:27:00Z
date_updated: 2024-02-19T06:30:26Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: 10.5802/jep.220
external_id:
arxiv:
- '2112.11073'
intvolume: ' 10'
keyword:
- Ruelle resonances
- Poisson transforms
- locally symmetric spaces
- principal series representations
language:
- iso: eng
page: 335-403
publication: Journal de l’École polytechnique — Mathématiques
publication_identifier:
eissn:
- 2270-518X
issn:
- 2429-7100
publication_status: published
status: public
title: 'Spectral correspondences for rank one locally symmetric spaces: the case of
exceptional parameters'
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '51383'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
citation:
ama: Hilgert J, Arends C. Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters. J de l’École polytechnique — Mathématiques.
2023;10:335-403.
apa: Hilgert, J., & Arends, C. (2023). Spectral correspondences for rank one
locally symmetric spaces - The case of exceptional parameters. J. de l’École
Polytechnique — Mathématiques, 10, 335–403.
bibtex: '@article{Hilgert_Arends_2023, title={Spectral correspondences for rank
one locally symmetric spaces - The case of exceptional parameters}, volume={10},
journal={J. de l’École polytechnique — Mathématiques}, author={Hilgert, Joachim
and Arends, C.}, year={2023}, pages={335–403} }'
chicago: 'Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One
Locally Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École
Polytechnique — Mathématiques 10 (2023): 335–403.'
ieee: J. Hilgert and C. Arends, “Spectral correspondences for rank one locally symmetric
spaces - The case of exceptional parameters,” J. de l’École polytechnique —
Mathématiques, vol. 10, pp. 335–403, 2023.
mla: Hilgert, Joachim, and C. Arends. “Spectral Correspondences for Rank One Locally
Symmetric Spaces - The Case of Exceptional Parameters.” J. de l’École Polytechnique
— Mathématiques, vol. 10, 2023, pp. 335–403.
short: J. Hilgert, C. Arends, J. de l’École Polytechnique — Mathématiques 10 (2023)
335–403.
date_created: 2024-02-19T06:34:11Z
date_updated: 2024-02-19T06:34:16Z
department:
- _id: '91'
intvolume: ' 10'
language:
- iso: eng
page: 335-403
publication: J. de l'École polytechnique — Mathématiques
publication_status: published
status: public
title: Spectral correspondences for rank one locally symmetric spaces - The case of
exceptional parameters
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '51384'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: H.
full_name: Glöckner, H.
last_name: Glöckner
citation:
ama: Hilgert J, Glöckner H. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. J Diff Equations. 2023;343:186-232.
apa: Hilgert, J., & Glöckner, H. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. J. Diff. Equations, 343, 186–232.
bibtex: '@article{Hilgert_Glöckner_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, journal={J. Diff. Equations}, author={Hilgert,
Joachim and Glöckner, H.}, year={2023}, pages={186–232} }'
chicago: 'Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations 343 (2023): 186–232.'
ieee: J. Hilgert and H. Glöckner, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” J. Diff. Equations, vol. 343, pp. 186–232,
2023.
mla: Hilgert, Joachim, and H. Glöckner. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” J. Diff. Equations, vol. 343, 2023, pp. 186–232.
short: J. Hilgert, H. Glöckner, J. Diff. Equations 343 (2023) 186–232.
date_created: 2024-02-19T06:35:08Z
date_updated: 2024-02-19T06:35:13Z
department:
- _id: '91'
intvolume: ' 343'
language:
- iso: eng
page: 186-232
publication: J. Diff. Equations
publication_status: published
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '49063'
volume: 343
year: '2023'
...
---
_id: '51499'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
- first_name: J.
full_name: Frahm, J.
last_name: Frahm
citation:
ama: Hilgert J, Arends C, Frahm J. A pairing formula for resonant states on finite
regular graphs. Published online 2023.
apa: Hilgert, J., Arends, C., & Frahm, J. (2023). A pairing formula for resonant
states on finite regular graphs.
bibtex: '@article{Hilgert_Arends_Frahm_2023, title={A pairing formula for resonant
states on finite regular graphs}, author={Hilgert, Joachim and Arends, C. and
Frahm, J.}, year={2023} }'
chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “A Pairing Formula for Resonant
States on Finite Regular Graphs,” 2023.
ieee: J. Hilgert, C. Arends, and J. Frahm, “A pairing formula for resonant states
on finite regular graphs.” 2023.
mla: Hilgert, Joachim, et al. A Pairing Formula for Resonant States on Finite
Regular Graphs. 2023.
short: J. Hilgert, C. Arends, J. Frahm, (2023).
date_created: 2024-02-19T10:30:18Z
date_updated: 2024-02-19T10:31:18Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2312.10509.pdf
oa: '1'
publication_status: published
status: public
title: A pairing formula for resonant states on finite regular graphs
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51500'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: C.
full_name: Arends, C.
last_name: Arends
- first_name: J.
full_name: Frahm, J.
last_name: Frahm
citation:
ama: Hilgert J, Arends C, Frahm J. Edge Laplacians and vector valued Poisson transforms
for graphs. Published online 2023.
apa: Hilgert, J., Arends, C., & Frahm, J. (2023). Edge Laplacians and vector
valued Poisson transforms for graphs.
bibtex: '@article{Hilgert_Arends_Frahm_2023, title={Edge Laplacians and vector valued
Poisson transforms for graphs}, author={Hilgert, Joachim and Arends, C. and Frahm,
J.}, year={2023} }'
chicago: Hilgert, Joachim, C. Arends, and J. Frahm. “Edge Laplacians and Vector
Valued Poisson Transforms for Graphs,” 2023.
ieee: J. Hilgert, C. Arends, and J. Frahm, “Edge Laplacians and vector valued Poisson
transforms for graphs.” 2023.
mla: Hilgert, Joachim, et al. Edge Laplacians and Vector Valued Poisson Transforms
for Graphs. 2023.
short: J. Hilgert, C. Arends, J. Frahm, (2023).
date_created: 2024-02-19T10:31:14Z
date_updated: 2024-02-19T10:31:18Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2312.09101.pdf
oa: '1'
publication_status: published
status: public
title: Edge Laplacians and vector valued Poisson transforms for graphs
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51502'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: T.
full_name: Baier, T.
last_name: Baier
- first_name: O.
full_name: Kaya, O.
last_name: Kaya
- first_name: J.
full_name: Mourao, J.
last_name: Mourao
- first_name: J.
full_name: Nunes, J.
last_name: Nunes
citation:
ama: Hilgert J, Baier T, Kaya O, Mourao J, Nunes J. Quantization in fibering polarizations,
Mabuchi rays and geometric Peter--Weyl theorem. Published online 2023.
apa: Hilgert, J., Baier, T., Kaya, O., Mourao, J., & Nunes, J. (2023). Quantization
in fibering polarizations, Mabuchi rays and geometric Peter--Weyl theorem.
bibtex: '@article{Hilgert_Baier_Kaya_Mourao_Nunes_2023, title={Quantization in fibering
polarizations, Mabuchi rays and geometric Peter--Weyl theorem}, author={Hilgert,
Joachim and Baier, T. and Kaya, O. and Mourao, J. and Nunes, J.}, year={2023}
}'
chicago: Hilgert, Joachim, T. Baier, O. Kaya, J. Mourao, and J. Nunes. “Quantization
in Fibering Polarizations, Mabuchi Rays and Geometric Peter--Weyl Theorem,” 2023.
ieee: J. Hilgert, T. Baier, O. Kaya, J. Mourao, and J. Nunes, “Quantization in fibering
polarizations, Mabuchi rays and geometric Peter--Weyl theorem.” 2023.
mla: Hilgert, Joachim, et al. Quantization in Fibering Polarizations, Mabuchi
Rays and Geometric Peter--Weyl Theorem. 2023.
short: J. Hilgert, T. Baier, O. Kaya, J. Mourao, J. Nunes, (2023).
date_created: 2024-02-19T10:33:16Z
date_updated: 2024-02-19T10:33:20Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2301.10853.pdf
oa: '1'
publication_status: published
status: public
title: Quantization in fibering polarizations, Mabuchi rays and geometric Peter--Weyl
theorem
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '51521'
author:
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Y.
full_name: Guedes Bonthonneau, Y.
last_name: Guedes Bonthonneau
- first_name: C.
full_name: Guillarmou, C.
last_name: Guillarmou
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Hilgert J, Guedes Bonthonneau Y, Guillarmou C, Weich T. Ruelle-Taylor resonances
of Anosov actions. Published online 2023.
apa: Hilgert, J., Guedes Bonthonneau, Y., Guillarmou, C., & Weich, T. (2023).
Ruelle-Taylor resonances of Anosov actions.
bibtex: '@article{Hilgert_Guedes Bonthonneau_Guillarmou_Weich_2023, title={Ruelle-Taylor
resonances of Anosov actions}, author={Hilgert, Joachim and Guedes Bonthonneau,
Y. and Guillarmou, C. and Weich, Tobias}, year={2023} }'
chicago: Hilgert, Joachim, Y. Guedes Bonthonneau, C. Guillarmou, and Tobias Weich.
“Ruelle-Taylor Resonances of Anosov Actions,” 2023.
ieee: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, and T. Weich, “Ruelle-Taylor
resonances of Anosov actions.” 2023.
mla: Hilgert, Joachim, et al. Ruelle-Taylor Resonances of Anosov Actions.
2023.
short: J. Hilgert, Y. Guedes Bonthonneau, C. Guillarmou, T. Weich, (2023).
date_created: 2024-02-20T08:20:13Z
date_updated: 2024-02-20T08:20:16Z
department:
- _id: '91'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2007.14275.pdf
oa: '1'
publication_status: published
status: public
title: Ruelle-Taylor resonances of Anosov actions
type: preprint
user_id: '49063'
year: '2023'
...
---
_id: '32447'
abstract:
- lang: eng
text: 'We present a new gradient-like dynamical system related to unconstrained
convex smooth multiobjective optimization which involves inertial effects and
asymptotic vanishing damping. To the best of our knowledge, this system is the
first inertial gradient-like system for multiobjective optimization problems including
asymptotic vanishing damping, expanding the ideas laid out in [H. Attouch and
G. Garrigos, Multiobjective optimization: an inertial approach to Pareto optima,
preprint, arXiv:1506.02823, 201]. We prove existence of solutions to this system
in finite dimensions and further prove that its bounded solutions converge weakly
to weakly Pareto optimal points. In addition, we obtain a convergence rate of
order O(t−2) for the function values measured with a merit function. This approach
presents a good basis for the development of fast gradient methods for multiobjective
optimization.'
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Sonntag K, Peitz S. Fast Convergence of Inertial Multiobjective Gradient-like
Systems with Asymptotic Vanishing Damping. arXiv:230700975. Published online
2023.
apa: Sonntag, K., & Peitz, S. (2023). Fast Convergence of Inertial Multiobjective
Gradient-like Systems with Asymptotic Vanishing Damping. In arXiv:2307.00975.
bibtex: '@article{Sonntag_Peitz_2023, title={Fast Convergence of Inertial Multiobjective
Gradient-like Systems with Asymptotic Vanishing Damping}, journal={arXiv:2307.00975},
author={Sonntag, Konstantin and Peitz, Sebastian}, year={2023} }'
chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial
Multiobjective Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975,
2023.
ieee: K. Sonntag and S. Peitz, “Fast Convergence of Inertial Multiobjective Gradient-like
Systems with Asymptotic Vanishing Damping,” arXiv:2307.00975. 2023.
mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Convergence of Inertial Multiobjective
Gradient-like Systems with Asymptotic Vanishing Damping.” ArXiv:2307.00975,
2023.
short: K. Sonntag, S. Peitz, ArXiv:2307.00975 (2023).
date_created: 2022-07-28T11:53:02Z
date_updated: 2024-02-21T10:15:33Z
department:
- _id: '101'
- _id: '655'
external_id:
arxiv:
- '2307.00975'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2307.00975.pdf
oa: '1'
publication: arXiv:2307.00975
status: public
title: Fast Convergence of Inertial Multiobjective Gradient-like Systems with Asymptotic
Vanishing Damping
type: preprint
user_id: '56399'
year: '2023'
...
---
_id: '46578'
abstract:
- lang: eng
text: 'Multiobjective optimization plays an increasingly important role in modern
applications, where several criteria are often of equal importance. The task in
multiobjective optimization and multiobjective optimal control is therefore to
compute the set of optimal compromises (the Pareto set) between the conflicting
objectives. The advances in algorithms and the increasing interest in Pareto-optimal
solutions have led to a wide range of new applications related to optimal and
feedback control - potentially with non-smoothness both on the level of the objectives
or in the system dynamics. This results in new challenges such as dealing with
expensive models (e.g., governed by partial differential equations (PDEs)) and
developing dedicated algorithms handling the non-smoothness. Since in contrast
to single-objective optimization, the Pareto set generally consists of an infinite
number of solutions, the computational effort can quickly become challenging,
which is particularly problematic when the objectives are costly to evaluate or
when a solution has to be presented very quickly. This article gives an overview
of recent developments in the field of multiobjective optimization of non-smooth
PDE-constrained problems. In particular we report on the advances achieved within
Project 2 "Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
- Switches, State Constraints and Model Order Reduction" of the DFG Priority Programm
1962 "Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation
and Hierarchical Optimization".'
author:
- first_name: Marco
full_name: Bernreuther, Marco
last_name: Bernreuther
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Georg
full_name: Müller, Georg
last_name: Müller
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of
Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online
2023.
apa: Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag,
K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems. In arXiv:2308.01113.
bibtex: '@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023,
title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113},
author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller,
Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023}
}'
chicago: Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian
Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of
Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023.
ieee: M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems,” arXiv:2308.01113. 2023.
mla: Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained
Problems.” ArXiv:2308.01113, 2023.
short: M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag,
S. Volkwein, ArXiv:2308.01113 (2023).
date_created: 2023-08-21T05:50:12Z
date_updated: 2024-02-21T12:22:20Z
department:
- _id: '655'
- _id: '101'
external_id:
arxiv:
- '2308.01113'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2308.01113
oa: '1'
publication: arXiv:2308.01113
status: public
title: Multiobjective Optimization of Non-Smooth PDE-Constrained Problems
type: preprint
user_id: '47427'
year: '2023'
...
---
_id: '34803'
article_number: '50'
author:
- first_name: Elena
full_name: Celledoni, Elena
last_name: Celledoni
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Jørgen
full_name: Riseth, Jørgen
last_name: Riseth
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
citation:
ama: Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism
groups for optimal shape reparametrization. BIT Numerical Mathematics.
2023;63. doi:10.1007/s10543-023-00989-05
apa: Celledoni, E., Glöckner, H., Riseth, J., & Schmeding, A. (2023). Deep neural
networks on diffeomorphism groups for optimal shape reparametrization. BIT
Numerical Mathematics, 63, Article 50. https://doi.org/10.1007/s10543-023-00989-05
bibtex: '@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks
on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={10.1007/s10543-023-00989-05},
number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni,
Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023}
}'
chicago: Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding.
“Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.”
BIT Numerical Mathematics 63 (2023). https://doi.org/10.1007/s10543-023-00989-05.
ieee: 'E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks
on diffeomorphism groups for optimal shape reparametrization,” BIT Numerical
Mathematics, vol. 63, Art. no. 50, 2023, doi: 10.1007/s10543-023-00989-05.'
mla: Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for
Optimal Shape Reparametrization.” BIT Numerical Mathematics, vol. 63, 50,
Springer, 2023, doi:10.1007/s10543-023-00989-05.
short: E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics
63 (2023).
date_created: 2022-12-22T07:37:20Z
date_updated: 2024-03-22T15:53:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10543-023-00989-05
external_id:
arxiv:
- '2207.11141'
intvolume: ' 63'
language:
- iso: eng
publication: BIT Numerical Mathematics
publisher: Springer
status: public
title: Deep neural networks on diffeomorphism groups for optimal shape reparametrization
type: journal_article
user_id: '178'
volume: 63
year: '2023'
...
---
_id: '34793'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie
groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232.
doi:10.1016/j.jde.2022.10.001
apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds. Journal of Differential Equations, 343,
186–232. https://doi.org/10.1016/j.jde.2022.10.001
bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001},
journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert,
Joachim}, year={2023}, pages={186–232} }'
chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023):
186–232. https://doi.org/10.1016/j.jde.2022.10.001.'
ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional
Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343,
pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.'
mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343,
2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001.
short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
date_created: 2022-12-21T19:31:13Z
date_updated: 2024-03-22T16:02:32Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
- _id: '91'
doi: 10.1016/j.jde.2022.10.001
external_id:
arxiv:
- '2007.11277'
intvolume: ' 343'
keyword:
- '22E65'
- 28B05
- 34A12
- 34H05
- '46E30'
- '46E40'
language:
- iso: eng
page: 186–232
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
quality_controlled: '1'
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '178'
volume: 343
year: '2023'
...
---
_id: '34805'
abstract:
- lang: eng
text: "Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be
a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms
of $M$ into a regular Lie group."
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Diffeomorphism groups of convex polytopes. Journal of Convex
Analysis. 2023;30(1):343-358.
apa: Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. Journal
of Convex Analysis, 30(1), 343–358.
bibtex: '@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes},
volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann},
author={Glöckner, Helge}, year={2023}, pages={343–358} }'
chicago: 'Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal
of Convex Analysis 30, no. 1 (2023): 343–58.'
ieee: H. Glöckner, “Diffeomorphism groups of convex polytopes,” Journal of Convex
Analysis, vol. 30, no. 1, pp. 343–358, 2023.
mla: Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” Journal of
Convex Analysis, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.
short: H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.
date_created: 2022-12-22T07:45:13Z
date_updated: 2024-03-22T16:07:00Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- '2203.09285'
intvolume: ' 30'
issue: '1'
language:
- iso: eng
page: 343-358
publication: Journal of Convex Analysis
publisher: Heldermann
status: public
title: Diffeomorphism groups of convex polytopes
type: journal_article
user_id: '178'
volume: 30
year: '2023'
...
---
_id: '34801'
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Luis
full_name: Tárrega, Luis
last_name: Tárrega
citation:
ama: Glöckner H, Tárrega L. Mapping groups associated with real-valued function
spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory.
2023;33(1):271-296.
apa: Glöckner, H., & Tárrega, L. (2023). Mapping groups associated with real-valued
function spaces and direct limits of Sobolev-Lie groups . Journal of Lie Theory,
33(1), 271–296.
bibtex: '@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued
function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1},
journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge
and Tárrega, Luis}, year={2023}, pages={271–296} }'
chicago: 'Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory
33, no. 1 (2023): 271–96.'
ieee: H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function
spaces and direct limits of Sobolev-Lie groups ,” Journal of Lie Theory,
vol. 33, no. 1, pp. 271–296, 2023.
mla: Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
Function Spaces and Direct Limits of Sobolev-Lie Groups .” Journal of Lie Theory,
vol. 33, no. 1, Heldermann, 2023, pp. 271–96.
short: H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.
date_created: 2022-12-22T07:23:57Z
date_updated: 2024-03-22T16:07:34Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- '2210.01246'
intvolume: ' 33'
issue: '1'
language:
- iso: eng
page: 271-296
publication: Journal of Lie Theory
publisher: Heldermann
status: public
title: 'Mapping groups associated with real-valued function spaces and direct limits
of Sobolev-Lie groups '
type: journal_article
user_id: '178'
volume: 33
year: '2023'
...
---
_id: '45191'
alternative_title:
- An Interdisciplinary Concept of Digital Working Environments in Industry 4.0
citation:
ama: Gräßler I, Maier GW, Steffen E, Roesmann D, eds. The Digital Twin of Humans.
Springer International Publishing; 2023. doi:10.1007/978-3-031-26104-6
apa: Gräßler, I., Maier, G. W., Steffen, E., & Roesmann, D. (Eds.). (2023).
The Digital Twin of Humans. Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6
bibtex: '@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital
Twin of Humans}, DOI={10.1007/978-3-031-26104-6},
publisher={Springer International Publishing}, year={2023} }'
chicago: 'Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann,
eds. The Digital Twin of Humans. Cham: Springer International Publishing,
2023. https://doi.org/10.1007/978-3-031-26104-6.'
ieee: 'I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., The Digital
Twin of Humans. Cham: Springer International Publishing, 2023.'
mla: Gräßler, Iris, et al., editors. The Digital Twin of Humans. Springer
International Publishing, 2023, doi:10.1007/978-3-031-26104-6.
short: I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of
Humans, Springer International Publishing, Cham, 2023.
date_created: 2023-05-22T10:24:10Z
date_updated: 2024-03-25T09:07:55Z
department:
- _id: '542'
- _id: '152'
doi: 10.1007/978-3-031-26104-6
editor:
- first_name: Iris
full_name: Gräßler, Iris
id: '47565'
last_name: Gräßler
orcid: 0000-0001-5765-971X
- first_name: Günter W.
full_name: Maier, Günter W.
last_name: Maier
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Daniel
full_name: Roesmann, Daniel
id: '54680'
last_name: Roesmann
language:
- iso: eng
place: Cham
publication_identifier:
isbn:
- '9783031261039'
- '9783031261046'
publication_status: published
publisher: Springer International Publishing
quality_controlled: '1'
status: public
title: The Digital Twin of Humans
type: book_editor
user_id: '5905'
year: '2023'
...
---
_id: '52806'
author:
- first_name: H.
full_name: Gilbert, H.
last_name: Gilbert
- first_name: M.
full_name: Schürmann, M.
last_name: Schürmann
- first_name: M.
full_name: Liebendörfer, M.
last_name: Liebendörfer
- first_name: D.
full_name: Lawson, D.
last_name: Lawson
- first_name: M.
full_name: Hodds, M.
last_name: Hodds
citation:
ama: 'Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online
mathematics and statistics support: Practitioners’ opinions in Germany and Great
Britain & Ireland. International Journal of Mathematical Education
in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282'
apa: 'Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M.
(2023). Post-pandemic online mathematics and statistics support: Practitioners’
opinions in Germany and Great Britain & Ireland. International Journal
of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282'
bibtex: '@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic
online mathematics and statistics support: Practitioners’ opinions in Germany
and Great Britain & Ireland}, DOI={10.1080/0020739x.2023.2184282},
journal={International Journal of Mathematical Education in Science and Technology},
publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer,
M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }'
chicago: 'Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic
Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany
and Great Britain & Ireland.” International Journal of Mathematical
Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.'
ieee: 'H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic
online mathematics and statistics support: Practitioners’ opinions in Germany
and Great Britain & Ireland,” International Journal of Mathematical
Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.'
mla: 'Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support:
Practitioners’ Opinions in Germany and Great Britain & Ireland.” International
Journal of Mathematical Education in Science and Technology, Informa UK Limited,
2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.'
short: H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International
Journal of Mathematical Education in Science and Technology (2023) 1–26.
date_created: 2024-03-25T10:02:09Z
date_updated: 2024-03-25T10:09:21Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.1080/0020739x.2023.2184282
keyword:
- Applied Mathematics
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 1-26
publication: International Journal of Mathematical Education in Science and Technology
publication_identifier:
issn:
- 0020-739X
- 1464-5211
publication_status: published
publisher: Informa UK Limited
status: public
title: 'Post-pandemic online mathematics and statistics support: Practitioners’ opinions
in Germany and Great Britain & Ireland'
type: journal_article
user_id: '30933'
year: '2023'
...
---
_id: '52811'
author:
- first_name: Rolf
full_name: Biehler, Rolf
last_name: Biehler
- first_name: Dominik
full_name: Guntermann, Dominik
last_name: Guntermann
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
citation:
ama: 'Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität
Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik. Vol 1. WTM; 2023:407–410. doi:10.37626/GA9783959872089.0'
apa: Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter,
S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos.
In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol.
1, pp. 407–410). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster},
title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos},
volume={1}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann,
Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität
Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }'
chicago: 'Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer,
and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt
StudiVEMINTvideos.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfur, 1:407–410. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches
Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum
Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der
Mathematik, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023,
pp. 407–410.'
mla: Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt
StudiVEMINTvideos.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität
Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:10.37626/GA9783959872089.0.
short: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in:
I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022.
56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023,
pp. 407–410.'
date_created: 2024-03-25T10:06:08Z
date_updated: 2024-03-25T10:09:41Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.37626/GA9783959872089.0
editor:
- first_name: IDMI-Primar
full_name: Goethe-Universität Frankfur, IDMI-Primar
last_name: Goethe-Universität Frankfur
intvolume: ' 1'
page: 407–410
place: Münster
publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publication_identifier:
isbn:
- 978-3-95987-208-9
publisher: WTM
status: public
title: Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos
type: book_chapter
user_id: '30933'
volume: 1
year: '2023'
...
---
_id: '52810'
author:
- first_name: Robin
full_name: Göller, Robin
last_name: Göller
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Michael
full_name: Besser, Michael
last_name: Besser
citation:
ama: 'Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer)
Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger
Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium
Am 12 November 2021 Aus Bochum. WTM; 2023:66–80.'
apa: Göller, R., Gildehaus, L., Liebendörfer, M., & Besser, M. (2023). Erfassung
und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender
verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K.
Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik
2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
(pp. 66–80). WTM.
bibtex: '@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung
und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender
verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur
Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium
am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus,
Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and
Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80}
}'
chicago: 'Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser.
“Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender
Verschiedener Mathematikhaltiger Studiengänge.” In Hanse-Kolloquium Zur Hochschuldidaktik
Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November
2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka,
and Thomas Skill, 66–80. Münster: WTM, 2023.'
ieee: 'R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich
(mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener
mathematikhaltiger Studiengänge,” in Hanse-Kolloquium zur Hochschuldidaktik
der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November
2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster:
WTM, 2023, pp. 66–80.'
mla: Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen
Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” Hanse-Kolloquium
Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium
Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023,
pp. 66–80.
short: 'R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M.
Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der
Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021
Aus Bochum, WTM, Münster, 2023, pp. 66–80.'
date_created: 2024-03-25T10:05:57Z
date_updated: 2024-03-25T10:09:46Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
editor:
- first_name: Jörg
full_name: Härterich, Jörg
last_name: Härterich
- first_name: Michael
full_name: Kallweit, Michael
last_name: Kallweit
- first_name: Katrin
full_name: Rolka, Katrin
last_name: Rolka
- first_name: Thomas
full_name: Skill, Thomas
last_name: Skill
page: 66–80
place: Münster
publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge
zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum
publication_identifier:
isbn:
- 978-3-95987-264-5
publisher: WTM
status: public
title: Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender
Studierender verschiedener mathematikhaltiger Studiengänge
type: book_chapter
user_id: '30933'
year: '2023'
...