---
_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'
...
---
_id: '52809'
author:
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten
in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während
der Corona-Pandemie. 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; 2023:91–106.'
apa: Kempen, L., & Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer?
Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden
der Mathematik während der Corona-Pandemie. 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. 91–106). WTM.
bibtex: '@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital -
zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden
der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik
der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November
2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael},
editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas},
year={2023}, pages={91–106} }'
chicago: 'Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu
Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden
Der Mathematik Während Der Corona-Pandemie.” 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, 91–106. Münster: WTM, 2023.'
ieee: 'L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative
Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik
während der Corona-Pandemie,” 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. 91–106.'
mla: Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer?
Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden
Der Mathematik Während Der Corona-Pandemie.” 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. 91–106.
short: 'L. Kempen, M. Liebendörfer, 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. 91–106.'
date_created: 2024-03-25T10:05:42Z
date_updated: 2024-03-25T10:09:51Z
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: 91–106
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: Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und
Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie
type: book_chapter
user_id: '30933'
year: '2023'
...
---
_id: '52813'
author:
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang
mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität
Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung
Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:1177–1180.
doi:10.37626/GA9783959872089.0'
apa: Schlüter, S., & Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden
im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität
Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der
Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 1177–1180). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster
von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen},
volume={2}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer,
Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180}
}'
chicago: 'Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden
Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180.
Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im
Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in Beiträge
zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik
der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM,
2023, pp. 1177–1180.'
mla: Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden
Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2,
WTM, 2023, pp. 1177–1180, doi:10.37626/GA9783959872089.0.
short: 'S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.),
Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für
Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.'
date_created: 2024-03-25T10:06:24Z
date_updated: 2024-03-25T10:09:27Z
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: ' 2'
page: 1177–1180
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: Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im
Kontext konstanter Folgen
type: book_chapter
user_id: '30933'
volume: 2
year: '2023'
...
---
_id: '52812'
author:
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: 'Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos
mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. Beiträge
Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik. Vol 2. WTM; 2023:949–952. doi:10.37626/GA9783959872089.0'
apa: Krämer, S., & Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität
durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur
(Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik (Vol. 2, pp. 949–952). WTM. https://doi.org/10.37626/GA9783959872089.0
bibtex: '@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler
Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={10.37626/GA9783959872089.0},
booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer,
Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952}
}'
chicago: 'Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität
Durch Lernvideos Mit Interaktiven Aufgaben.” In Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.'
ieee: 'S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch
Lernvideos mit interaktiven Aufgaben,” in Beiträge zum Mathematikunterricht
2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol.
2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952.'
mla: Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität
Durch Lernvideos Mit Interaktiven Aufgaben.” Beiträge Zum Mathematikunterricht
2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited
by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:10.37626/GA9783959872089.0.
short: 'S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.),
Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für
Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.'
date_created: 2024-03-25T10:06:16Z
date_updated: 2024-03-25T10:09:35Z
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: ' 2'
page: 949–952
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: Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben
type: book_chapter
user_id: '30933'
volume: 2
year: '2023'
...
---
_id: '52807'
abstract:
- lang: eng
text: Many preservice mathematics teachers lose their motivation during their first
year at university. This phenomenon has been repeatedly described in recent years
but is not yet fully understood. Since motivation may relate to different objects
such as mathematics or teaching, we aim to qualitatively reconstruct different
facets of the central motivational constructs of Situated-Expectancy-Value theory
(intrinsic value, attainment value, utility value, cost, and expectancy of success)
for preservice mathematics teachers. The analysis of longitudinal group interviews
of 14 preservice higher-secondary mathematic teachers from a German university
revealed different objects of motivation (e.g., teaching mathematics, scientific
mathematics, procedural mathematics, or proof-based mathematics) in preservice
teachers' values and expectancy of success. Furthermore, relations between those
values and expectancy of success were identified that played a significant role
in preservice teachers’ motivational development over their first semester (e.g.,
relations of attainment value for scientific mathematics and psychological cost).
Theoretical and practical implications towards a teaching-specific conceptualization
of expectancy of success and values and value interventions are being discussed.
citation:
ama: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university. Published online 2023. doi:10.48489/QUADRANTE.31191
apa: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university. (2023). https://doi.org/10.48489/QUADRANTE.31191
bibtex: '@article{Preservice teachers’ mathematics-related values and expectancy
in the transition from school to university_2023, DOI={10.48489/QUADRANTE.31191},
year={2023} }'
chicago: “Preservice Teachers’ Mathematics-Related Values and Expectancy in the
Transition from School to University,” 2023. https://doi.org/10.48489/QUADRANTE.31191.
ieee: '“Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university,” 2023, doi: 10.48489/QUADRANTE.31191.'
mla: Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition
from School to University. 2023, doi:10.48489/QUADRANTE.31191.
short: (2023).
date_created: 2024-03-25T10:02:25Z
date_updated: 2024-03-25T10:10:11Z
department:
- _id: '10'
- _id: '625'
- _id: '34'
- _id: '97'
- _id: '98'
doi: 10.48489/QUADRANTE.31191
language:
- iso: en
status: public
title: Preservice teachers’ mathematics-related values and expectancy in the transition
from school to university
type: journal_article
user_id: '30933'
year: '2023'
...
---
_id: '16296'
abstract:
- lang: eng
text: "Multiobjective optimization plays an increasingly important role in modern\r\napplications,
where several objectives are often of equal importance. The task\r\nin multiobjective
optimization and multiobjective optimal control is therefore\r\nto compute the
set of optimal compromises (the Pareto set) between the\r\nconflicting objectives.
Since the Pareto set generally consists of an infinite\r\nnumber of solutions,
the computational effort can quickly become challenging\r\nwhich is particularly
problematic when the objectives are costly to evaluate as\r\nis the case for models
governed by partial differential equations (PDEs). To\r\ndecrease the numerical
effort to an affordable amount, surrogate models can be\r\nused to replace the
expensive PDE evaluations. Existing multiobjective\r\noptimization methods using
model reduction are limited either to low parameter\r\ndimensions or to few (ideally
two) objectives. In this article, we present a\r\ncombination of the reduced basis
model reduction method with a continuation\r\napproach using inexact gradients.
The resulting approach can handle an\r\narbitrary number of objectives while yielding
a significant reduction in\r\ncomputing time."
author:
- first_name: Stefan
full_name: Banholzer, Stefan
last_name: Banholzer
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: 'Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-Based Multiobjective
Optimization of Elliptic PDEs via Numerical Continuation. In: Michael H, Roland
H, Christian K, Michael U, Stefan U, eds. Non-Smooth and Complementarity-Based
Distributed Parameter Systems. Springer; 2022:43-76. doi:10.1007/978-3-030-79393-7_3'
apa: Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2022).
ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation.
In H. Michael, H. Roland, K. Christian, U. Michael, & U. Stefan (Eds.), Non-Smooth
and Complementarity-Based Distributed Parameter Systems (pp. 43–76). Springer.
https://doi.org/10.1007/978-3-030-79393-7_3
bibtex: '@inbook{Banholzer_Gebken_Dellnitz_Peitz_Volkwein_2022, place={Cham}, title={ROM-Based
Multiobjective Optimization of Elliptic PDEs via Numerical Continuation}, DOI={10.1007/978-3-030-79393-7_3},
booktitle={Non-Smooth and Complementarity-Based Distributed Parameter Systems},
publisher={Springer}, author={Banholzer, Stefan and Gebken, Bennet and Dellnitz,
Michael and Peitz, Sebastian and Volkwein, Stefan}, editor={Michael, Hintermüller
and Roland, Herzog and Christian, Kanzow and Michael, Ulbrich and Stefan, Ulbrich},
year={2022}, pages={43–76} }'
chicago: 'Banholzer, Stefan, Bennet Gebken, Michael Dellnitz, Sebastian Peitz, and
Stefan Volkwein. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical
Continuation.” In Non-Smooth and Complementarity-Based Distributed Parameter
Systems, edited by Hintermüller Michael, Herzog Roland, Kanzow Christian,
Ulbrich Michael, and Ulbrich Stefan, 43–76. Cham: Springer, 2022. https://doi.org/10.1007/978-3-030-79393-7_3.'
ieee: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-Based
Multiobjective Optimization of Elliptic PDEs via Numerical Continuation,” in Non-Smooth
and Complementarity-Based Distributed Parameter Systems, H. Michael, H. Roland,
K. Christian, U. Michael, and U. Stefan, Eds. Cham: Springer, 2022, pp. 43–76.'
mla: Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic
PDEs via Numerical Continuation.” Non-Smooth and Complementarity-Based Distributed
Parameter Systems, edited by Hintermüller Michael et al., Springer, 2022,
pp. 43–76, doi:10.1007/978-3-030-79393-7_3.
short: 'S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, S. Volkwein, in: H. Michael,
H. Roland, K. Christian, U. Michael, U. Stefan (Eds.), Non-Smooth and Complementarity-Based
Distributed Parameter Systems, Springer, Cham, 2022, pp. 43–76.'
date_created: 2020-03-13T12:45:31Z
date_updated: 2022-03-14T13:04:51Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/978-3-030-79393-7_3
editor:
- first_name: Hintermüller
full_name: Michael, Hintermüller
last_name: Michael
- first_name: Herzog
full_name: Roland, Herzog
last_name: Roland
- first_name: Kanzow
full_name: Christian, Kanzow
last_name: Christian
- first_name: Ulbrich
full_name: Michael, Ulbrich
last_name: Michael
- first_name: Ulbrich
full_name: Stefan, Ulbrich
last_name: Stefan
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/1906.09075.pdf
oa: '1'
page: 43-76
place: Cham
publication: Non-Smooth and Complementarity-Based Distributed Parameter Systems
publication_identifier:
isbn:
- 978-3-030-79392-0
publisher: Springer
status: public
title: ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical Continuation
type: book_chapter
user_id: '47427'
year: '2022'
...
---
_id: '30294'
abstract:
- lang: eng
text: With the ever increasing capabilities of sensors and controllers, autonomous
driving is quickly becoming a reality. This disruptive change in the automotive
industry poses major challenges for manufacturers as well as suppliers as entirely
new design and testing strategies have to be developed to remain competitive.
Most importantly, the complexity of autonomously driving vehicles in a complex,
uncertain, and safety-critical environment requires new testing procedures to
cover the almost infinite range of potential scenarios.
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Sebastian
full_name: Bannenberg, Sebastian
last_name: Bannenberg
citation:
ama: 'Peitz S, Dellnitz M, Bannenberg S. Efficient Virtual Design and Testing of
Autonomous Vehicles. In: Bock HG, Küfer K-H, Maas P, Milde A, Schulz V, eds. German
Success Stories in Industrial Mathematics. Vol 35. Mathematics in Industry.
Springer International Publishing; 2022. doi:10.1007/978-3-030-81455-7_23'
apa: Peitz, S., Dellnitz, M., & Bannenberg, S. (2022). Efficient Virtual Design
and Testing of Autonomous Vehicles. In H. G. Bock, K.-H. Küfer, P. Maas, A. Milde,
& V. Schulz (Eds.), German Success Stories in Industrial Mathematics
(Vol. 35). Springer International Publishing. https://doi.org/10.1007/978-3-030-81455-7_23
bibtex: '@inbook{Peitz_Dellnitz_Bannenberg_2022, place={Cham}, series={Mathematics
in Industry}, title={Efficient Virtual Design and Testing of Autonomous Vehicles},
volume={35}, DOI={10.1007/978-3-030-81455-7_23},
booktitle={German Success Stories in Industrial Mathematics}, publisher={Springer
International Publishing}, author={Peitz, Sebastian and Dellnitz, Michael and
Bannenberg, Sebastian}, editor={Bock, H. G. and Küfer, K.-H. and Maas, P. and
Milde, A. and Schulz, V.}, year={2022}, collection={Mathematics in Industry} }'
chicago: 'Peitz, Sebastian, Michael Dellnitz, and Sebastian Bannenberg. “Efficient
Virtual Design and Testing of Autonomous Vehicles.” In German Success Stories
in Industrial Mathematics, edited by H. G. Bock, K.-H. Küfer, P. Maas, A.
Milde, and V. Schulz, Vol. 35. Mathematics in Industry. Cham: Springer International
Publishing, 2022. https://doi.org/10.1007/978-3-030-81455-7_23.'
ieee: 'S. Peitz, M. Dellnitz, and S. Bannenberg, “Efficient Virtual Design and Testing
of Autonomous Vehicles,” in German Success Stories in Industrial Mathematics,
vol. 35, H. G. Bock, K.-H. Küfer, P. Maas, A. Milde, and V. Schulz, Eds. Cham:
Springer International Publishing, 2022.'
mla: Peitz, Sebastian, et al. “Efficient Virtual Design and Testing of Autonomous
Vehicles.” German Success Stories in Industrial Mathematics, edited by
H. G. Bock et al., vol. 35, Springer International Publishing, 2022, doi:10.1007/978-3-030-81455-7_23.
short: 'S. Peitz, M. Dellnitz, S. Bannenberg, in: H.G. Bock, K.-H. Küfer, P. Maas,
A. Milde, V. Schulz (Eds.), German Success Stories in Industrial Mathematics,
Springer International Publishing, Cham, 2022.'
date_created: 2022-03-14T07:32:41Z
date_updated: 2022-03-14T07:42:01Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/978-3-030-81455-7_23
editor:
- first_name: H. G.
full_name: Bock, H. G.
last_name: Bock
- first_name: K.-H.
full_name: Küfer, K.-H.
last_name: Küfer
- first_name: P.
full_name: Maas, P.
last_name: Maas
- first_name: A.
full_name: Milde, A.
last_name: Milde
- first_name: V.
full_name: Schulz, V.
last_name: Schulz
intvolume: ' 35'
language:
- iso: eng
place: Cham
publication: German Success Stories in Industrial Mathematics
publication_identifier:
isbn:
- '9783030814540'
- '9783030814557'
issn:
- 1612-3956
- 2198-3283
publication_status: published
publisher: Springer International Publishing
series_title: Mathematics in Industry
status: public
title: Efficient Virtual Design and Testing of Autonomous Vehicles
type: book_chapter
user_id: '47427'
volume: 35
year: '2022'
...
---
_id: '30490'
author:
- first_name: Jacky
full_name: Cresson, Jacky
last_name: Cresson
- first_name: Fernando
full_name: Jiménez, Fernando
last_name: Jiménez
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Cresson J, Jiménez F, Ober-Blöbaum S. Continuous and discrete Noether’s fractional
conserved quantities for restricted calculus of variations. AIMS. 2022;14(1):57-89.
apa: Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2022). Continuous and discrete
Noether’s fractional conserved quantities for restricted calculus of variations.
AIMS, 14(1), 57–89.
bibtex: '@article{Cresson_Jiménez_Ober-Blöbaum_2022, title={Continuous and discrete
Noether’s fractional conserved quantities for restricted calculus of variations},
volume={14(1)}, journal={AIMS}, author={Cresson, Jacky and Jiménez, Fernando and
Ober-Blöbaum, Sina}, year={2022}, pages={57–89} }'
chicago: 'Cresson, Jacky, Fernando Jiménez, and Sina Ober-Blöbaum. “Continuous and
Discrete Noether’s Fractional Conserved Quantities for Restricted Calculus of
Variations.” AIMS 14(1) (2022): 57–89.'
ieee: J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Continuous and discrete Noether’s
fractional conserved quantities for restricted calculus of variations,” AIMS,
vol. 14(1), pp. 57–89, 2022.
mla: Cresson, Jacky, et al. “Continuous and Discrete Noether’s Fractional Conserved
Quantities for Restricted Calculus of Variations.” AIMS, vol. 14(1), 2022,
pp. 57–89.
short: J. Cresson, F. Jiménez, S. Ober-Blöbaum, AIMS 14(1) (2022) 57–89.
date_created: 2022-03-24T12:26:10Z
date_updated: 2022-03-24T12:26:32Z
department:
- _id: '636'
language:
- iso: eng
page: 57-89
publication: AIMS
status: public
title: Continuous and discrete Noether's fractional conserved quantities for restricted
calculus of variations
type: journal_article
user_id: '15694'
volume: 14(1)
year: '2022'
...
---
_id: '30861'
abstract:
- lang: eng
text: AbstractWe consider the problem of maximization
of metabolite production in bacterial cells formulated as a dynamical optimal
control problem (DOCP). According to Pontryagin’s maximum principle, optimal solutions
are concatenations of singular and bang arcs and exhibit the chattering or Fuller
phenomenon, which is problematic for applications. To avoid chattering, we introduce
a reduced model which is still biologically relevant and retains the important
structural features of the original problem. Using a combination of analytical
and numerical methods, we show that the singular arc is dominant in the studied
DOCPs and exhibits the turnpike property. This property
is further used in order to design simple and realistic suboptimal control strategies.
author:
- first_name: Jean-Baptiste
full_name: Caillau, Jean-Baptiste
last_name: Caillau
- first_name: Walid
full_name: Djema, Walid
last_name: Djema
- first_name: Jean-Luc
full_name: Gouzé, Jean-Luc
last_name: Gouzé
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Jean-Baptiste
full_name: Pomet, Jean-Baptiste
last_name: Pomet
citation:
ama: Caillau J-B, Djema W, Gouzé J-L, Maslovskaya S, Pomet J-B. Turnpike Property
in Optimal Microbial Metabolite Production. Journal of Optimization Theory
and Applications. Published online 2022. doi:10.1007/s10957-022-02023-0
apa: Caillau, J.-B., Djema, W., Gouzé, J.-L., Maslovskaya, S., & Pomet, J.-B.
(2022). Turnpike Property in Optimal Microbial Metabolite Production. Journal
of Optimization Theory and Applications. https://doi.org/10.1007/s10957-022-02023-0
bibtex: '@article{Caillau_Djema_Gouzé_Maslovskaya_Pomet_2022, title={Turnpike Property
in Optimal Microbial Metabolite Production}, DOI={10.1007/s10957-022-02023-0},
journal={Journal of Optimization Theory and Applications}, publisher={Springer
Science and Business Media LLC}, author={Caillau, Jean-Baptiste and Djema, Walid
and Gouzé, Jean-Luc and Maslovskaya, Sofya and Pomet, Jean-Baptiste}, year={2022}
}'
chicago: Caillau, Jean-Baptiste, Walid Djema, Jean-Luc Gouzé, Sofya Maslovskaya,
and Jean-Baptiste Pomet. “Turnpike Property in Optimal Microbial Metabolite Production.”
Journal of Optimization Theory and Applications, 2022. https://doi.org/10.1007/s10957-022-02023-0.
ieee: 'J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, and J.-B. Pomet, “Turnpike
Property in Optimal Microbial Metabolite Production,” Journal of Optimization
Theory and Applications, 2022, doi: 10.1007/s10957-022-02023-0.'
mla: Caillau, Jean-Baptiste, et al. “Turnpike Property in Optimal Microbial Metabolite
Production.” Journal of Optimization Theory and Applications, Springer
Science and Business Media LLC, 2022, doi:10.1007/s10957-022-02023-0.
short: J.-B. Caillau, W. Djema, J.-L. Gouzé, S. Maslovskaya, J.-B. Pomet, Journal
of Optimization Theory and Applications (2022).
date_created: 2022-04-08T17:23:13Z
date_updated: 2022-04-08T18:23:02Z
department:
- _id: '636'
doi: 10.1007/s10957-022-02023-0
keyword:
- Applied Mathematics
- Management Science and Operations Research
- Control and Optimization
language:
- iso: eng
publication: Journal of Optimization Theory and Applications
publication_identifier:
issn:
- 0022-3239
- 1573-2878
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Turnpike Property in Optimal Microbial Metabolite Production
type: journal_article
user_id: '87909'
year: '2022'
...
---
_id: '31982'
abstract:
- lang: eng
text: "AbstractWe show that for a generic conformal
metric perturbation of a compact hyperbolic 3-manifold $$\\Sigma
$$\r\n
\ Σ\r\n
with Betti number $$b_1$$\r\n \r\n
\ b\r\n 1\r\n
\ \r\n ,
the order of vanishing of the Ruelle zeta function at zero equals $$4-b_1$$\r\n \r\n
\ 4\r\n -\r\n
\ \r\n b\r\n
\ 1\r\n \r\n
\ \r\n ,
while in the hyperbolic case it is equal to $$4-2b_1$$\r\n \r\n
\ 4\r\n -\r\n
\ 2\r\n \r\n b\r\n
\ 1\r\n \r\n
\ \r\n .
This is in contrast to the 2-dimensional case where the order of vanishing is
a topological invariant. The proof uses the microlocal approach to dynamical zeta
functions, giving a geometric description of generalized Pollicott–Ruelle resonant
differential forms at 0 in the hyperbolic case and using first variation for the
perturbation. To show that the first variation is generically nonzero we introduce
a new identity relating pushforwards of products of resonant and coresonant 2-forms
on the sphere bundle $$S\\Sigma
$$\r\n
\ \r\n S\r\n Σ\r\n
\ \r\n
with harmonic 1-forms on $$\\Sigma
$$\r\n
\ Σ\r\n ."
author:
- first_name: Mihajlo
full_name: Cekić, Mihajlo
last_name: Cekić
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Semyon
full_name: Dyatlov, Semyon
last_name: Dyatlov
- first_name: Gabriel P.
full_name: Paternain, Gabriel P.
last_name: Paternain
citation:
ama: Cekić M, Delarue B, Dyatlov S, Paternain GP. The Ruelle zeta function at zero
for nearly hyperbolic 3-manifolds. Inventiones mathematicae. 2022;229(1):303-394.
doi:10.1007/s00222-022-01108-x
apa: Cekić, M., Delarue, B., Dyatlov, S., & Paternain, G. P. (2022). The Ruelle
zeta function at zero for nearly hyperbolic 3-manifolds. Inventiones Mathematicae,
229(1), 303–394. https://doi.org/10.1007/s00222-022-01108-x
bibtex: '@article{Cekić_Delarue_Dyatlov_Paternain_2022, title={The Ruelle zeta function
at zero for nearly hyperbolic 3-manifolds}, volume={229}, DOI={10.1007/s00222-022-01108-x},
number={1}, journal={Inventiones mathematicae}, publisher={Springer Science and
Business Media LLC}, author={Cekić, Mihajlo and Delarue, Benjamin and Dyatlov,
Semyon and Paternain, Gabriel P.}, year={2022}, pages={303–394} }'
chicago: 'Cekić, Mihajlo, Benjamin Delarue, Semyon Dyatlov, and Gabriel P. Paternain.
“The Ruelle Zeta Function at Zero for Nearly Hyperbolic 3-Manifolds.” Inventiones
Mathematicae 229, no. 1 (2022): 303–94. https://doi.org/10.1007/s00222-022-01108-x.'
ieee: 'M. Cekić, B. Delarue, S. Dyatlov, and G. P. Paternain, “The Ruelle zeta function
at zero for nearly hyperbolic 3-manifolds,” Inventiones mathematicae, vol.
229, no. 1, pp. 303–394, 2022, doi: 10.1007/s00222-022-01108-x.'
mla: Cekić, Mihajlo, et al. “The Ruelle Zeta Function at Zero for Nearly Hyperbolic
3-Manifolds.” Inventiones Mathematicae, vol. 229, no. 1, Springer Science
and Business Media LLC, 2022, pp. 303–94, doi:10.1007/s00222-022-01108-x.
short: M. Cekić, B. Delarue, S. Dyatlov, G.P. Paternain, Inventiones Mathematicae
229 (2022) 303–394.
date_created: 2022-06-20T08:24:17Z
date_updated: 2022-06-21T11:55:15Z
department:
- _id: '548'
doi: 10.1007/s00222-022-01108-x
intvolume: ' 229'
issue: '1'
keyword:
- General Mathematics
language:
- iso: eng
page: 303-394
publication: Inventiones mathematicae
publication_identifier:
issn:
- 0020-9910
- 1432-1297
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: The Ruelle zeta function at zero for nearly hyperbolic 3-manifolds
type: journal_article
user_id: '70575'
volume: 229
year: '2022'
...
---
_id: '32233'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: M.
full_name: Hattermann, M.
last_name: Hattermann
citation:
ama: 'Häsel-Weide U, Wallner M, Hattermann M. Symmetrieverständnis von Anfang an.
In: Gutzmann M, Carle U, Grundschulverband e. V., eds. Anfangsunterricht für
alle Kinder - Willkommen in der Schule!. ; 2022:200-215.'
apa: Häsel-Weide, U., Wallner, M., & Hattermann, M. (2022). Symmetrieverständnis
von Anfang an. In M. Gutzmann, U. Carle, & Grundschulverband e. V. (Eds.),
Anfangsunterricht für alle Kinder - Willkommen in der Schule! (pp. 200–215).
bibtex: '@inbook{Häsel-Weide_Wallner_Hattermann_2022, place={Frankfurt a. M.}, title={Symmetrieverständnis
von Anfang an}, booktitle={Anfangsunterricht für alle Kinder - Willkommen in der
Schule!}, author={Häsel-Weide, Uta and Wallner, Melina and Hattermann, M.}, editor={Gutzmann,
M. and Carle, U. and Grundschulverband e. V.}, year={2022}, pages={200–215} }'
chicago: Häsel-Weide, Uta, Melina Wallner, and M. Hattermann. “Symmetrieverständnis
von Anfang an.” In Anfangsunterricht für alle Kinder - Willkommen in der Schule!,
edited by M. Gutzmann, U. Carle, and Grundschulverband e. V., 200–215. Frankfurt
a. M., 2022.
ieee: U. Häsel-Weide, M. Wallner, and M. Hattermann, “Symmetrieverständnis von Anfang
an,” in Anfangsunterricht für alle Kinder - Willkommen in der Schule!,
M. Gutzmann, U. Carle, and Grundschulverband e. V., Eds. Frankfurt a. M., 2022,
pp. 200–215.
mla: Häsel-Weide, Uta, et al. “Symmetrieverständnis von Anfang an.” Anfangsunterricht
für alle Kinder - Willkommen in der Schule!, edited by M. Gutzmann et al.,
2022, pp. 200–15.
short: 'U. Häsel-Weide, M. Wallner, M. Hattermann, in: M. Gutzmann, U. Carle, Grundschulverband
e. V. (Eds.), Anfangsunterricht für alle Kinder - Willkommen in der Schule!, Frankfurt
a. M., 2022, pp. 200–215.'
corporate_editor:
- Grundschulverband e. V.
date_created: 2022-06-28T06:30:12Z
date_updated: 2022-07-05T06:48:40Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: M.
full_name: Gutzmann, M.
last_name: Gutzmann
- first_name: U.
full_name: Carle, U.
last_name: Carle
language:
- iso: ger
page: 200-215
place: Frankfurt a. M.
publication: Anfangsunterricht für alle Kinder - Willkommen in der Schule!
publication_status: published
status: public
title: Symmetrieverständnis von Anfang an
type: book_chapter
user_id: '45445'
year: '2022'
...
---
_id: '32339'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: S.
full_name: Seitz, S.
last_name: Seitz
- first_name: Melina
full_name: Wallner, Melina
id: '45445'
last_name: Wallner
- first_name: Y.
full_name: Wilke, Y.
last_name: Wilke
citation:
ama: 'Häsel-Weide U, Seitz S, Wallner M, Wilke Y. Professionalisierung für inklusiven
Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung
angehender Mathematiklehrkräfte in der Sekundarstufe. In: Lutz D, Becker J, Buchhaupt
F, Katzenbach D, Strecker A, Urban M, eds. Qualifizierung für Inklusion. Sekundarstufe.
Waxmann; 2022:83-100.'
apa: Häsel-Weide, U., Seitz, S., Wallner, M., & Wilke, Y. (2022). Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe. In
D. Lutz, J. Becker, F. Buchhaupt, D. Katzenbach, A. Strecker, & M. Urban (Eds.),
Qualifizierung für Inklusion. Sekundarstufe (pp. 83–100). Waxmann.
bibtex: '@inbook{Häsel-Weide_Seitz_Wallner_Wilke_2022, place={Münster}, title={Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe}, booktitle={Qualifizierung
für Inklusion. Sekundarstufe}, publisher={Waxmann}, author={Häsel-Weide, Uta and
Seitz, S. and Wallner, Melina and Wilke, Y.}, editor={Lutz, D. and Becker, J.
and Buchhaupt, F. and Katzenbach, D. and Strecker, A. and Urban, M.}, year={2022},
pages={83–100} }'
chicago: 'Häsel-Weide, Uta, S. Seitz, Melina Wallner, and Y. Wilke. “Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe.” In
Qualifizierung für Inklusion. Sekundarstufe, edited by D. Lutz, J. Becker,
F. Buchhaupt, D. Katzenbach, A. Strecker, and M. Urban, 83–100. Münster: Waxmann,
2022.'
ieee: 'U. Häsel-Weide, S. Seitz, M. Wallner, and Y. Wilke, “Professionalisierung
für inklusiven Mathematikunterricht. Interdisziplinäre Seminarkonzeption zur reflexiven
Professionalisierung angehender Mathematiklehrkräfte in der Sekundarstufe,” in
Qualifizierung für Inklusion. Sekundarstufe, D. Lutz, J. Becker, F. Buchhaupt,
D. Katzenbach, A. Strecker, and M. Urban, Eds. Münster: Waxmann, 2022, pp. 83–100.'
mla: Häsel-Weide, Uta, et al. “Professionalisierung für inklusiven Mathematikunterricht.
Interdisziplinäre Seminarkonzeption zur reflexiven Professionalisierung angehender
Mathematiklehrkräfte in der Sekundarstufe.” Qualifizierung für Inklusion. Sekundarstufe,
edited by D. Lutz et al., Waxmann, 2022, pp. 83–100.
short: 'U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, in: D. Lutz, J. Becker,
F. Buchhaupt, D. Katzenbach, A. Strecker, M. Urban (Eds.), Qualifizierung für
Inklusion. Sekundarstufe, Waxmann, Münster, 2022, pp. 83–100.'
date_created: 2022-07-11T05:31:28Z
date_updated: 2022-07-11T05:31:46Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: D.
full_name: Lutz, D.
last_name: Lutz
- first_name: J.
full_name: Becker, J.
last_name: Becker
- first_name: F.
full_name: Buchhaupt, F.
last_name: Buchhaupt
- first_name: D.
full_name: Katzenbach, D.
last_name: Katzenbach
- first_name: A.
full_name: Strecker, A.
last_name: Strecker
- first_name: M.
full_name: Urban, M.
last_name: Urban
language:
- iso: ger
page: 83-100
place: Münster
publication: Qualifizierung für Inklusion. Sekundarstufe
publication_status: published
publisher: Waxmann
status: public
title: Professionalisierung für inklusiven Mathematikunterricht. Interdisziplinäre
Seminarkonzeption zur reflexiven Professionalisierung angehender Mathematiklehrkräfte
in der Sekundarstufe
type: book_chapter
user_id: '85821'
year: '2022'
...
---
_id: '32338'
author:
- first_name: K.
full_name: Hähn, K.
last_name: Hähn
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
- first_name: P.
full_name: Scherer, P.
last_name: Scherer
citation:
ama: Hähn K, Häsel-Weide U, Scherer P. Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung für Inklusion.
2022;3(2).
apa: Hähn, K., Häsel-Weide, U., & Scherer, P. (2022). Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung. QfI - Qualifizierung
für Inklusion, 3(2).
bibtex: '@article{Hähn_Häsel-Weide_Scherer_2022, title={Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.}, volume={3}, number={2},
journal={QfI - Qualifizierung für Inklusion}, author={Hähn, K. and Häsel-Weide,
Uta and Scherer, P.}, year={2022} }'
chicago: Hähn, K., Uta Häsel-Weide, and P. Scherer. “Diagnosegeleitete Förderung
im inklusiven Mathematikunterricht der Grundschule – Professionalisierung durch
reflektierte Handlungspraxis in der Lehrer*innenbildung.” QfI - Qualifizierung
für Inklusion 3, no. 2 (2022).
ieee: K. Hähn, U. Häsel-Weide, and P. Scherer, “Diagnosegeleitete Förderung im inklusiven
Mathematikunterricht der Grundschule – Professionalisierung durch reflektierte
Handlungspraxis in der Lehrer*innenbildung.,” QfI - Qualifizierung für Inklusion,
vol. 3, no. 2, 2022.
mla: Hähn, K., et al. “Diagnosegeleitete Förderung im inklusiven Mathematikunterricht
der Grundschule – Professionalisierung durch reflektierte Handlungspraxis in der
Lehrer*innenbildung.” QfI - Qualifizierung für Inklusion, vol. 3, no. 2,
2022.
short: K. Hähn, U. Häsel-Weide, P. Scherer, QfI - Qualifizierung für Inklusion 3
(2022).
date_created: 2022-07-11T05:13:52Z
date_updated: 2022-07-11T05:31:41Z
department:
- _id: '98'
- _id: '543'
intvolume: ' 3'
issue: '2'
language:
- iso: ger
publication: QfI - Qualifizierung für Inklusion
publication_status: published
related_material:
link:
- relation: contains
url: https://doi.org/10.21248/qfi.72
status: public
title: Diagnosegeleitete Förderung im inklusiven Mathematikunterricht der Grundschule
– Professionalisierung durch reflektierte Handlungspraxis in der Lehrer*innenbildung.
type: journal_article
user_id: '85821'
volume: 3
year: '2022'
...
---
_id: '29673'
abstract:
- lang: eng
text: Koopman operator theory has been successfully applied to problems from various
research areas such as fluid dynamics, molecular dynamics, climate science, engineering,
and biology. Applications include detecting metastable or coherent sets, coarse-graining,
system identification, and control. There is an intricate connection between dynamical
systems driven by stochastic differential equations and quantum mechanics. In
this paper, we compare the ground-state transformation and Nelson's stochastic
mechanics and demonstrate how data-driven methods developed for the approximation
of the Koopman operator can be used to analyze quantum physics problems. Moreover,
we exploit the relationship between Schrödinger operators and stochastic control
problems to show that modern data-driven methods for stochastic control can be
used to solve the stationary or imaginary-time Schrödinger equation. Our findings
open up a new avenue towards solving Schrödinger's equation using recently developed
tools from data science.
author:
- first_name: Stefan
full_name: Klus, Stefan
last_name: Klus
- 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
citation:
ama: 'Klus S, Nüske F, Peitz S. Koopman analysis of quantum systems. Journal
of Physics A: Mathematical and Theoretical. 2022;55(31):314002. doi:10.1088/1751-8121/ac7d22'
apa: 'Klus, S., Nüske, F., & Peitz, S. (2022). Koopman analysis of quantum systems.
Journal of Physics A: Mathematical and Theoretical, 55(31), 314002.
https://doi.org/10.1088/1751-8121/ac7d22'
bibtex: '@article{Klus_Nüske_Peitz_2022, title={Koopman analysis of quantum systems},
volume={55}, DOI={10.1088/1751-8121/ac7d22},
number={31}, journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP
Publishing Ltd.}, author={Klus, Stefan and Nüske, Feliks and Peitz, Sebastian},
year={2022}, pages={314002} }'
chicago: 'Klus, Stefan, Feliks Nüske, and Sebastian Peitz. “Koopman Analysis of
Quantum Systems.” Journal of Physics A: Mathematical and Theoretical 55,
no. 31 (2022): 314002. https://doi.org/10.1088/1751-8121/ac7d22.'
ieee: 'S. Klus, F. Nüske, and S. Peitz, “Koopman analysis of quantum systems,” Journal
of Physics A: Mathematical and Theoretical, vol. 55, no. 31, p. 314002, 2022,
doi: 10.1088/1751-8121/ac7d22.'
mla: 'Klus, Stefan, et al. “Koopman Analysis of Quantum Systems.” Journal of
Physics A: Mathematical and Theoretical, vol. 55, no. 31, IOP Publishing Ltd.,
2022, p. 314002, doi:10.1088/1751-8121/ac7d22.'
short: 'S. Klus, F. Nüske, S. Peitz, Journal of Physics A: Mathematical and Theoretical
55 (2022) 314002.'
date_created: 2022-01-31T09:49:40Z
date_updated: 2022-07-18T14:26:41Z
department:
- _id: '655'
- _id: '101'
doi: 10.1088/1751-8121/ac7d22
external_id:
arxiv:
- '2201.12062'
intvolume: ' 55'
issue: '31'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://iopscience.iop.org/article/10.1088/1751-8121/ac7d22/pdf
oa: '1'
page: '314002'
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing Ltd.
status: public
title: Koopman analysis of quantum systems
type: journal_article
user_id: '47427'
volume: 55
year: '2022'
...
---
_id: '34618'
abstract:
- lang: eng
text: "In this article, we show how second-order derivative information can be\r\nincorporated
into gradient sampling methods for nonsmooth optimization. The\r\nsecond-order
information we consider is essentially the set of coefficients of\r\nall second-order
Taylor expansions of the objective in a closed ball around a\r\ngiven point. Based
on this concept, we define a model of the objective as the\r\nmaximum of these
Taylor expansions. Iteratively minimizing this model\r\n(constrained to the closed
ball) results in a simple descent method, for which\r\nwe prove convergence to
minimal points in case the objective is convex. To\r\nobtain an implementable
method, we construct an approximation scheme for the\r\nsecond-order information
based on sampling objective values, gradients and\r\nHessian matrices at finitely
many points. Using a set of test problems, we\r\ncompare the resulting method
to five other available solvers. Considering the\r\nnumber of function evaluations,
the results suggest that the method we propose\r\nis superior to the standard
gradient sampling method, and competitive compared\r\nto other methods."
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. Using second-order information in gradient sampling methods for
nonsmooth optimization. arXiv:221004579. Published online 2022.
apa: Gebken, B. (2022). Using second-order information in gradient sampling methods
for nonsmooth optimization. In arXiv:2210.04579.
bibtex: '@article{Gebken_2022, title={Using second-order information in gradient
sampling methods for nonsmooth optimization}, journal={arXiv:2210.04579}, author={Gebken,
Bennet}, year={2022} }'
chicago: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods
for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
ieee: B. Gebken, “Using second-order information in gradient sampling methods for
nonsmooth optimization,” arXiv:2210.04579. 2022.
mla: Gebken, Bennet. “Using Second-Order Information in Gradient Sampling Methods
for Nonsmooth Optimization.” ArXiv:2210.04579, 2022.
short: B. Gebken, ArXiv:2210.04579 (2022).
date_created: 2022-12-20T15:25:17Z
date_updated: 2022-12-20T15:28:54Z
department:
- _id: '101'
external_id:
arxiv:
- '2210.04579'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2210.04579
oa: '1'
publication: arXiv:2210.04579
status: public
title: Using second-order information in gradient sampling methods for nonsmooth
optimization
type: preprint
user_id: '32643'
year: '2022'
...
---
_id: '34792'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Non-Lie subgroups in Lie groups over local fields of positive characteristic.
p-Adic Numbers, Ultrametric Analysis, and Applications. 2022;14(2):138–144.
doi:10.1134/S2070046622020042
apa: Glöckner, H. (2022). Non-Lie subgroups in Lie groups over local fields of positive
characteristic. P-Adic Numbers, Ultrametric Analysis, and Applications,
14(2), 138–144. https://doi.org/10.1134/S2070046622020042
bibtex: '@article{Glöckner_2022, title={Non-Lie subgroups in Lie groups over local
fields of positive characteristic}, volume={14}, DOI={10.1134/S2070046622020042},
number={2}, journal={p-Adic Numbers, Ultrametric Analysis, and Applications},
author={Glöckner, Helge}, year={2022}, pages={138–144} }'
chicago: 'Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of
Positive Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications
14, no. 2 (2022): 138–144. https://doi.org/10.1134/S2070046622020042.'
ieee: 'H. Glöckner, “Non-Lie subgroups in Lie groups over local fields of positive
characteristic,” p-Adic Numbers, Ultrametric Analysis, and Applications,
vol. 14, no. 2, pp. 138–144, 2022, doi: 10.1134/S2070046622020042.'
mla: Glöckner, Helge. “Non-Lie Subgroups in Lie Groups over Local Fields of Positive
Characteristic.” P-Adic Numbers, Ultrametric Analysis, and Applications,
vol. 14, no. 2, 2022, pp. 138–144, doi:10.1134/S2070046622020042.
short: H. Glöckner, P-Adic Numbers, Ultrametric Analysis, and Applications 14 (2022)
138–144.
date_created: 2022-12-21T19:27:51Z
date_updated: 2022-12-21T19:30:25Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1134/S2070046622020042
intvolume: ' 14'
issue: '2'
keyword:
- 20Exx
- 22Exx
- 32Cxx
language:
- iso: eng
page: 138–144
publication: p-Adic Numbers, Ultrametric Analysis, and Applications
publication_identifier:
issn:
- 2070-0466
quality_controlled: '1'
status: public
title: Non-Lie subgroups in Lie groups over local fields of positive characteristic
type: journal_article
user_id: '178'
volume: 14
year: '2022'
...
---
_id: '34791'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
citation:
ama: Glöckner H, Schmeding A. Manifolds of mappings on Cartesian products. Annals
of Global Analysis and Geometry. 2022;61(2):359–398. doi:10.1007/s10455-021-09816-y
apa: Glöckner, H., & Schmeding, A. (2022). Manifolds of mappings on Cartesian
products. Annals of Global Analysis and Geometry, 61(2), 359–398.
https://doi.org/10.1007/s10455-021-09816-y
bibtex: '@article{Glöckner_Schmeding_2022, title={Manifolds of mappings on Cartesian
products}, volume={61}, DOI={10.1007/s10455-021-09816-y},
number={2}, journal={Annals of Global Analysis and Geometry}, author={Glöckner,
Helge and Schmeding, Alexander}, year={2022}, pages={359–398} }'
chicago: 'Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian
Products.” Annals of Global Analysis and Geometry 61, no. 2 (2022): 359–398.
https://doi.org/10.1007/s10455-021-09816-y.'
ieee: 'H. Glöckner and A. Schmeding, “Manifolds of mappings on Cartesian products,”
Annals of Global Analysis and Geometry, vol. 61, no. 2, pp. 359–398, 2022,
doi: 10.1007/s10455-021-09816-y.'
mla: Glöckner, Helge, and Alexander Schmeding. “Manifolds of Mappings on Cartesian
Products.” Annals of Global Analysis and Geometry, vol. 61, no. 2, 2022,
pp. 359–398, doi:10.1007/s10455-021-09816-y.
short: H. Glöckner, A. Schmeding, Annals of Global Analysis and Geometry 61 (2022)
359–398.
date_created: 2022-12-21T19:24:48Z
date_updated: 2022-12-21T19:27:09Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10455-021-09816-y
intvolume: ' 61'
issue: '2'
keyword:
- 58D15
- '22E65'
- '26E15'
- '26E20'
- '46E40'
- 46T20
- 58A05
language:
- iso: eng
page: 359–398
publication: Annals of Global Analysis and Geometry
publication_identifier:
issn:
- 0232-704X
quality_controlled: '1'
status: public
title: Manifolds of mappings on Cartesian products
type: journal_article
user_id: '178'
volume: 61
year: '2022'
...
---
_id: '34796'
abstract:
- lang: eng
text: 'We prove various results in infinite-dimensional differential calculus that
relate the differentiability properties of functions and associated operator-valued
functions (e.g., differentials). The results are applied in two areas: (1) in
the theory of infinite-dimensional vector bundles, to construct new bundles from
given ones, such as dual bundles, topological tensor products, infinite direct
sums, and completions (under suitable hypotheses); (2) in the theory of locally
convex Poisson vector spaces, to prove continuity of the Poisson bracket and continuity
of passage from a function to the associated Hamiltonian vector field. Topological
properties of topological vector spaces are essential for the studies, which allow
the hypocontinuity of bilinear mappings to be exploited. Notably, we encounter
kR-spaces and locally convex spaces E such that E×E is a kR-space.'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces. Axioms. 2022;11(5). doi:10.3390/axioms11050221
apa: Glöckner, H. (2022). Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces. Axioms, 11(5). https://doi.org/10.3390/axioms11050221
bibtex: '@article{Glöckner_2022, title={Aspects of differential calculus related
to infinite-dimensional vector bundles and Poisson vector spaces}, volume={11},
DOI={10.3390/axioms11050221},
number={5}, journal={Axioms}, author={Glöckner, Helge}, year={2022} }'
chicago: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional
Vector Bundles and Poisson Vector Spaces.” Axioms 11, no. 5 (2022). https://doi.org/10.3390/axioms11050221.
ieee: 'H. Glöckner, “Aspects of differential calculus related to infinite-dimensional
vector bundles and Poisson vector spaces,” Axioms, vol. 11, no. 5, 2022,
doi: 10.3390/axioms11050221.'
mla: Glöckner, Helge. “Aspects of Differential Calculus Related to Infinite-Dimensional
Vector Bundles and Poisson Vector Spaces.” Axioms, vol. 11, no. 5, 2022,
doi:10.3390/axioms11050221.
short: H. Glöckner, Axioms 11 (2022).
date_created: 2022-12-21T20:02:29Z
date_updated: 2022-12-22T07:31:55Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.3390/axioms11050221
intvolume: ' 11'
issue: '5'
language:
- iso: eng
publication: Axioms
publication_identifier:
issn:
- 2075-1680
quality_controlled: '1'
status: public
title: Aspects of differential calculus related to infinite-dimensional vector bundles
and Poisson vector spaces
type: journal_article
user_id: '178'
volume: 11
year: '2022'
...
---
_id: '34804'
abstract:
- lang: eng
text: "Starting with a finite-dimensional complex Lie algebra, we extend scalars\r\nusing
suitable commutative topological algebras. We study Birkhoff\r\ndecompositions
for the corresponding loop groups. Some results remain valid for\r\nloop groups
with valued in complex Banach-Lie groups."
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Birkhoff decompositions for loop groups with coefficient algebras.
arXiv:220611711. Published online 2022.
apa: Glöckner, H. (2022). Birkhoff decompositions for loop groups with coefficient
algebras. In arXiv:2206.11711.
bibtex: '@article{Glöckner_2022, title={Birkhoff decompositions for loop groups
with coefficient algebras}, journal={arXiv:2206.11711}, author={Glöckner, Helge},
year={2022} }'
chicago: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient
Algebras.” ArXiv:2206.11711, 2022.
ieee: H. Glöckner, “Birkhoff decompositions for loop groups with coefficient algebras,”
arXiv:2206.11711. 2022.
mla: Glöckner, Helge. “Birkhoff Decompositions for Loop Groups with Coefficient
Algebras.” ArXiv:2206.11711, 2022.
short: H. Glöckner, ArXiv:2206.11711 (2022).
date_created: 2022-12-22T07:42:07Z
date_updated: 2022-12-22T07:44:08Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- '2206.11711'
language:
- iso: eng
publication: arXiv:2206.11711
status: public
title: Birkhoff decompositions for loop groups with coefficient algebras
type: preprint
user_id: '178'
year: '2022'
...
---
_id: '31556'
abstract:
- lang: ger
text: Mehrzieloptimierung behandelt Probleme, bei denen mehrere skalare Zielfunktionen
simultan optimiert werden sollen. Ein Punkt ist in diesem Fall optimal, wenn es
keinen anderen Punkt gibt, der mindestens genauso gut ist in allen Zielfunktionen
und besser in mindestens einer Zielfunktion. Ein notwendiges Optimalitätskriterium
lässt sich über Ableitungsinformationen erster Ordnung der Zielfunktionen herleiten.
Die Menge der Punkte, die dieses notwendige Kriterium erfüllen, wird als Pareto-kritische
Menge bezeichnet. Diese Arbeit enthält neue Resultate über Pareto-kritische Mengen
für glatte und nicht-glatte Mehrzieloptimierungsprobleme, sowohl was deren Berechnung
betrifft als auch deren Struktur. Im glatten Fall erfolgt die Berechnung über
ein Fortsetzungsverfahren, im nichtglatten Fall über ein Abstiegsverfahren. Anschließend
wird die Struktur des Randes der Pareto-kritischen Menge analysiert, welcher aus
Pareto-kritischen Mengen kleinerer Subprobleme besteht. Schlussendlich werden
inverse Probleme betrachtet, bei denen zu einer gegebenen Datenmenge ein Zielfunktionsvektor
gefunden werden soll, für den die Datenpunkte kritisch sind.
- lang: eng
text: Multiobjective optimization is concerned with the simultaneous optimization
of multiple scalar-valued functions. In this case, a point is optimal if there
is no other point that is at least as good in all objectives and better in at
least one objective. A necessary condition for optimality can be derived based
on first-order information of the objectives. The set of points that satisfy this
necessary condition is called the Pareto critical set. This thesis presents new
results about Pareto critical sets for smooth and nonsmooth multiobjective optimization
problems, both in terms of their efficient computation and structural properties.
In the smooth case they are computed via a continuation method and in the nonsmooth
case via a descent method. Afterwards, the structure of the boundary of the Pareto
critical set is analyzed, which consists of Pareto critical sets of smaller subproblems.
Finally, inverse problems are considered, where a data set is given and an objective
vector is sought for which the data points are critical.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. Computation and Analysis of Pareto Critical Sets in Smooth and
Nonsmooth Multiobjective Optimization.; 2022. doi:10.17619/UNIPB/1-1327
apa: Gebken, B. (2022). Computation and analysis of Pareto critical sets in smooth
and nonsmooth multiobjective optimization. https://doi.org/10.17619/UNIPB/1-1327
bibtex: '@book{Gebken_2022, title={Computation and analysis of Pareto critical sets
in smooth and nonsmooth multiobjective optimization}, DOI={10.17619/UNIPB/1-1327},
author={Gebken, Bennet}, year={2022} }'
chicago: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in
Smooth and Nonsmooth Multiobjective Optimization, 2022. https://doi.org/10.17619/UNIPB/1-1327.
ieee: B. Gebken, Computation and analysis of Pareto critical sets in smooth and
nonsmooth multiobjective optimization. 2022.
mla: Gebken, Bennet. Computation and Analysis of Pareto Critical Sets in Smooth
and Nonsmooth Multiobjective Optimization. 2022, doi:10.17619/UNIPB/1-1327.
short: B. Gebken, Computation and Analysis of Pareto Critical Sets in Smooth and
Nonsmooth Multiobjective Optimization, 2022.
date_created: 2022-06-01T06:48:08Z
date_updated: 2022-06-01T07:13:09Z
department:
- _id: '101'
doi: 10.17619/UNIPB/1-1327
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://digital.ub.uni-paderborn.de/hs/download/pdf/6531779
oa: '1'
status: public
supervisor:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
title: Computation and analysis of Pareto critical sets in smooth and nonsmooth multiobjective
optimization
type: dissertation
user_id: '32643'
year: '2022'
...
---
_id: '33150'
abstract:
- lang: eng
text: In this article, we build on previous work to present an optimization algorithm
for nonlinearly constrained multi-objective optimization problems. The algorithm
combines a surrogate-assisted derivative-free trust-region approach with the filter
method known from single-objective optimization. Instead of the true objective
and constraint functions, so-called fully linear models are employed and we show
how to deal with the gradient inexactness in the composite step setting, adapted
from single-objective optimization as well. Under standard assumptions, we prove
convergence of a subset of iterates to a quasi-stationary point and if constraint
qualifications hold, then the limit point is also a KKT-point of the multi-objective
problem.
author:
- first_name: Manuel Bastian
full_name: Berkemeier, Manuel Bastian
id: '51701'
last_name: Berkemeier
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Berkemeier MB, Peitz S. Multi-Objective Trust-Region Filter Method for Nonlinear
Constraints using Inexact Gradients. arXiv:220812094. Published online
2022.
apa: Berkemeier, M. B., & Peitz, S. (2022). Multi-Objective Trust-Region Filter
Method for Nonlinear Constraints using Inexact Gradients. In arXiv:2208.12094.
bibtex: '@article{Berkemeier_Peitz_2022, title={Multi-Objective Trust-Region Filter
Method for Nonlinear Constraints using Inexact Gradients}, journal={arXiv:2208.12094},
author={Berkemeier, Manuel Bastian and Peitz, Sebastian}, year={2022} }'
chicago: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region
Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094,
2022.
ieee: M. B. Berkemeier and S. Peitz, “Multi-Objective Trust-Region Filter Method
for Nonlinear Constraints using Inexact Gradients,” arXiv:2208.12094. 2022.
mla: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Multi-Objective Trust-Region
Filter Method for Nonlinear Constraints Using Inexact Gradients.” ArXiv:2208.12094,
2022.
short: M.B. Berkemeier, S. Peitz, ArXiv:2208.12094 (2022).
date_created: 2022-08-26T06:08:06Z
date_updated: 2022-08-26T06:12:10Z
department:
- _id: '101'
- _id: '655'
external_id:
arxiv:
- '2208.12094'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2208.12094
oa: '1'
publication: arXiv:2208.12094
status: public
title: Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using
Inexact Gradients
type: preprint
user_id: '47427'
year: '2022'
...
---
_id: '20731'
abstract:
- lang: eng
text: We present a novel algorithm that allows us to gain detailed insight into
the effects of sparsity in linear and nonlinear optimization, which is of great
importance in many scientific areas such as image and signal processing, medical
imaging, compressed sensing, and machine learning (e.g., for the training of neural
networks). Sparsity is an important feature to ensure robustness against noisy
data, but also to find models that are interpretable and easy to analyze due to
the small number of relevant terms. It is common practice to enforce sparsity
by adding the ℓ1-norm as a weighted penalty term. In order to gain a better understanding
and to allow for an informed model selection, we directly solve the corresponding
multiobjective optimization problem (MOP) that arises when we minimize the main
objective and the ℓ1-norm simultaneously. As this MOP is in general non-convex
for nonlinear objectives, the weighting method will fail to provide all optimal
compromises. To avoid this issue, we present a continuation method which is specifically
tailored to MOPs with two objective functions one of which is the ℓ1-norm. Our
method can be seen as a generalization of well-known homotopy methods for linear
regression problems to the nonlinear case. Several numerical examples - including
neural network training - demonstrate our theoretical findings and the additional
insight that can be gained by this multiobjective approach.
article_type: original
author:
- first_name: Katharina
full_name: Bieker, Katharina
id: '32829'
last_name: Bieker
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with
L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern
Analysis and Machine Intelligence. 2022;44(11):7797-7808. doi:10.1109/TPAMI.2021.3114962
apa: Bieker, K., Gebken, B., & Peitz, S. (2022). On the Treatment of Optimization
Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions
on Pattern Analysis and Machine Intelligence, 44(11), 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962
bibtex: '@article{Bieker_Gebken_Peitz_2022, title={On the Treatment of Optimization
Problems with L1 Penalty Terms via Multiobjective Continuation}, volume={44},
DOI={10.1109/TPAMI.2021.3114962},
number={11}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
publisher={IEEE}, author={Bieker, Katharina and Gebken, Bennet and Peitz, Sebastian},
year={2022}, pages={7797–7808} }'
chicago: 'Bieker, Katharina, Bennet Gebken, and Sebastian Peitz. “On the Treatment
of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation.”
IEEE Transactions on Pattern Analysis and Machine Intelligence 44, no.
11 (2022): 7797–7808. https://doi.org/10.1109/TPAMI.2021.3114962.'
ieee: 'K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems
with L1 Penalty Terms via Multiobjective Continuation,” IEEE Transactions on
Pattern Analysis and Machine Intelligence, vol. 44, no. 11, pp. 7797–7808,
2022, doi: 10.1109/TPAMI.2021.3114962.'
mla: Bieker, Katharina, et al. “On the Treatment of Optimization Problems with L1
Penalty Terms via Multiobjective Continuation.” IEEE Transactions on Pattern
Analysis and Machine Intelligence, vol. 44, no. 11, IEEE, 2022, pp. 7797–808,
doi:10.1109/TPAMI.2021.3114962.
short: K. Bieker, B. Gebken, S. Peitz, IEEE Transactions on Pattern Analysis and
Machine Intelligence 44 (2022) 7797–7808.
date_created: 2020-12-15T07:46:36Z
date_updated: 2022-10-21T12:27:16Z
ddc:
- '510'
department:
- _id: '101'
- _id: '530'
- _id: '655'
doi: 10.1109/TPAMI.2021.3114962
file:
- access_level: closed
content_type: application/pdf
creator: speitz
date_created: 2021-09-25T11:59:15Z
date_updated: 2021-09-25T11:59:15Z
file_id: '25040'
file_name: On_the_Treatment_of_Optimization_Problems_with_L1_Penalty_Terms_via_Multiobjective_Continuation.pdf
file_size: 7990831
relation: main_file
success: 1
file_date_updated: 2021-09-25T11:59:15Z
has_accepted_license: '1'
intvolume: ' 44'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9547772
oa: '1'
page: 7797-7808
publication: IEEE Transactions on Pattern Analysis and Machine Intelligence
publication_status: epub_ahead
publisher: IEEE
status: public
title: On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective
Continuation
type: journal_article
user_id: '47427'
volume: 44
year: '2022'
...
---
_id: '31193'
abstract:
- lang: eng
text: "AbstractThe kinetic Brownian motion on the
sphere bundle of a Riemannian manifold $$\\mathbb
{M}$$\r\n
\ M\r\n
is a stochastic process that models a random perturbation of the geodesic flow.
If $$\\mathbb {M}$$\r\n M\r\n
\ is an orientable
compact constantly curved surface, we show that in the limit of infinitely large
perturbation the $$L^2$$\r\n \r\n
\ L\r\n 2\r\n
\ \r\n -spectrum
of the infinitesimal generator of a time-rescaled version of the process converges
to the Laplace spectrum of the base manifold."
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- 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: Kolb M, Weich T, Wolf LL. Spectral Asymptotics for Kinetic Brownian Motion
on Surfaces of Constant Curvature. Annales Henri Poincaré. 2022;23(4):1283-1296.
doi:10.1007/s00023-021-01121-5
apa: Kolb, M., Weich, T., & Wolf, L. L. (2022). Spectral Asymptotics for Kinetic
Brownian Motion on Surfaces of Constant Curvature. Annales Henri Poincaré,
23(4), 1283–1296. https://doi.org/10.1007/s00023-021-01121-5
bibtex: '@article{Kolb_Weich_Wolf_2022, title={Spectral Asymptotics for Kinetic
Brownian Motion on Surfaces of Constant Curvature}, volume={23}, DOI={10.1007/s00023-021-01121-5},
number={4}, journal={Annales Henri Poincaré}, publisher={Springer Science and
Business Media LLC}, author={Kolb, Martin and Weich, Tobias and Wolf, Lasse Lennart},
year={2022}, pages={1283–1296} }'
chicago: 'Kolb, Martin, Tobias Weich, and Lasse Lennart Wolf. “Spectral Asymptotics
for Kinetic Brownian Motion on Surfaces of Constant Curvature.” Annales Henri
Poincaré 23, no. 4 (2022): 1283–96. https://doi.org/10.1007/s00023-021-01121-5.'
ieee: 'M. Kolb, T. Weich, and L. L. Wolf, “Spectral Asymptotics for Kinetic Brownian
Motion on Surfaces of Constant Curvature,” Annales Henri Poincaré, vol.
23, no. 4, pp. 1283–1296, 2022, doi: 10.1007/s00023-021-01121-5.'
mla: Kolb, Martin, et al. “Spectral Asymptotics for Kinetic Brownian Motion on Surfaces
of Constant Curvature.” Annales Henri Poincaré, vol. 23, no. 4, Springer
Science and Business Media LLC, 2022, pp. 1283–96, doi:10.1007/s00023-021-01121-5.
short: M. Kolb, T. Weich, L.L. Wolf, Annales Henri Poincaré 23 (2022) 1283–1296.
date_created: 2022-05-11T10:46:10Z
date_updated: 2023-01-06T08:59:03Z
department:
- _id: '548'
doi: 10.1007/s00023-021-01121-5
external_id:
arxiv:
- arXiv:2011.06434
intvolume: ' 23'
issue: '4'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1283-1296
publication: Annales Henri Poincaré
publication_identifier:
issn:
- 1424-0637
- 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Spectral Asymptotics for Kinetic Brownian Motion on Surfaces of Constant Curvature
type: journal_article
user_id: '49178'
volume: 23
year: '2022'
...
---
_id: '35306'
author:
- first_name: Yannick
full_name: Guedes Bonthonneau, Yannick
last_name: Guedes Bonthonneau
- first_name: Tobias
full_name: Weich, Tobias
id: '49178'
last_name: Weich
orcid: 0000-0002-9648-6919
citation:
ama: Guedes Bonthonneau Y, Weich T. Ruelle–Pollicott resonances for manifolds with
hyperbolic cusps. Journal of the European Mathematical Society. 2022;24(3):851-923.
doi:10.4171/jems/1103
apa: Guedes Bonthonneau, Y., & Weich, T. (2022). Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps. Journal of the European Mathematical Society,
24(3), 851–923. https://doi.org/10.4171/jems/1103
bibtex: '@article{Guedes Bonthonneau_Weich_2022, title={Ruelle–Pollicott resonances
for manifolds with hyperbolic cusps}, volume={24}, DOI={10.4171/jems/1103},
number={3}, journal={Journal of the European Mathematical Society}, publisher={European
Mathematical Society - EMS - Publishing House GmbH}, author={Guedes Bonthonneau,
Yannick and Weich, Tobias}, year={2022}, pages={851–923} }'
chicago: 'Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society 24, no. 3 (2022): 851–923. https://doi.org/10.4171/jems/1103.'
ieee: 'Y. Guedes Bonthonneau and T. Weich, “Ruelle–Pollicott resonances for manifolds
with hyperbolic cusps,” Journal of the European Mathematical Society, vol.
24, no. 3, pp. 851–923, 2022, doi: 10.4171/jems/1103.'
mla: Guedes Bonthonneau, Yannick, and Tobias Weich. “Ruelle–Pollicott Resonances
for Manifolds with Hyperbolic Cusps.” Journal of the European Mathematical
Society, vol. 24, no. 3, European Mathematical Society - EMS - Publishing
House GmbH, 2022, pp. 851–923, doi:10.4171/jems/1103.
short: Y. Guedes Bonthonneau, T. Weich, Journal of the European Mathematical Society
24 (2022) 851–923.
date_created: 2023-01-05T16:23:34Z
date_updated: 2023-01-06T08:47:35Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.4171/jems/1103
intvolume: ' 24'
issue: '3'
keyword:
- Applied Mathematics
- General Mathematics
language:
- iso: eng
page: 851-923
publication: Journal of the European Mathematical Society
publication_identifier:
issn:
- 1435-9855
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: Ruelle–Pollicott resonances for manifolds with hyperbolic cusps
type: journal_article
user_id: '49178'
volume: 24
year: '2022'
...
---
_id: '34633'
article_number: '114118'
author:
- first_name: Kerstin
full_name: Hesse, Kerstin
id: '42608'
last_name: Hesse
orcid: 0000-0003-4125-1941
- first_name: Quoc Thong
full_name: Le Gia, Quoc Thong
last_name: Le Gia
citation:
ama: Hesse K, Le Gia QT. L_2 error estimates for polynomial discrete penalized least-squares
approximation on the sphere from noisy data. Journal of Computational and Applied
Mathematics. 2022;408. doi:10.1016/j.cam.2022.114118
apa: Hesse, K., & Le Gia, Q. T. (2022). L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data. Journal
of Computational and Applied Mathematics, 408, Article 114118. https://doi.org/10.1016/j.cam.2022.114118
bibtex: '@article{Hesse_Le Gia_2022, title={L_2 error estimates for polynomial discrete
penalized least-squares approximation on the sphere from noisy data}, volume={408},
DOI={10.1016/j.cam.2022.114118},
number={114118}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier
BV}, author={Hesse, Kerstin and Le Gia, Quoc Thong}, year={2022} }'
chicago: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics 408 (2022). https://doi.org/10.1016/j.cam.2022.114118.
ieee: 'K. Hesse and Q. T. Le Gia, “L_2 error estimates for polynomial discrete penalized
least-squares approximation on the sphere from noisy data,” Journal of Computational
and Applied Mathematics, vol. 408, Art. no. 114118, 2022, doi: 10.1016/j.cam.2022.114118.'
mla: Hesse, Kerstin, and Quoc Thong Le Gia. “L_2 Error Estimates for Polynomial
Discrete Penalized Least-Squares Approximation on the Sphere from Noisy Data.”
Journal of Computational and Applied Mathematics, vol. 408, 114118, Elsevier
BV, 2022, doi:10.1016/j.cam.2022.114118.
short: K. Hesse, Q.T. Le Gia, Journal of Computational and Applied Mathematics 408
(2022).
date_created: 2022-12-20T17:37:16Z
date_updated: 2023-01-09T08:23:56Z
department:
- _id: '10'
doi: 10.1016/j.cam.2022.114118
intvolume: ' 408'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
publication: Journal of Computational and Applied Mathematics
publication_identifier:
issn:
- 0377-0427
publication_status: published
publisher: Elsevier BV
status: public
title: L_2 error estimates for polynomial discrete penalized least-squares approximation
on the sphere from noisy data
type: journal_article
user_id: '14931'
volume: 408
year: '2022'
...
---
_id: '34817'
article_type: original
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Regularity of Lie groups. Communications in Analysis and Geometry.
2022;30(1):53-152. doi:10.4310/cag.2022.v30.n1.a2
apa: Hanusch, M. (2022). Regularity of Lie groups. Communications in Analysis
and Geometry, 30(1), 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2
bibtex: '@article{Hanusch_2022, title={Regularity of Lie groups}, volume={30}, DOI={10.4310/cag.2022.v30.n1.a2},
number={1}, journal={Communications in Analysis and Geometry}, publisher={International
Press of Boston}, author={Hanusch, Maximilian}, year={2022}, pages={53–152} }'
chicago: 'Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in
Analysis and Geometry 30, no. 1 (2022): 53–152. https://doi.org/10.4310/cag.2022.v30.n1.a2.'
ieee: 'M. Hanusch, “Regularity of Lie groups,” Communications in Analysis and
Geometry, vol. 30, no. 1, pp. 53–152, 2022, doi: 10.4310/cag.2022.v30.n1.a2.'
mla: Hanusch, Maximilian. “Regularity of Lie Groups.” Communications in Analysis
and Geometry, vol. 30, no. 1, International Press of Boston, 2022, pp. 53–152,
doi:10.4310/cag.2022.v30.n1.a2.
short: M. Hanusch, Communications in Analysis and Geometry 30 (2022) 53–152.
date_created: 2022-12-22T09:19:43Z
date_updated: 2023-01-09T18:07:30Z
department:
- _id: '93'
doi: 10.4310/cag.2022.v30.n1.a2
extern: '1'
intvolume: ' 30'
issue: '1'
keyword:
- regularity of Lie groups
language:
- iso: eng
page: 53-152
publication: Communications in Analysis and Geometry
publication_identifier:
issn:
- 1019-8385
- 1944-9992
publication_status: published
publisher: International Press of Boston
status: public
title: Regularity of Lie groups
type: journal_article
user_id: '30905'
volume: 30
year: '2022'
...
---
_id: '34856'
author:
- first_name: Maximilian
full_name: Hanusch, Maximilian
id: '30905'
last_name: Hanusch
citation:
ama: Hanusch M. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching
apa: Hanusch, M. (n.d.). Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
bibtex: '@book{Hanusch, title={Analysis 1 und 2 Skript/Buch}, publisher={https://maximilianhanusch.wixsite.com/my-site/lehre-teaching},
author={Hanusch, Maximilian} }'
chicago: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching,
n.d.
ieee: M. Hanusch, Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
mla: Hanusch, Maximilian. Analysis 1 und 2 Skript/Buch. https://maximilianhanusch.wixsite.com/my-site/lehre-teaching.
short: M. Hanusch, Analysis 1 und 2 Skript/Buch, https://maximilianhanusch.wixsite.com/my-site/lehre-teaching,
n.d.
date_created: 2022-12-22T17:06:02Z
date_updated: 2023-01-09T18:07:00Z
department:
- _id: '93'
language:
- iso: ger
page: '385'
publication_status: draft
publisher: https://maximilianhanusch.wixsite.com/my-site/lehre-teaching
status: public
title: Analysis 1 und 2 Skript/Buch
type: working_paper
user_id: '30905'
year: '2022'
...
---
_id: '35644'
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Alexander
full_name: Klump, Alexander
id: '45067'
last_name: Klump
citation:
ama: Kolb M, Klump A. Uniqueness of the Inverse First Passage Time Problem and the
Shape of the Shiryaev boundary. Theory of Probability and its Applications.
2022;67(4):717-744.
apa: Kolb, M., & Klump, A. (2022). Uniqueness of the Inverse First Passage Time
Problem and the Shape of the Shiryaev boundary. Theory of Probability and Its
Applications, 67(4), 717–744.
bibtex: '@article{Kolb_Klump_2022, title={Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev boundary}, volume={67}, number={4},
journal={Theory of Probability and its Applications}, publisher={Society for Industrial
and Applied Mathematics}, author={Kolb, Martin and Klump, Alexander}, year={2022},
pages={717–744} }'
chicago: 'Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications 67, no. 4 (2022): 717–44.'
ieee: M. Kolb and A. Klump, “Uniqueness of the Inverse First Passage Time Problem
and the Shape of the Shiryaev boundary,” Theory of Probability and its Applications,
vol. 67, no. 4, pp. 717–744, 2022.
mla: Kolb, Martin, and Alexander Klump. “Uniqueness of the Inverse First Passage
Time Problem and the Shape of the Shiryaev Boundary.” Theory of Probability
and Its Applications, vol. 67, no. 4, Society for Industrial and Applied Mathematics,
2022, pp. 717–44.
short: M. Kolb, A. Klump, Theory of Probability and Its Applications 67 (2022) 717–744.
date_created: 2023-01-10T08:13:17Z
date_updated: 2023-01-10T08:13:30Z
department:
- _id: '96'
intvolume: ' 67'
issue: '4'
language:
- iso: eng
page: 717-744
publication: Theory of Probability and its Applications
publication_status: published
publisher: Society for Industrial and Applied Mathematics
status: public
title: Uniqueness of the Inverse First Passage Time Problem and the Shape of the Shiryaev
boundary
type: journal_article
user_id: '85821'
volume: 67
year: '2022'
...
---
_id: '35649'
abstract:
- lang: eng
text: Motivated by the work [6] of Mariusz Bieniek, Krzysztof Burdzy and Soumik
Pal we study a Fleming-Viot-type particle system consisting of independently moving
particles each driven by generalized Bessel processes on the positive real line.
Upon hitting the boundary {0} this particle is killed and an uniformly chosen
different one branches into two particles. Using the symmetry of the model and
the self similarity property of Bessel processes, we obtain a criterion to decide
whether the particles converge to the origin at a finite time. This addresses
open problem 1.4 in [6]. Specifically, inspired by [6, Open Problem 1.5], we investigate
the case of three moving particles and refine the general result of [6, Theorem
1.1(ii)] extending the regime of drift parameters, where convergence does not
occur – even to values, where it does occur when considering the case of only
two particles.
author:
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Matthias
full_name: Liesenfeld, Matthias
last_name: Liesenfeld
citation:
ama: Kolb M, Liesenfeld M. On non-extinction in a Fleming-Viot-type particle model
with Bessel drift. Electronic Journal of Probability. 2022;(27):1-28. doi:https://doi.org/10.1214/22-EJP866
apa: Kolb, M., & Liesenfeld, M. (2022). On non-extinction in a Fleming-Viot-type
particle model with Bessel drift. Electronic Journal of Probability, 27,
1–28. https://doi.org/10.1214/22-EJP866
bibtex: '@article{Kolb_Liesenfeld_2022, title={On non-extinction in a Fleming-Viot-type
particle model with Bessel drift}, DOI={https://doi.org/10.1214/22-EJP866},
number={27}, journal={Electronic Journal of Probability}, publisher={Institute
of Mathematical Statistics}, author={Kolb, Martin and Liesenfeld, Matthias}, year={2022},
pages={1–28} }'
chicago: 'Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27 (2022): 1–28. https://doi.org/10.1214/22-EJP866.'
ieee: 'M. Kolb and M. Liesenfeld, “On non-extinction in a Fleming-Viot-type particle
model with Bessel drift,” Electronic Journal of Probability, no. 27, pp.
1–28, 2022, doi: https://doi.org/10.1214/22-EJP866.'
mla: Kolb, Martin, and Matthias Liesenfeld. “On Non-Extinction in a Fleming-Viot-Type
Particle Model with Bessel Drift.” Electronic Journal of Probability, no.
27, Institute of Mathematical Statistics, 2022, pp. 1–28, doi:https://doi.org/10.1214/22-EJP866.
short: M. Kolb, M. Liesenfeld, Electronic Journal of Probability (2022) 1–28.
date_created: 2023-01-10T08:19:25Z
date_updated: 2023-01-10T08:19:38Z
department:
- _id: '96'
doi: https://doi.org/10.1214/22-EJP866
issue: '27'
language:
- iso: eng
page: 1-28
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: On non-extinction in a Fleming-Viot-type particle model with Bessel drift
type: journal_article
user_id: '85821'
year: '2022'
...
---
_id: '35650'
abstract:
- lang: eng
text: "We consider autoregressive sequences Xn = aXn−1 + ξn and\r\nMn = max{aMn−1
, ξn} with a constant a ∈ (0, 1) and with positive, in-\r\ndependent and identically
distributed innovations {ξk }. It is known that if\r\nP(ξ1 > x) ∼ d\r\nlog x with
some d ∈ (0, − log a) then the chains {Xn} and {Mn}\r\nare null recurrent. We
investigate the tail behaviour of recurrence times in this\r\ncase of logarithmically
decaying tails. More precisely, we show that the tails\r\nof recurrence times
are regularly varying of index −1 − d/ log a. We also prove\r\nlimit theorems
for {Xn} and {Mn} conditioned to stay over a fixed level x0.\r\nFurthermore, we
study tail asymptotics for recurrence times of {Xn} and {Mn}\r\nin the case when
these chains are positive recurrent and the tail of log ξ1 is\r\nsubexponential."
author:
- first_name: Denis
full_name: Denisov, Denis
last_name: Denisov
- first_name: Günter
full_name: Hinrichs, Günter
last_name: Hinrichs
- first_name: Martin
full_name: Kolb, Martin
id: '48880'
last_name: Kolb
- first_name: Vitali
full_name: Wachtel, Vitali
last_name: Wachtel
citation:
ama: Denisov D, Hinrichs G, Kolb M, Wachtel V. Persistence of autoregressive sequences
with logarithmic tails. Electronic Journal of Probability. 2022;27:1-43.
doi:https://doi.org/10.48550/arXiv.2203.14772
apa: Denisov, D., Hinrichs, G., Kolb, M., & Wachtel, V. (2022). Persistence
of autoregressive sequences with logarithmic tails. Electronic Journal of Probability,
27, 1–43. https://doi.org/10.48550/arXiv.2203.14772
bibtex: '@article{Denisov_Hinrichs_Kolb_Wachtel_2022, title={Persistence of autoregressive
sequences with logarithmic tails}, volume={27}, DOI={https://doi.org/10.48550/arXiv.2203.14772},
journal={Electronic Journal of Probability}, publisher={Institute of Mathematical
Statistics}, author={Denisov, Denis and Hinrichs, Günter and Kolb, Martin and
Wachtel, Vitali}, year={2022}, pages={1–43} }'
chicago: 'Denisov, Denis, Günter Hinrichs, Martin Kolb, and Vitali Wachtel. “Persistence
of Autoregressive Sequences with Logarithmic Tails.” Electronic Journal of
Probability 27 (2022): 1–43. https://doi.org/10.48550/arXiv.2203.14772.'
ieee: 'D. Denisov, G. Hinrichs, M. Kolb, and V. Wachtel, “Persistence of autoregressive
sequences with logarithmic tails,” Electronic Journal of Probability, vol.
27, pp. 1–43, 2022, doi: https://doi.org/10.48550/arXiv.2203.14772.'
mla: Denisov, Denis, et al. “Persistence of Autoregressive Sequences with Logarithmic
Tails.” Electronic Journal of Probability, vol. 27, Institute of Mathematical
Statistics, 2022, pp. 1–43, doi:https://doi.org/10.48550/arXiv.2203.14772.
short: D. Denisov, G. Hinrichs, M. Kolb, V. Wachtel, Electronic Journal of Probability
27 (2022) 1–43.
date_created: 2023-01-10T08:28:12Z
date_updated: 2023-01-10T08:29:02Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.2203.14772
intvolume: ' 27'
language:
- iso: eng
page: 1-43
publication: Electronic Journal of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
status: public
title: Persistence of autoregressive sequences with logarithmic tails
type: journal_article
user_id: '85821'
volume: 27
year: '2022'
...
---
_id: '35685'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Robin
full_name: Göller, Robin
last_name: Göller
- first_name: Lara
full_name: Gildehaus, Lara
last_name: Gildehaus
- first_name: Jörg
full_name: Kortemeyer, Jörg
last_name: Kortemeyer
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Laura
full_name: Ostsieker, Laura
last_name: Ostsieker
- first_name: Jana
full_name: Rode, Jana
last_name: Rode
- first_name: Niclas
full_name: Schaper, Niclas
last_name: Schaper
citation:
ama: Liebendörfer M, Göller R, Gildehaus L, et al. The role of learning strategies
for performance in mathematics courses for engineers. International Journal
of Mathematical Education in Science and Technology. 2022;53(5):1133-1152.
doi:10.1080/0020739x.2021.2023772
apa: Liebendörfer, M., Göller, R., Gildehaus, L., Kortemeyer, J., Biehler, R., Hochmuth,
R., Ostsieker, L., Rode, J., & Schaper, N. (2022). The role of learning strategies
for performance in mathematics courses for engineers. International Journal
of Mathematical Education in Science and Technology, 53(5), 1133–1152.
https://doi.org/10.1080/0020739x.2021.2023772
bibtex: '@article{Liebendörfer_Göller_Gildehaus_Kortemeyer_Biehler_Hochmuth_Ostsieker_Rode_Schaper_2022,
title={The role of learning strategies for performance in mathematics courses
for engineers}, volume={53}, DOI={10.1080/0020739x.2021.2023772},
number={5}, journal={International Journal of Mathematical Education in Science
and Technology}, publisher={Informa UK Limited}, author={Liebendörfer, Michael
and Göller, Robin and Gildehaus, Lara and Kortemeyer, Jörg and Biehler, Rolf and
Hochmuth, Reinhard and Ostsieker, Laura and Rode, Jana and Schaper, Niclas}, year={2022},
pages={1133–1152} }'
chicago: 'Liebendörfer, Michael, Robin Göller, Lara Gildehaus, Jörg Kortemeyer,
Rolf Biehler, Reinhard Hochmuth, Laura Ostsieker, Jana Rode, and Niclas Schaper.
“The Role of Learning Strategies for Performance in Mathematics Courses for Engineers.”
International Journal of Mathematical Education in Science and Technology
53, no. 5 (2022): 1133–52. https://doi.org/10.1080/0020739x.2021.2023772.'
ieee: 'M. Liebendörfer et al., “The role of learning strategies for performance
in mathematics courses for engineers,” International Journal of Mathematical
Education in Science and Technology, vol. 53, no. 5, pp. 1133–1152, 2022,
doi: 10.1080/0020739x.2021.2023772.'
mla: Liebendörfer, Michael, et al. “The Role of Learning Strategies for Performance
in Mathematics Courses for Engineers.” International Journal of Mathematical
Education in Science and Technology, vol. 53, no. 5, Informa UK Limited, 2022,
pp. 1133–52, doi:10.1080/0020739x.2021.2023772.
short: M. Liebendörfer, R. Göller, L. Gildehaus, J. Kortemeyer, R. Biehler, R. Hochmuth,
L. Ostsieker, J. Rode, N. Schaper, International Journal of Mathematical Education
in Science and Technology 53 (2022) 1133–1152.
date_created: 2023-01-10T08:56:30Z
date_updated: 2023-01-10T08:58:56Z
department:
- _id: '363'
doi: 10.1080/0020739x.2021.2023772
intvolume: ' 53'
issue: '5'
keyword:
- Applied Mathematics
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
page: 1133-1152
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: The role of learning strategies for performance in mathematics courses for
engineers
type: journal_article
user_id: '37888'
volume: 53
year: '2022'
...
---
_id: '35718'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Hubert
full_name: Langlotz, Hubert
last_name: Langlotz
- first_name: Wilfried
full_name: Zappe, Wilfried
last_name: Zappe
citation:
ama: Biehler R, Langlotz H, Zappe W. Alles normal?! Daten auf Normalverteilung prüfen–mit
schulischen Mitteln. mathematik lehren. 2022;2022(232):41–45.
apa: Biehler, R., Langlotz, H., & Zappe, W. (2022). Alles normal?! Daten auf
Normalverteilung prüfen–mit schulischen Mitteln. Mathematik Lehren, 2022(232),
41–45.
bibtex: '@article{Biehler_Langlotz_Zappe_2022, title={Alles normal?! Daten auf Normalverteilung
prüfen–mit schulischen Mitteln}, volume={2022}, number={232}, journal={mathematik
lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Langlotz, Hubert
and Zappe, Wilfried}, year={2022}, pages={41–45} }'
chicago: 'Biehler, Rolf, Hubert Langlotz, and Wilfried Zappe. “Alles Normal?! Daten
Auf Normalverteilung Prüfen–Mit Schulischen Mitteln.” Mathematik Lehren
2022, no. 232 (2022): 41–45.'
ieee: R. Biehler, H. Langlotz, and W. Zappe, “Alles normal?! Daten auf Normalverteilung
prüfen–mit schulischen Mitteln,” mathematik lehren, vol. 2022, no. 232,
pp. 41–45, 2022.
mla: Biehler, Rolf, et al. “Alles Normal?! Daten Auf Normalverteilung Prüfen–Mit
Schulischen Mitteln.” Mathematik Lehren, vol. 2022, no. 232, Friedrich
Verlag, 2022, pp. 41–45.
short: R. Biehler, H. Langlotz, W. Zappe, Mathematik Lehren 2022 (2022) 41–45.
date_created: 2023-01-10T09:25:23Z
date_updated: 2023-01-11T08:02:49Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
intvolume: ' 2022'
issue: '232'
language:
- iso: eng
page: 41–45
publication: mathematik lehren
publisher: Friedrich Verlag
status: public
title: Alles normal?! Daten auf Normalverteilung prüfen–mit schulischen Mitteln
type: journal_article
user_id: '37888'
volume: 2022
year: '2022'
...
---
_id: '35696'
abstract:
- lang: eng
text: 'The data age has led to curriculum developments promoting the relevance
of stochastics in mathematics education. This has resulted in an increased demand
for teacher professional development (PD) courses, and thus in a rising number
of facilitators for this purpose. Their expertise, however, remains under-researched,
even though facilitators are the crucial factor in PD success. Our study aims
at revealing how one aspect of facilitator expertise, orientation, is connected
to other aspects: views on content goals, perception of possible challenges, and
attitude towards teaching resources. The explorations reveal differing orientations
and learning goals with identical teaching resources for two facilitators who
had also been working as a team for the re-design of the PD course for years.'
author:
- first_name: Ralf
full_name: Nieszporek, Ralf
id: '59608'
last_name: Nieszporek
- first_name: Birgit
full_name: Griese, Birgit
last_name: Griese
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Nieszporek R, Griese B, Biehler R. Facilitators’ Orientations Towards Learning
Goals, Perceived Challenges, and Teaching Resources for a PD Course on Conditional
Probability. In: Peters SA, Zapata-Cardona L, Bonafini F, Fan A, eds. Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics. International
Association for Statistical Education; 2022. doi:10.52041/iase.icots11.t4b2'
apa: 'Nieszporek, R., Griese, B., & Biehler, R. (2022). Facilitators’ Orientations
Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD
Course on Conditional Probability. In S. A. Peters, L. Zapata-Cardona, F. Bonafini,
& A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s Learners
in Statistics. Proceedings of the Eleventh International Conference on Teaching
Statistics. International Association for Statistical Education. https://doi.org/10.52041/iase.icots11.t4b2'
bibtex: '@inbook{Nieszporek_Griese_Biehler_2022, place={Rosario, Argentina}, title={Facilitators’
Orientations Towards Learning Goals, Perceived Challenges, and Teaching Resources
for a PD Course on Conditional Probability}, DOI={10.52041/iase.icots11.t4b2},
booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics},
publisher={International Association for Statistical Education}, author={Nieszporek,
Ralf and Griese, Birgit and Biehler, Rolf}, editor={Peters, S. A. and Zapata-Cardona,
L. and Bonafini, F. and Fan, A.}, year={2022} }'
chicago: 'Nieszporek, Ralf, Birgit Griese, and Rolf Biehler. “Facilitators’ Orientations
Towards Learning Goals, Perceived Challenges, and Teaching Resources for a PD
Course on Conditional Probability.” In Bridging the Gap: Empowering and Educating
Today’s Learners in Statistics. Proceedings of the Eleventh International Conference
on Teaching Statistics, edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini,
and A. Fan. Rosario, Argentina: International Association for Statistical Education,
2022. https://doi.org/10.52041/iase.icots11.t4b2.'
ieee: 'R. Nieszporek, B. Griese, and R. Biehler, “Facilitators’ Orientations Towards
Learning Goals, Perceived Challenges, and Teaching Resources for a PD Course on
Conditional Probability,” in Bridging the Gap: Empowering and Educating Today’s
Learners in Statistics. Proceedings of the Eleventh International Conference on
Teaching Statistics, S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A.
Fan, Eds. Rosario, Argentina: International Association for Statistical Education,
2022.'
mla: 'Nieszporek, Ralf, et al. “Facilitators’ Orientations Towards Learning Goals,
Perceived Challenges, and Teaching Resources for a PD Course on Conditional Probability.”
Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics,
edited by S. A. Peters et al., International Association for Statistical Education,
2022, doi:10.52041/iase.icots11.t4b2.'
short: 'R. Nieszporek, B. Griese, R. Biehler, in: S.A. Peters, L. Zapata-Cardona,
F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and Educating Today’s
Learners in Statistics. Proceedings of the Eleventh International Conference on
Teaching Statistics, International Association for Statistical Education, Rosario,
Argentina, 2022.'
date_created: 2023-01-10T09:01:02Z
date_updated: 2023-01-11T08:07:52Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.52041/iase.icots11.t4b2
editor:
- first_name: S. A.
full_name: Peters, S. A.
last_name: Peters
- first_name: L.
full_name: Zapata-Cardona, L.
last_name: Zapata-Cardona
- first_name: F.
full_name: Bonafini, F.
last_name: Bonafini
- first_name: A.
full_name: Fan, A.
last_name: Fan
language:
- iso: eng
place: Rosario, Argentina
publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics'
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Facilitators’ Orientations Towards Learning Goals, Perceived Challenges, and
Teaching Resources for a PD Course on Conditional Probability
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '34919'
abstract:
- lang: eng
text: Fundamental ideas (Burrill & Biehler, 2011) have been specified
to structure the curriculum across different age levels and to focus on and revisit
the most important ideas. Such ideas must be based on an epistemological analysis
of the scientific domain of statistics and its applications. Because these domains
are changing, fundamental ideas have to be revisited from time to time. In particular,
data science and machine learning have led to new methods and applications in
society that must be considered for updating fundamental ideas.
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Biehler R. Revisiting Fundamental Ideas for Statistics Education From the
Perspective of Machine Learning and Its Applications. In: Peters SA, Zapata-Cardona
L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s
Learners in Statistics. Proceedings of the Eleventh International Conference on
Teaching Statistics. International Association for Statistical Education;
2022. doi:10.52041/iase.icots11.t1a2'
apa: 'Biehler, R. (2022). Revisiting Fundamental Ideas for Statistics Education
From the Perspective of Machine Learning and Its Applications. In S. A. Peters,
L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering
and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International
Conference on Teaching Statistics. International Association for Statistical
Education. https://doi.org/10.52041/iase.icots11.t1a2'
bibtex: '@inproceedings{Biehler_2022, title={Revisiting Fundamental Ideas for Statistics
Education From the Perspective of Machine Learning and Its Applications}, DOI={10.52041/iase.icots11.t1a2},
booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics},
publisher={International Association for Statistical Education}, author={Biehler,
Rolf}, editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan,
A.}, year={2022} }'
chicago: 'Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education
From the Perspective of Machine Learning and Its Applications.” In Bridging
the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics, edited by
S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International Association
for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t1a2.'
ieee: 'R. Biehler, “Revisiting Fundamental Ideas for Statistics Education From the
Perspective of Machine Learning and Its Applications,” in Bridging the Gap:
Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh
International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t1a2.'
mla: 'Biehler, Rolf. “Revisiting Fundamental Ideas for Statistics Education From
the Perspective of Machine Learning and Its Applications.” Bridging the Gap:
Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh
International Conference on Teaching Statistics, edited by S. A. Peters et
al., International Association for Statistical Education, 2022, doi:10.52041/iase.icots11.t1a2.'
short: 'R. Biehler, in: S.A. Peters, L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.),
Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings
of the Eleventh International Conference on Teaching Statistics, International
Association for Statistical Education, 2022.'
date_created: 2022-12-23T11:09:52Z
date_updated: 2023-01-11T08:45:02Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.52041/iase.icots11.t1a2
editor:
- first_name: S. A.
full_name: Peters, S. A.
last_name: Peters
- first_name: L.
full_name: Zapata-Cardona, L.
last_name: Zapata-Cardona
- first_name: F.
full_name: Bonafini, F.
last_name: Bonafini
- first_name: A.
full_name: Fan, A.
last_name: Fan
language:
- iso: eng
publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics'
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Revisiting Fundamental Ideas for Statistics Education From the Perspective
of Machine Learning and Its Applications
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '34920'
abstract:
- lang: eng
text: A very warm welcome to this Special Issue of the Statistics Education
Research Journal (SERJ) on data science education. Our hope is to give an overview
of selected theoretical thoughts and empirical studies on data science education
from a statistics education research perspective. Data science education is rapidly
developing but research into data science education is still in its infancy. The
current issue presents a snapshot of this developing field.
article_number: '1'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Richard
full_name: De Veaux, Richard
last_name: De Veaux
- first_name: Joachim
full_name: Engel, Joachim
last_name: Engel
- first_name: Sibel
full_name: Kazak, Sibel
last_name: Kazak
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
citation:
ama: 'Biehler R, De Veaux R, Engel J, Kazak S, Frischemeier D. Editorial: Research
on Data Science Education. Statistics Education Research Journal. 2022;21(2).
doi:10.52041/serj.v21i2.606'
apa: 'Biehler, R., De Veaux, R., Engel, J., Kazak, S., & Frischemeier, D. (2022).
Editorial: Research on Data Science Education. Statistics Education Research
Journal, 21(2), Article 1. https://doi.org/10.52041/serj.v21i2.606'
bibtex: '@article{Biehler_De Veaux_Engel_Kazak_Frischemeier_2022, title={Editorial:
Research on Data Science Education}, volume={21}, DOI={10.52041/serj.v21i2.606},
number={21}, journal={Statistics Education Research Journal}, publisher={International
Association for Statistical Education}, author={Biehler, Rolf and De Veaux, Richard
and Engel, Joachim and Kazak, Sibel and Frischemeier, Daniel}, year={2022} }'
chicago: 'Biehler, Rolf, Richard De Veaux, Joachim Engel, Sibel Kazak, and Daniel
Frischemeier. “Editorial: Research on Data Science Education.” Statistics Education
Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.606.'
ieee: 'R. Biehler, R. De Veaux, J. Engel, S. Kazak, and D. Frischemeier, “Editorial:
Research on Data Science Education,” Statistics Education Research Journal,
vol. 21, no. 2, Art. no. 1, 2022, doi: 10.52041/serj.v21i2.606.'
mla: 'Biehler, Rolf, et al. “Editorial: Research on Data Science Education.” Statistics
Education Research Journal, vol. 21, no. 2, 1, International Association for
Statistical Education, 2022, doi:10.52041/serj.v21i2.606.'
short: R. Biehler, R. De Veaux, J. Engel, S. Kazak, D. Frischemeier, Statistics
Education Research Journal 21 (2022).
date_created: 2022-12-23T11:20:39Z
date_updated: 2023-01-11T08:46:32Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
doi: 10.52041/serj.v21i2.606
intvolume: ' 21'
issue: '2'
keyword:
- Education
- Statistics and Probability
language:
- iso: eng
publication: Statistics Education Research Journal
publication_identifier:
issn:
- 1570-1824
publication_status: published
publisher: International Association for Statistical Education
status: public
title: 'Editorial: Research on Data Science Education'
type: journal_article
user_id: '37888'
volume: 21
year: '2022'
...
---
_id: '35926'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Birgit
full_name: Griese, Birgit
last_name: Griese
citation:
ama: 'Biehler R, Griese B. Modellieren im Stochastikunterricht: Annahmen hinterfragen,
Ergebnisse validieren. mathematik lehren. 2022;2022(232):2–6.'
apa: 'Biehler, R., & Griese, B. (2022). Modellieren im Stochastikunterricht:
Annahmen hinterfragen, Ergebnisse validieren. Mathematik Lehren, 2022(232),
2–6.'
bibtex: '@article{Biehler_Griese_2022, title={Modellieren im Stochastikunterricht:
Annahmen hinterfragen, Ergebnisse validieren}, volume={2022}, number={232}, journal={mathematik
lehren}, publisher={Friedrich Verlag}, author={Biehler, Rolf and Griese, Birgit},
year={2022}, pages={2–6} }'
chicago: 'Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht:
Annahmen Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren 2022,
no. 232 (2022): 2–6.'
ieee: 'R. Biehler and B. Griese, “Modellieren im Stochastikunterricht: Annahmen
hinterfragen, Ergebnisse validieren,” mathematik lehren, vol. 2022, no.
232, pp. 2–6, 2022.'
mla: 'Biehler, Rolf, and Birgit Griese. “Modellieren Im Stochastikunterricht: Annahmen
Hinterfragen, Ergebnisse Validieren.” Mathematik Lehren, vol. 2022, no.
232, Friedrich Verlag, 2022, pp. 2–6.'
short: R. Biehler, B. Griese, Mathematik Lehren 2022 (2022) 2–6.
date_created: 2023-01-11T08:49:12Z
date_updated: 2023-01-11T08:50:14Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
intvolume: ' 2022'
issue: '232'
language:
- iso: eng
page: 2–6
publication: mathematik lehren
publisher: Friedrich Verlag
status: public
title: 'Modellieren im Stochastikunterricht: Annahmen hinterfragen, Ergebnisse validieren'
type: journal_article
user_id: '37888'
volume: 2022
year: '2022'
...
---
_id: '31367'
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. Schnittstellenaufgaben in der Analysis I zur Verknüpfung
von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.
In: Halverscheid S, Kersten I, Schmidt-Thieme B, eds. Bedarfsgerechte fachmathematische
Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen
. Springer Spektrum; 2022:351-368.'
apa: Hoffmann, M., & Biehler, R. (2022). Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie. In S. Halverscheid, I. Kersten, & B. Schmidt-Thieme
(Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen (pp. 351–368). Springer Spektrum.
bibtex: '@inproceedings{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben
in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele
und Ergebnisse einer Evaluationsstudie.}, booktitle={ Bedarfsgerechte fachmathematische
Lehramtsausbildung. Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen
}, publisher={Springer Spektrum}, author={Hoffmann, Max and Biehler, Rolf}, editor={Halverscheid,
Stefan and Kersten, Ina and Schmidt-Thieme, Barbara}, year={2022}, pages={351–368}
}'
chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis
I zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.” In Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited
by Stefan Halverscheid, Ina Kersten, and Barbara Schmidt-Thieme, 351–68. Wiesbaden:
Springer Spektrum, 2022.'
ieee: M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur
Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.,” in Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , 2022,
pp. 351–368.
mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I
zur Verknüpfung von Schul- und Hochschulmathematik - Aufgabenbeispiele und Ergebnisse
einer Evaluationsstudie.” Bedarfsgerechte fachmathematische Lehramtsausbildung.
Analyse, Zielsetzungen und Konzepte unter heterogenen Voraussetzungen , edited
by Stefan Halverscheid et al., Springer Spektrum, 2022, pp. 351–68.
short: 'M. Hoffmann, R. Biehler, in: S. Halverscheid, I. Kersten, B. Schmidt-Thieme
(Eds.), Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen , Springer Spektrum, Wiesbaden,
2022, pp. 351–368.'
date_created: 2022-05-22T14:16:52Z
date_updated: 2023-01-11T15:28:21Z
department:
- _id: '97'
editor:
- first_name: Stefan
full_name: Halverscheid, Stefan
last_name: Halverscheid
- first_name: Ina
full_name: Kersten, Ina
last_name: Kersten
- first_name: Barbara
full_name: Schmidt-Thieme, Barbara
last_name: Schmidt-Thieme
language:
- iso: ger
page: 351-368
place: Wiesbaden
publication: ' Bedarfsgerechte fachmathematische Lehramtsausbildung. Analyse, Zielsetzungen
und Konzepte unter heterogenen Voraussetzungen '
publication_status: published
publisher: Springer Spektrum
quality_controlled: '1'
status: public
title: Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik
- Aufgabenbeispiele und Ergebnisse einer Evaluationsstudie.
type: conference
user_id: '32202'
year: '2022'
...
---
_id: '31365'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: 'Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: Isaev V, Eichler
A, Loose F, eds. Professionsorientierte Fachwissenschaft. Kohärenzstiftende
Lerngelegenheiten für das Lehramtsstudium Mathematik. Springer; 2022:49–72.
doi:10.1007/978-3-662-63948-1_4'
apa: Biehler, R., & Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.
In V. Isaev, A. Eichler, & F. Loose (Eds.), Professionsorientierte Fachwissenschaft.
Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium Mathematik (pp.
49–72). Springer. https://doi.org/10.1007/978-3-662-63948-1_4
bibtex: '@inproceedings{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen
als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung
konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre
im gymnasialen Lehramtsstudium}, DOI={10.1007/978-3-662-63948-1_4},
booktitle={ Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik}, publisher={Springer}, author={Biehler, Rolf
and Hoffmann, Max}, editor={Isaev, Viktor and Eichler, Andreas and Loose, Frank},
year={2022}, pages={49–72} }'
chicago: 'Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
In Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik, edited by Viktor Isaev, Andreas Eichler,
and Frank Loose, 49–72. Berlin, Heidelberg: Springer, 2022. https://doi.org/10.1007/978-3-662-63948-1_4.'
ieee: 'R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
– Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in Professionsorientierte
Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium
Mathematik, 2022, pp. 49–72, doi: 10.1007/978-3-662-63948-1_4.'
mla: Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik, edited by Viktor Isaev et al., Springer,
2022, pp. 49–72, doi:10.1007/978-3-662-63948-1_4.
short: 'R. Biehler, M. Hoffmann, in: V. Isaev, A. Eichler, F. Loose (Eds.), Professionsorientierte
Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten für das Lehramtsstudium
Mathematik, Springer, Berlin, Heidelberg, 2022, pp. 49–72.'
date_created: 2022-05-22T14:03:58Z
date_updated: 2023-01-11T15:29:09Z
department:
- _id: '97'
doi: 10.1007/978-3-662-63948-1_4
editor:
- first_name: Viktor
full_name: Isaev, Viktor
last_name: Isaev
- first_name: Andreas
full_name: Eichler, Andreas
last_name: Eichler
- first_name: Frank
full_name: Loose, Frank
last_name: Loose
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4
page: ' 49–72'
place: Berlin, Heidelberg
publication: ' Professionsorientierte Fachwissenschaft. Kohärenzstiftende Lerngelegenheiten
für das Lehramtsstudium Mathematik'
publication_identifier:
isbn:
- '9783662639474'
- '9783662639481'
issn:
- 2197-8751
- 2197-876X
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für
die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer
Lehre im gymnasialen Lehramtsstudium
type: conference
user_id: '32202'
year: '2022'
...
---
_id: '35698'
author:
- first_name: Mirko
full_name: Schürmann, Mirko
id: '59707'
last_name: Schürmann
orcid: 0000-0003-2646-085X
- first_name: C.
full_name: Büdenbender-Kuklinski, C.
last_name: Büdenbender-Kuklinski
- first_name: Elisa
full_name: Lankeit, Elisa
last_name: Lankeit
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: R.
full_name: Hochmuth, R.
last_name: Hochmuth
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: N.
full_name: Schaper, N.
last_name: Schaper
citation:
ama: Schürmann M, Büdenbender-Kuklinski C, Lankeit E, et al. Dokumentation Der
Erhebungsinstrumente Des Projekts WiGeMath. LibreCat University; 2022. doi:10.17170/KOBRA-202205176188
apa: Schürmann, M., Büdenbender-Kuklinski, C., Lankeit, E., Liebendörfer, M., Hochmuth,
R., Biehler, R., & Schaper, N. (2022). Dokumentation der Erhebungsinstrumente
des Projekts WiGeMath. LibreCat University. https://doi.org/10.17170/KOBRA-202205176188
bibtex: '@book{Schürmann_Büdenbender-Kuklinski_Lankeit_Liebendörfer_Hochmuth_Biehler_Schaper_2022,
title={Dokumentation der Erhebungsinstrumente des Projekts WiGeMath}, DOI={10.17170/KOBRA-202205176188},
publisher={LibreCat University}, author={Schürmann, Mirko and Büdenbender-Kuklinski,
C. and Lankeit, Elisa and Liebendörfer, Michael and Hochmuth, R. and Biehler,
Rolf and Schaper, N.}, year={2022} }'
chicago: Schürmann, Mirko, C. Büdenbender-Kuklinski, Elisa Lankeit, Michael Liebendörfer,
R. Hochmuth, Rolf Biehler, and N. Schaper. Dokumentation Der Erhebungsinstrumente
Des Projekts WiGeMath. LibreCat University, 2022. https://doi.org/10.17170/KOBRA-202205176188.
ieee: M. Schürmann et al., Dokumentation der Erhebungsinstrumente des
Projekts WiGeMath. LibreCat University, 2022.
mla: Schürmann, Mirko, et al. Dokumentation Der Erhebungsinstrumente Des Projekts
WiGeMath. LibreCat University, 2022, doi:10.17170/KOBRA-202205176188.
short: M. Schürmann, C. Büdenbender-Kuklinski, E. Lankeit, M. Liebendörfer, R. Hochmuth,
R. Biehler, N. Schaper, Dokumentation Der Erhebungsinstrumente Des Projekts WiGeMath,
LibreCat University, 2022.
date_created: 2023-01-10T09:04:26Z
date_updated: 2023-01-17T23:33:52Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '423'
doi: 10.17170/KOBRA-202205176188
publisher: LibreCat University
status: public
title: Dokumentation der Erhebungsinstrumente des Projekts WiGeMath
type: research_data
user_id: '14931'
year: '2022'
...
---
_id: '37470'
abstract:
- lang: eng
text: 'AbstractWhen the COVID-19 pandemic began,
many universities switched to fully online teaching. This unexpected switching
to online teaching was challenging for both teachers and students, and restrictions
that were put in place because of pandemic made this challenge even greater. However,
new ways of teaching might also open new opportunities for students’ learning.
The research question driving our study was as follows: how do students regulate
their learning and specifically their choice of resources and peer learning in
university mathematics classes that are fully taught online as offered during
the COVID-19 pandemic? We report on a longitudinal, qualitative study in which
students recorded a brief audio diary twice a week over one whole semester (14 weeks).
We focused on three students who completed 70 interviews in total and finished
the semester with varying degrees of success. The results show how the students
structured their studying (e.g., the roles that deadlines or synchronous teaching
events played). They illustrate the strengths and limitations of digital materials
provided by the lecturer and the use of complementary media. Further, the pandemic
uncovered the double-edged role of simple, often anonymous exchanges (e.g., via
Discord servers), with few binding forces for either side, and the significance
of stable learning partnerships for students’ success. Our research highlights
aspects that should be focal points when comparing traditional instruction and
online instruction during the pandemic from a self-regulatory perspective. Practical
implications refer to how these aspects can be combined sensibly in fully online
courses, but also in blended learning contexts.'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Leander
full_name: Kempen, Leander
last_name: Kempen
- first_name: Stanislaw
full_name: Schukajlow, Stanislaw
last_name: Schukajlow
citation:
ama: 'Liebendörfer M, Kempen L, Schukajlow S. First-year university students’ self-regulated
learning during the COVID-19 pandemic: a qualitative longitudinal study. ZDM
– Mathematics Education. Published online 2022. doi:10.1007/s11858-022-01444-5'
apa: 'Liebendörfer, M., Kempen, L., & Schukajlow, S. (2022). First-year university
students’ self-regulated learning during the COVID-19 pandemic: a qualitative
longitudinal study. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-022-01444-5'
bibtex: '@article{Liebendörfer_Kempen_Schukajlow_2022, title={First-year university
students’ self-regulated learning during the COVID-19 pandemic: a qualitative
longitudinal study}, DOI={10.1007/s11858-022-01444-5},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Liebendörfer, Michael and Kempen, Leander and Schukajlow,
Stanislaw}, year={2022} }'
chicago: 'Liebendörfer, Michael, Leander Kempen, and Stanislaw Schukajlow. “First-Year
University Students’ Self-Regulated Learning during the COVID-19 Pandemic: A Qualitative
Longitudinal Study.” ZDM – Mathematics Education, 2022. https://doi.org/10.1007/s11858-022-01444-5.'
ieee: 'M. Liebendörfer, L. Kempen, and S. Schukajlow, “First-year university students’
self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal
study,” ZDM – Mathematics Education, 2022, doi: 10.1007/s11858-022-01444-5.'
mla: 'Liebendörfer, Michael, et al. “First-Year University Students’ Self-Regulated
Learning during the COVID-19 Pandemic: A Qualitative Longitudinal Study.” ZDM
– Mathematics Education, Springer Science and Business Media LLC, 2022, doi:10.1007/s11858-022-01444-5.'
short: M. Liebendörfer, L. Kempen, S. Schukajlow, ZDM – Mathematics Education (2022).
date_created: 2023-01-18T22:22:25Z
date_updated: 2023-01-18T22:44:06Z
department:
- _id: '10'
doi: 10.1007/s11858-022-01444-5
keyword:
- General Mathematics
- Education
language:
- iso: eng
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'First-year university students'' self-regulated learning during the COVID-19
pandemic: a qualitative longitudinal study'
type: journal_article
user_id: '30933'
year: '2022'
...
---
_id: '37472'
abstract:
- lang: eng
text: AbstractAs earlier research results suggest
that many mathematics teaching students criticize a missing relevance in their
studies, we explore explanations and interrelationships of their relevance assessments.
We aim at finding out how one could support the students in attributing relevance
to their study programs. A two-fold model for relevance assessments in mathematics
teacher education is proposed, consisting of relevance content and relevance reasons.
We investigate students' relevance perceptions of mathematical topics and of topics’
complexities, as well as their rating of individual and societal/ vocational relevance
reasons, all in relation to their perception of the relevance of their overall
program of study. Contrary to earlier research findings, our results suggest that
mathematics teaching students already do attribute relevance to many content areas
and that a preparation for the teaching profession is not the only reason for
them to assign relevance. There also seem to be many students who would attribute
relevance if they could develop as individuals and pursue their interests. We
suggest that giving students opportunities to set individual priorities in their
studies could hence support their relevance assessments. As low relevance assessments
seem to be connected to students’ motivational problems, students might profit
from motivational support, as well.
author:
- first_name: Christiane
full_name: Büdenbender-Kuklinski, Christiane
last_name: Büdenbender-Kuklinski
- first_name: Reinhard
full_name: Hochmuth, Reinhard
last_name: Hochmuth
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
citation:
ama: Büdenbender-Kuklinski C, Hochmuth R, Liebendörfer M. Exploring the Perceived
Relevance of University Mathematics Studies by First-Semester Teaching Students.
International Journal of Research in Undergraduate Mathematics Education.
Published online 2022. doi:10.1007/s40753-022-00188-7
apa: Büdenbender-Kuklinski, C., Hochmuth, R., & Liebendörfer, M. (2022). Exploring
the Perceived Relevance of University Mathematics Studies by First-Semester Teaching
Students. International Journal of Research in Undergraduate Mathematics Education.
https://doi.org/10.1007/s40753-022-00188-7
bibtex: '@article{Büdenbender-Kuklinski_Hochmuth_Liebendörfer_2022, title={Exploring
the Perceived Relevance of University Mathematics Studies by First-Semester Teaching
Students}, DOI={10.1007/s40753-022-00188-7},
journal={International Journal of Research in Undergraduate Mathematics Education},
publisher={Springer Science and Business Media LLC}, author={Büdenbender-Kuklinski,
Christiane and Hochmuth, Reinhard and Liebendörfer, Michael}, year={2022} }'
chicago: Büdenbender-Kuklinski, Christiane, Reinhard Hochmuth, and Michael Liebendörfer.
“Exploring the Perceived Relevance of University Mathematics Studies by First-Semester
Teaching Students.” International Journal of Research in Undergraduate Mathematics
Education, 2022. https://doi.org/10.1007/s40753-022-00188-7.
ieee: 'C. Büdenbender-Kuklinski, R. Hochmuth, and M. Liebendörfer, “Exploring the
Perceived Relevance of University Mathematics Studies by First-Semester Teaching
Students,” International Journal of Research in Undergraduate Mathematics Education,
2022, doi: 10.1007/s40753-022-00188-7.'
mla: Büdenbender-Kuklinski, Christiane, et al. “Exploring the Perceived Relevance
of University Mathematics Studies by First-Semester Teaching Students.” International
Journal of Research in Undergraduate Mathematics Education, Springer Science
and Business Media LLC, 2022, doi:10.1007/s40753-022-00188-7.
short: C. Büdenbender-Kuklinski, R. Hochmuth, M. Liebendörfer, International Journal
of Research in Undergraduate Mathematics Education (2022).
date_created: 2023-01-18T22:22:49Z
date_updated: 2023-01-18T22:43:43Z
department:
- _id: '10'
doi: 10.1007/s40753-022-00188-7
keyword:
- Education
- Mathematics (miscellaneous)
language:
- iso: eng
publication: International Journal of Research in Undergraduate Mathematics Education
publication_identifier:
issn:
- 2198-9745
- 2198-9753
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Exploring the Perceived Relevance of University Mathematics Studies by First-Semester
Teaching Students
type: journal_article
user_id: '30933'
year: '2022'
...
---
_id: '35577'
article_number: '108'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion
system modeling bacterial motion on a nutrient-poor agar. Calculus of Variations
and Partial Differential Equations. 2022;61.
apa: Winkler, M. (2022). Stabilization of arbitrary structures in a doubly degenerate
reaction-diffusion system modeling bacterial motion on a nutrient-poor agar. Calculus
of Variations and Partial Differential Equations, 61, Article 108.
bibtex: '@article{Winkler_2022, title={Stabilization of arbitrary structures in
a doubly degenerate reaction-diffusion system modeling bacterial motion on a nutrient-poor
agar.}, volume={61}, number={108}, journal={Calculus of Variations and Partial
Differential Equations}, author={Winkler, Michael}, year={2022} }'
chicago: Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate
Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.”
Calculus of Variations and Partial Differential Equations 61 (2022).
ieee: M. Winkler, “Stabilization of arbitrary structures in a doubly degenerate
reaction-diffusion system modeling bacterial motion on a nutrient-poor agar.,”
Calculus of Variations and Partial Differential Equations, vol. 61, Art.
no. 108, 2022.
mla: Winkler, Michael. “Stabilization of Arbitrary Structures in a Doubly Degenerate
Reaction-Diffusion System Modeling Bacterial Motion on a Nutrient-Poor Agar.”
Calculus of Variations and Partial Differential Equations, vol. 61, 108,
2022.
short: M. Winkler, Calculus of Variations and Partial Differential Equations 61
(2022).
date_created: 2023-01-09T16:38:12Z
date_updated: 2023-01-20T13:17:28Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 61'
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
status: public
title: Stabilization of arbitrary structures in a doubly degenerate reaction-diffusion
system modeling bacterial motion on a nutrient-poor agar.
type: journal_article
user_id: '15645'
volume: 61
year: '2022'
...
---
_id: '35599'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Winkler M. Chemotaxis-Stokes interaction with very weak diffusion enhancement:
Blow-up exclusion via detection of absorption-induced entropy structures involving
multiplicative couplings. Advanced Nonlinear Studies. 2022;22:88-117.'
apa: 'Winkler, M. (2022). Chemotaxis-Stokes interaction with very weak diffusion
enhancement: Blow-up exclusion via detection of absorption-induced entropy structures
involving multiplicative couplings. Advanced Nonlinear Studies, 22,
88–117.'
bibtex: '@article{Winkler_2022, title={Chemotaxis-Stokes interaction with very weak
diffusion enhancement: Blow-up exclusion via detection of absorption-induced entropy
structures involving multiplicative couplings.}, volume={22}, journal={Advanced
Nonlinear Studies}, author={Winkler, Michael}, year={2022}, pages={88–117} }'
chicago: 'Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion
Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures
Involving Multiplicative Couplings.” Advanced Nonlinear Studies 22 (2022):
88–117.'
ieee: 'M. Winkler, “Chemotaxis-Stokes interaction with very weak diffusion enhancement:
Blow-up exclusion via detection of absorption-induced entropy structures involving
multiplicative couplings.,” Advanced Nonlinear Studies, vol. 22, pp. 88–117,
2022.'
mla: 'Winkler, Michael. “Chemotaxis-Stokes Interaction with Very Weak Diffusion
Enhancement: Blow-up Exclusion via Detection of Absorption-Induced Entropy Structures
Involving Multiplicative Couplings.” Advanced Nonlinear Studies, vol. 22,
2022, pp. 88–117.'
short: M. Winkler, Advanced Nonlinear Studies 22 (2022) 88–117.
date_created: 2023-01-09T17:15:07Z
date_updated: 2023-01-20T13:17:08Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 22'
language:
- iso: eng
page: 88-117
publication: Advanced Nonlinear Studies
status: public
title: 'Chemotaxis-Stokes interaction with very weak diffusion enhancement: Blow-up
exclusion via detection of absorption-induced entropy structures involving multiplicative
couplings.'
type: journal_article
user_id: '15645'
volume: 22
year: '2022'
...
---
_id: '35597'
article_number: '103407'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Winkler M. Small-signal solutions of a two-dimensional doubly degenerate taxis
system modeling bacterial motion in a nutrient-poor environments. Nonlinear
Analysis: Real World Applications. 2022;63.'
apa: 'Winkler, M. (2022). Small-signal solutions of a two-dimensional doubly degenerate
taxis system modeling bacterial motion in a nutrient-poor environments. Nonlinear
Analysis: Real World Applications, 63, Article 103407.'
bibtex: '@article{Winkler_2022, title={Small-signal solutions of a two-dimensional
doubly degenerate taxis system modeling bacterial motion in a nutrient-poor environments.},
volume={63}, number={103407}, journal={Nonlinear Analysis: Real World Applications},
author={Winkler, Michael}, year={2022} }'
chicago: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly
Degenerate Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.”
Nonlinear Analysis: Real World Applications 63 (2022).'
ieee: 'M. Winkler, “Small-signal solutions of a two-dimensional doubly degenerate
taxis system modeling bacterial motion in a nutrient-poor environments.,” Nonlinear
Analysis: Real World Applications, vol. 63, Art. no. 103407, 2022.'
mla: 'Winkler, Michael. “Small-Signal Solutions of a Two-Dimensional Doubly Degenerate
Taxis System Modeling Bacterial Motion in a Nutrient-Poor Environments.” Nonlinear
Analysis: Real World Applications, vol. 63, 103407, 2022.'
short: 'M. Winkler, Nonlinear Analysis: Real World Applications 63 (2022).'
date_created: 2023-01-09T17:03:24Z
date_updated: 2023-01-20T13:17:16Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 63'
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
status: public
title: Small-signal solutions of a two-dimensional doubly degenerate taxis system
modeling bacterial motion in a nutrient-poor environments.
type: journal_article
user_id: '15645'
volume: 63
year: '2022'
...
---
_id: '35598'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. A unifying approach toward boundedness in Keller-Segel type cross-diffusion
systems via conditional $L^\infty$ estimates for taxis gradients. Mathematische
Nachrichten. 2022;295:1840-1862.
apa: Winkler, M. (2022). A unifying approach toward boundedness in Keller-Segel
type cross-diffusion systems via conditional $L^\infty$ estimates for taxis gradients.
Mathematische Nachrichten, 295, 1840–1862.
bibtex: '@article{Winkler_2022, title={A unifying approach toward boundedness in
Keller-Segel type cross-diffusion systems via conditional $L^\infty$ estimates
for taxis gradients.}, volume={295}, journal={Mathematische Nachrichten}, author={Winkler,
Michael}, year={2022}, pages={1840–1862} }'
chicago: 'Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel
Type Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.”
Mathematische Nachrichten 295 (2022): 1840–62.'
ieee: M. Winkler, “A unifying approach toward boundedness in Keller-Segel type cross-diffusion
systems via conditional $L^\infty$ estimates for taxis gradients.,” Mathematische
Nachrichten, vol. 295, pp. 1840–1862, 2022.
mla: Winkler, Michael. “A Unifying Approach toward Boundedness in Keller-Segel Type
Cross-Diffusion Systems via Conditional $L^\infty$ Estimates for Taxis Gradients.”
Mathematische Nachrichten, vol. 295, 2022, pp. 1840–62.
short: M. Winkler, Mathematische Nachrichten 295 (2022) 1840–1862.
date_created: 2023-01-09T17:10:38Z
date_updated: 2023-01-20T13:17:12Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 295'
language:
- iso: eng
page: 1840-1862
publication: Mathematische Nachrichten
status: public
title: A unifying approach toward boundedness in Keller-Segel type cross-diffusion
systems via conditional $L^\infty$ estimates for taxis gradients.
type: journal_article
user_id: '15645'
volume: 295
year: '2022'
...
---
_id: '35600'
article_number: '47'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Oscillatory decay in a degenerate parabolic equation. Partial
Differential Equations and Applications. 2022;3.
apa: Winkler, M. (2022). Oscillatory decay in a degenerate parabolic equation. Partial
Differential Equations and Applications, 3, Article 47.
bibtex: '@article{Winkler_2022, title={Oscillatory decay in a degenerate parabolic
equation.}, volume={3}, number={47}, journal={Partial Differential Equations and
Applications}, author={Winkler, Michael}, year={2022} }'
chicago: Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.”
Partial Differential Equations and Applications 3 (2022).
ieee: M. Winkler, “Oscillatory decay in a degenerate parabolic equation.,” Partial
Differential Equations and Applications, vol. 3, Art. no. 47, 2022.
mla: Winkler, Michael. “Oscillatory Decay in a Degenerate Parabolic Equation.” Partial
Differential Equations and Applications, vol. 3, 47, 2022.
short: M. Winkler, Partial Differential Equations and Applications 3 (2022).
date_created: 2023-01-09T17:21:36Z
date_updated: 2023-01-20T13:17:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 3'
language:
- iso: eng
publication: Partial Differential Equations and Applications
status: public
title: Oscillatory decay in a degenerate parabolic equation.
type: journal_article
user_id: '15645'
volume: 3
year: '2022'
...
---
_id: '35582'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. A critical blow-up exponent for flux limitation in a Keller-Segel
system. Indiana University Mathematics Journal. 2022;7:1437-1465.
apa: Winkler, M. (2022). A critical blow-up exponent for flux limitation in a Keller-Segel
system. Indiana University Mathematics Journal, 7, 1437–1465.
bibtex: '@article{Winkler_2022, title={A critical blow-up exponent for flux limitation
in a Keller-Segel system}, volume={7}, journal={Indiana University Mathematics
Journal}, author={Winkler, Michael}, year={2022}, pages={1437–1465} }'
chicago: 'Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in
a Keller-Segel System.” Indiana University Mathematics Journal 7 (2022):
1437–65.'
ieee: M. Winkler, “A critical blow-up exponent for flux limitation in a Keller-Segel
system,” Indiana University Mathematics Journal, vol. 7, pp. 1437–1465,
2022.
mla: Winkler, Michael. “A Critical Blow-up Exponent for Flux Limitation in a Keller-Segel
System.” Indiana University Mathematics Journal, vol. 7, 2022, pp. 1437–65.
short: M. Winkler, Indiana University Mathematics Journal 7 (2022) 1437–1465.
date_created: 2023-01-09T16:49:13Z
date_updated: 2023-01-20T13:17:20Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 7'
language:
- iso: eng
page: 1437-1465
publication: Indiana University Mathematics Journal
status: public
title: A critical blow-up exponent for flux limitation in a Keller-Segel system
type: journal_article
user_id: '15645'
volume: 7
year: '2022'
...
---
_id: '35590'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Unlimited growth in logarithmic Keller-Segel systems. Journal
of Differential Equations. 2022;309:74-97.
apa: Winkler, M. (2022). Unlimited growth in logarithmic Keller-Segel systems. Journal
of Differential Equations, 309, 74–97.
bibtex: '@article{Winkler_2022, title={Unlimited growth in logarithmic Keller-Segel
systems}, volume={309}, journal={Journal of Differential Equations}, author={Winkler,
Michael}, year={2022}, pages={74–97} }'
chicago: 'Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.”
Journal of Differential Equations 309 (2022): 74–97.'
ieee: M. Winkler, “Unlimited growth in logarithmic Keller-Segel systems,” Journal
of Differential Equations, vol. 309, pp. 74–97, 2022.
mla: Winkler, Michael. “Unlimited Growth in Logarithmic Keller-Segel Systems.” Journal
of Differential Equations, vol. 309, 2022, pp. 74–97.
short: M. Winkler, Journal of Differential Equations 309 (2022) 74–97.
date_created: 2023-01-09T16:51:32Z
date_updated: 2023-01-20T13:17:24Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 309'
language:
- iso: eng
page: 74-97
publication: Journal of Differential Equations
status: public
title: Unlimited growth in logarithmic Keller-Segel systems
type: journal_article
user_id: '15645'
volume: 309
year: '2022'
...
---
_id: '35528'
author:
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving
prescribed signal concentrations on the boundary. Nonlinearity. 2022;35:719-749.
apa: Lankeit, J., & Winkler, M. (2022). Radial solutions to a chemotaxis-consumption
model involving prescribed signal concentrations on the boundary. Nonlinearity,
35, 719–749.
bibtex: '@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption
model involving prescribed signal concentrations on the boundary}, volume={35},
journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022},
pages={719–749} }'
chicago: 'Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption
Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity
35 (2022): 719–49.'
ieee: J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model
involving prescribed signal concentrations on the boundary,” Nonlinearity,
vol. 35, pp. 719–749, 2022.
mla: Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption
Model Involving Prescribed Signal Concentrations on the Boundary.” Nonlinearity,
vol. 35, 2022, pp. 719–49.
short: J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.
date_created: 2023-01-09T15:33:38Z
date_updated: 2023-01-20T13:18:15Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 35'
language:
- iso: eng
page: 719-749
publication: Nonlinearity
status: public
title: Radial solutions to a chemotaxis-consumption model involving prescribed signal
concentrations on the boundary
type: journal_article
user_id: '15645'
volume: 35
year: '2022'
...
---
_id: '35568'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction. Communications in Mathematical Physics. 2022;389:439-489.
apa: Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction. Communications in Mathematical Physics, 389, 439–489.
bibtex: '@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional
Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications
in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489}
}'
chicago: 'Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes
Interaction.” Communications in Mathematical Physics 389 (2022): 439–89.'
ieee: M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction.,” Communications in Mathematical Physics, vol. 389, pp. 439–489,
2022.
mla: Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes
Interaction.” Communications in Mathematical Physics, vol. 389, 2022, pp.
439–89.
short: M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.
date_created: 2023-01-09T16:32:21Z
date_updated: 2023-01-20T13:17:37Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 389'
language:
- iso: eng
page: 439-489
publication: Communications in Mathematical Physics
status: public
title: Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes
interaction.
type: journal_article
user_id: '15645'
volume: 389
year: '2022'
...
---
_id: '35574'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. A family of mass-critical Keller-Segel systems. Proceedings of
the London Mathematical Society. 2022;124:133-181.
apa: Winkler, M. (2022). A family of mass-critical Keller-Segel systems. Proceedings
of the London Mathematical Society, 124, 133–181.
bibtex: '@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.},
volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler,
Michael}, year={2022}, pages={133–181} }'
chicago: 'Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings
of the London Mathematical Society 124 (2022): 133–81.'
ieee: M. Winkler, “A family of mass-critical Keller-Segel systems.,” Proceedings
of the London Mathematical Society, vol. 124, pp. 133–181, 2022.
mla: Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” Proceedings
of the London Mathematical Society, vol. 124, 2022, pp. 133–81.
short: M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
date_created: 2023-01-09T16:35:09Z
date_updated: 2023-01-20T13:17:33Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 124'
language:
- iso: eng
page: 133-181
publication: Proceedings of the London Mathematical Society
status: public
title: A family of mass-critical Keller-Segel systems.
type: journal_article
user_id: '15645'
volume: 124
year: '2022'
...
---
_id: '34676'
abstract:
- lang: eng
text: An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes
model with porous medium type diffusion is considered. Previous related literature
has provided profound knowledge in cases when the system is augmented with no-flux/no-flux/no-slip
boundary conditions for the density of cells, the chemical concentration and the
fluid velocity field, respectively; in particular, available qualitative results
strongly indicate that only trivial solution behavior can be expected on large
time scales. In line with refined modeling approaches to oxygen evolution near
fluid-air interfaces, this study now focuses on situations involving a fixed chemoattractant
concentration on the boundary. Despite an apparent loss of mathematically favorable
energy structures thereby induced, by means of an alternative variational approach
a basic theory of global existence is developed in a natural framework of weak
solvability. Beyond this, some additional qualitative information on the large
time behavior of these solutions is derived by identifying a certain global relaxation
property. Specifically, a second result asserts, within a suitable topological
setting, the existence of a bounded set which eventually absorbs each individual
of the obtained trajectories, and the diameter of which is bounded only by the
physically relevant quantities of total population size and prescribed boundary
concentration of the chemical signal.
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Black T, Winkler M. Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes
system with prescribed signal concentration on the boundary. Mathematical Models
and Methods in Applied Sciences. 2022;32(01):137-173. doi:10.1142/s021820252250004x
apa: Black, T., & Winkler, M. (2022). Global weak solutions and absorbing sets
in a chemotaxis-Navier–Stokes system with prescribed signal concentration on the
boundary. Mathematical Models and Methods in Applied Sciences, 32(01),
137–173. https://doi.org/10.1142/s021820252250004x
bibtex: '@article{Black_Winkler_2022, title={Global weak solutions and absorbing
sets in a chemotaxis-Navier–Stokes system with prescribed signal concentration
on the boundary}, volume={32}, DOI={10.1142/s021820252250004x},
number={01}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Black, Tobias and Winkler, Michael}, year={2022},
pages={137–173} }'
chicago: 'Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing
Sets in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration
on the Boundary.” Mathematical Models and Methods in Applied Sciences 32,
no. 01 (2022): 137–73. https://doi.org/10.1142/s021820252250004x.'
ieee: 'T. Black and M. Winkler, “Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes
system with prescribed signal concentration on the boundary,” Mathematical
Models and Methods in Applied Sciences, vol. 32, no. 01, pp. 137–173, 2022,
doi: 10.1142/s021820252250004x.'
mla: Black, Tobias, and Michael Winkler. “Global Weak Solutions and Absorbing Sets
in a Chemotaxis-Navier–Stokes System with Prescribed Signal Concentration on the
Boundary.” Mathematical Models and Methods in Applied Sciences, vol. 32,
no. 01, World Scientific Pub Co Pte Ltd, 2022, pp. 137–73, doi:10.1142/s021820252250004x.
short: T. Black, M. Winkler, Mathematical Models and Methods in Applied Sciences
32 (2022) 137–173.
date_created: 2022-12-21T09:50:03Z
date_updated: 2023-01-20T13:18:30Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1142/s021820252250004x
intvolume: ' 32'
issue: '01'
keyword:
- Applied Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 137-173
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 0218-2025
- 1793-6314
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
status: public
title: Global weak solutions and absorbing sets in a chemotaxis-Navier–Stokes system
with prescribed signal concentration on the boundary
type: journal_article
user_id: '23686'
volume: 32
year: '2022'
...
---
_id: '39062'
author:
- first_name: Michael
full_name: Liebendörfer, Michael
id: '30933'
last_name: Liebendörfer
orcid: 0000-0001-9887-2074
- first_name: Angelo
full_name: Profeta, Angelo
last_name: Profeta
- first_name: Sandra
full_name: Krämer, Sandra
last_name: Krämer
- first_name: Sarah
full_name: Schlüter, Sarah
last_name: Schlüter
- first_name: Silvia
full_name: Becher, Silvia
last_name: Becher
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Tobias
full_name: Mai, Tobias
last_name: Mai
- first_name: Angela
full_name: Schmitz, Angela
last_name: Schmitz
citation:
ama: 'Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive
questions to enhance students’ cognitive activity: concept and implementation.
In: ; 2022.'
apa: 'Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler,
R., Mai, T., & Schmitz, A. (2022). Enriching videos with interactive questions
to enhance students’ cognitive activity: concept and implementation. Twelfth
Congress of the European Society for Research in Mathematics Education (CERME12),
Bozen-Bolzano, Italy.'
bibtex: '@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022,
title={Enriching videos with interactive questions to enhance students’ cognitive
activity: concept and implementation}, author={Liebendörfer, Michael and Profeta,
Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler,
Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }'
chicago: 'Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter,
Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos
with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and
Implementation,” 2022.'
ieee: 'M. Liebendörfer et al., “Enriching videos with interactive questions
to enhance students’ cognitive activity: concept and implementation,” presented
at the Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12), Bozen-Bolzano, Italy, 2022.'
mla: 'Liebendörfer, Michael, et al. Enriching Videos with Interactive Questions
to Enhance Students’ Cognitive Activity: Concept and Implementation. 2022.'
short: 'M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler,
T. Mai, A. Schmitz, in: 2022.'
conference:
end_date: 2022-02-06
location: Bozen-Bolzano, Italy
name: Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12)
start_date: 2022-02-02
date_created: 2023-01-24T08:53:20Z
date_updated: 2023-01-24T08:57:15Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
language:
- iso: eng
related_material:
link:
- relation: confirmation
url: https://hal.science/hal-03749054
status: public
title: 'Enriching videos with interactive questions to enhance students’ cognitive
activity: concept and implementation'
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '39058'
author:
- first_name: Birgit
full_name: Griese, Birgit
last_name: Griese
- first_name: Ralf
full_name: Nieszporek, Ralf
id: '59608'
last_name: Nieszporek
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Griese B, Nieszporek R, Biehler R. Facilitators’ views on content goals, learning
obstacles, and teaching resources in reference to conditional probability. In:
; 2022.'
apa: Griese, B., Nieszporek, R., & Biehler, R. (2022). Facilitators’ views
on content goals, learning obstacles, and teaching resources in reference to conditional
probability. Twelfth Congress of the European Society for Research in Mathematics
Education (CERME12), Bozen-Bolzano, Italy.
bibtex: '@inproceedings{Griese_Nieszporek_Biehler_2022, title={Facilitators’ views
on content goals, learning obstacles, and teaching resources in reference to conditional
probability}, author={Griese, Birgit and Nieszporek, Ralf and Biehler, Rolf},
year={2022} }'
chicago: Griese, Birgit, Ralf Nieszporek, and Rolf Biehler. “Facilitators’ Views
on Content Goals, Learning Obstacles, and Teaching Resources in Reference to Conditional
Probability,” 2022.
ieee: B. Griese, R. Nieszporek, and R. Biehler, “Facilitators’ views on content
goals, learning obstacles, and teaching resources in reference to conditional
probability,” presented at the Twelfth Congress of the European Society for Research
in Mathematics Education (CERME12), Bozen-Bolzano, Italy, 2022.
mla: Griese, Birgit, et al. Facilitators’ Views on Content Goals, Learning Obstacles,
and Teaching Resources in Reference to Conditional Probability. 2022.
short: 'B. Griese, R. Nieszporek, R. Biehler, in: 2022.'
conference:
end_date: 2022-02-06
location: Bozen-Bolzano, Italy
name: Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12)
start_date: 2022-02-02
date_created: 2023-01-24T08:49:24Z
date_updated: 2023-01-24T08:57:18Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
language:
- iso: eng
related_material:
link:
- relation: confirmation
url: https://hal.science/hal-03746264
status: public
title: Facilitators’ views on content goals, learning obstacles, and teaching resources
in reference to conditional probability
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '39064'
author:
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Yannik
full_name: Fleischer, Yannik
last_name: Fleischer
- first_name: Dietlinde
full_name: Stroop, Dietlinde
last_name: Stroop
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Podworny S, Fleischer Y, Stroop D, Biehler R. An example of rich, real and
multivariate survey data for use in school. In: ; 2022.'
apa: Podworny, S., Fleischer, Y., Stroop, D., & Biehler, R. (2022). An example
of rich, real and multivariate survey data for use in school. Twelfth Congress
of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano,
Italy.
bibtex: '@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example
of rich, real and multivariate survey data for use in school}, author={Podworny,
Susanne and Fleischer, Yannik and Stroop, Dietlinde and Biehler, Rolf}, year={2022}
}'
chicago: Podworny, Susanne, Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler.
“An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022.
ieee: S. Podworny, Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich,
real and multivariate survey data for use in school,” presented at the Twelfth
Congress of the European Society for Research in Mathematics Education (CERME12),
Bozen-Bolzano, Italy, 2022.
mla: Podworny, Susanne, et al. An Example of Rich, Real and Multivariate Survey
Data for Use in School. 2022.
short: 'S. Podworny, Y. Fleischer, D. Stroop, R. Biehler, in: 2022.'
conference:
end_date: 2022-02-06
location: Bozen-Bolzano, Italy
name: Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12)
start_date: 2022-02-02
date_created: 2023-01-24T08:55:09Z
date_updated: 2023-01-24T08:57:12Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
language:
- iso: eng
related_material:
link:
- relation: confirmation
url: https://hal.archives-ouvertes.fr/hal-03751842
status: public
title: An example of rich, real and multivariate survey data for use in school
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '35483'
author:
- first_name: Kyungkeun
full_name: ' Kang, Kyungkeun'
last_name: ' Kang'
- first_name: Jihoon
full_name: Lee, Jihoon
last_name: Lee
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$. Discrete and Continuous Dynamical Systems. 2022;42:5201-5222.
apa: Kang, K., Lee, J., & Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$. Discrete and Continuous Dynamical Systems, 42,
5201–5222.
bibtex: '@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems},
author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222}
}'
chicago: 'Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions
to a Chemotaxis-Navier-Stokes System in $R^3$.” Discrete and Continuous Dynamical
Systems 42 (2022): 5201–22.'
ieee: K. Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes
system in $R^3$.,” Discrete and Continuous Dynamical Systems, vol. 42,
pp. 5201–5222, 2022.
mla: Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes
System in $R^3$.” Discrete and Continuous Dynamical Systems, vol. 42, 2022,
pp. 5201–22.
short: K. Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42
(2022) 5201–5222.
date_created: 2023-01-09T13:02:46Z
date_updated: 2023-01-21T09:30:47Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 42'
language:
- iso: eng
page: 5201-5222
publication: Discrete and Continuous Dynamical Systems
status: public
title: Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
type: journal_article
user_id: '15645'
volume: 42
year: '2022'
...
---
_id: '38039'
abstract:
- lang: eng
text: We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the
compact and non-compact case in $N$ dimensions for root systems of type $A$ and
$B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$
and a varying constant $κ\in\,[0,\infty[$. Using elementary symmetric functions,
we present polynomials which are simultaneous eigenfunctions of the $L_k$ for
all $κ\in\,]0,\infty[$. This leads to martingales associated with the Heckman-Opdam
diffusions $ (X_{t,1},\ldots,X_{t,N})_{t\ge0}$. As our results extend to the freezing
case $κ=\infty$ with a deterministic limit after some renormalization, we find
formulas for the expectations $\mathbb E(\prod_{j=1}^N(y-X_{t,j})),$ $y\in\mathbb
C$.
author:
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
- first_name: Michael
full_name: Voit, Michael
last_name: Voit
citation:
ama: Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam
processes. Contemporary Mathematics. 2022;(780):243-262. doi:10.48550/ARXIV.2108.03228
apa: Rösler, M., & Voit, M. (2022). Elementary symmetric polynomials and martingales
for Heckman-Opdam processes. Contemporary Mathematics, 780, 243–262.
https://doi.org/10.48550/ARXIV.2108.03228
bibtex: '@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and
martingales for Heckman-Opdam processes}, DOI={10.48550/ARXIV.2108.03228},
number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit,
Michael}, year={2022}, pages={243–262} }'
chicago: 'Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and
Martingales for Heckman-Opdam Processes.” Contemporary Mathematics, no.
780 (2022): 243–62. https://doi.org/10.48550/ARXIV.2108.03228.'
ieee: 'M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales
for Heckman-Opdam processes,” Contemporary Mathematics, no. 780, pp. 243–262,
2022, doi: 10.48550/ARXIV.2108.03228.'
mla: Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales
for Heckman-Opdam Processes.” Contemporary Mathematics, no. 780, 2022,
pp. 243–62, doi:10.48550/ARXIV.2108.03228.
short: M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.
conference:
name: Hypergeometry, integrability and Lie theory
date_created: 2023-01-23T08:31:27Z
date_updated: 2023-01-24T22:16:21Z
department:
- _id: '555'
doi: 10.48550/ARXIV.2108.03228
issue: '780'
language:
- iso: eng
page: 243-262
publication: Contemporary Mathematics
publication_status: published
status: public
title: Elementary symmetric polynomials and martingales for Heckman-Opdam processes
type: journal_article
user_id: '37390'
year: '2022'
...
---
_id: '40312'
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. Inclusive math practices in primary school.
Twelfth Congress of the European Society for Research in Mathematics Education.
In: Hodgen J, Geraniou E, Bolondi G, Ferretti F, Free University of Bozen-Bolzano
and ERME, eds. Twelfth Congress of the European Society for Research in Mathematics
Education (CERME12). ; 2022:1-8.'
apa: Häsel-Weide, U., & Nührenbörger, M. (2022). Inclusive math practices in
primary school. Twelfth Congress of the European Society for Research in Mathematics
Education. In J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, & Free University
of Bozen-Bolzano and ERME (Eds.), Twelfth Congress of the European Society
for Research in Mathematics Education (CERME12) (pp. 1–8).
bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2022, title={Inclusive math practices
in primary school. Twelfth Congress of the European Society for Research in Mathematics
Education}, booktitle={Twelfth Congress of the European Society for Research in
Mathematics Education (CERME12)}, author={Häsel-Weide, Uta and Nührenbörger, M.},
editor={Hodgen, J. and Geraniou, E. and Bolondi, G. and Ferretti, F. and Free
University of Bozen-Bolzano and ERME}, year={2022}, pages={1–8} }'
chicago: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary
School. Twelfth Congress of the European Society for Research in Mathematics Education.”
In Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, and
Free University of Bozen-Bolzano and ERME, 1–8, 2022.
ieee: U. Häsel-Weide and M. Nührenbörger, “Inclusive math practices in primary school.
Twelfth Congress of the European Society for Research in Mathematics Education,”
in Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12), 2022, pp. 1–8.
mla: Häsel-Weide, Uta, and M. Nührenbörger. “Inclusive Math Practices in Primary
School. Twelfth Congress of the European Society for Research in Mathematics Education.”
Twelfth Congress of the European Society for Research in Mathematics Education
(CERME12), edited by J. Hodgen et al., 2022, pp. 1–8.
short: 'U. Häsel-Weide, M. Nührenbörger, in: J. Hodgen, E. Geraniou, G. Bolondi,
F. Ferretti, Free University of Bozen-Bolzano and ERME (Eds.), Twelfth Congress
of the European Society for Research in Mathematics Education (CERME12), 2022,
pp. 1–8.'
corporate_editor:
- Free University of Bozen-Bolzano and ERME
date_created: 2023-01-26T11:06:50Z
date_updated: 2023-01-26T11:09:02Z
department:
- _id: '543'
- _id: '98'
editor:
- first_name: J.
full_name: Hodgen, J.
last_name: Hodgen
- first_name: E.
full_name: Geraniou, E.
last_name: Geraniou
- first_name: G.
full_name: Bolondi, G.
last_name: Bolondi
- first_name: F.
full_name: Ferretti, F.
last_name: Ferretti
language:
- iso: eng
main_file_link:
- url: ⟨hal-03745438⟩
page: 1-8
publication: Twelfth Congress of the European Society for Research in Mathematics
Education (CERME12)
status: public
title: Inclusive math practices in primary school. Twelfth Congress of the European
Society for Research in Mathematics Education
type: conference
user_id: '44184'
year: '2022'
...
---
_id: '35674'
abstract:
- lang: eng
text: We report on our work with students in our data science courses, focusing
on the analysis of students’ results. This study represents an in-depth analysis
of students’ creation and documentation of machine learning models. The students
were supported by educationally designed Jupyter Notebooks, which are used as
worked examples. Using the worked example, students document their results in
a so-called computational essay. We examine which aspects of creating computational
essays are difficult for students to find out how worked examples should be designed
to support students without being too prescriptive. We analyze the computational
essays produced by students and draw consequences for redesigning our worked example.
author:
- first_name: Yannik
full_name: Fleischer, Yannik
last_name: Fleischer
- first_name: Sven
full_name: Hüsing, Sven
id: '58465'
last_name: Hüsing
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
citation:
ama: 'Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks
for Teaching, Learning, and Doing Data Science. In: Peters SA, Zapata-Cardona
L, Bonafini F, Fan A, eds. Bridging the Gap: Empowering and Educating Today’s
Learners in Statistics. Proceedings of the Eleventh International Conference on
Teaching Statistics. International Association for Statistical Education;
2022. doi:10.52041/iase.icots11.t10e3'
apa: 'Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., & Schulte, C. (2022).
Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In S. A. Peters,
L. Zapata-Cardona, F. Bonafini, & A. Fan (Eds.), Bridging the Gap: Empowering
and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International
Conference on Teaching Statistics. International Association for Statistical
Education. https://doi.org/10.52041/iase.icots11.t10e3'
bibtex: '@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter
Notebooks for Teaching, Learning, and Doing Data Science}, DOI={10.52041/iase.icots11.t10e3},
booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics},
publisher={International Association for Statistical Education}, author={Fleischer,
Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten},
editor={Peters, S. A. and Zapata-Cardona, L. and Bonafini, F. and Fan, A.}, year={2022}
}'
chicago: 'Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten
Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In
Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics,
edited by S. A. Peters, L. Zapata-Cardona, F. Bonafini, and A. Fan. International
Association for Statistical Education, 2022. https://doi.org/10.52041/iase.icots11.t10e3.'
ieee: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter
Notebooks for Teaching, Learning, and Doing Data Science,” in Bridging the
Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the
Eleventh International Conference on Teaching Statistics, 2022, doi: 10.52041/iase.icots11.t10e3.'
mla: 'Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing
Data Science.” Bridging the Gap: Empowering and Educating Today’s Learners
in Statistics. Proceedings of the Eleventh International Conference on Teaching
Statistics, edited by S. A. Peters et al., International Association for Statistical
Education, 2022, doi:10.52041/iase.icots11.t10e3.'
short: 'Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: S.A. Peters,
L. Zapata-Cardona, F. Bonafini, A. Fan (Eds.), Bridging the Gap: Empowering and
Educating Today’s Learners in Statistics. Proceedings of the Eleventh International
Conference on Teaching Statistics, International Association for Statistical Education,
2022.'
date_created: 2023-01-10T08:50:47Z
date_updated: 2023-01-30T12:09:59Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '67'
doi: 10.52041/iase.icots11.t10e3
editor:
- first_name: S. A.
full_name: Peters, S. A.
last_name: Peters
- first_name: L.
full_name: Zapata-Cardona, L.
last_name: Zapata-Cardona
- first_name: F.
full_name: Bonafini, F.
last_name: Bonafini
- first_name: A.
full_name: Fan, A.
last_name: Fan
language:
- iso: eng
publication: 'Bridging the Gap: Empowering and Educating Today’s Learners in Statistics.
Proceedings of the Eleventh International Conference on Teaching Statistics'
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Jupyter Notebooks for Teaching, Learning, and Doing Data Science
type: conference
user_id: '58465'
year: '2022'
...
---
_id: '35672'
abstract:
- lang: eng
text: This study examines modelling with machine learning. In the context
of a yearlong data science course, the study explores how upper secondary students
apply machine learning with Jupyter Notebooks and document the modelling process
as a computational essay incorporating the different steps of the CRISP-DM cycle.
The students’ work is based on a teaching module about decision trees in machine
learning and a worked example of such a modelling process. The study outlines
the students’ performance in carrying out the machine learning technically and
reasoning about bias in the data, different data preparation steps, the application
context, and the resulting decision model. Furthermore, the context of the study
and the theoretical backgrounds are presented.
article_number: '7'
author:
- first_name: Yannik
full_name: Fleischer, Yannik
last_name: Fleischer
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
citation:
ama: Fleischer Y, Biehler R, Schulte C. Teaching and Learning Data-Driven Machine
Learning with Educationally Designed Jupyter Notebooks. Statistics Education
Research Journal. 2022;21(2). doi:10.52041/serj.v21i2.61
apa: Fleischer, Y., Biehler, R., & Schulte, C. (2022). Teaching and Learning
Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks. Statistics
Education Research Journal, 21(2), Article 7. https://doi.org/10.52041/serj.v21i2.61
bibtex: '@article{Fleischer_Biehler_Schulte_2022, title={Teaching and Learning Data-Driven
Machine Learning with Educationally Designed Jupyter Notebooks}, volume={21},
DOI={10.52041/serj.v21i2.61},
number={27}, journal={Statistics Education Research Journal}, publisher={International
Association for Statistical Education}, author={Fleischer, Yannik and Biehler,
Rolf and Schulte, Carsten}, year={2022} }'
chicago: Fleischer, Yannik, Rolf Biehler, and Carsten Schulte. “Teaching and Learning
Data-Driven Machine Learning with Educationally Designed Jupyter Notebooks.” Statistics
Education Research Journal 21, no. 2 (2022). https://doi.org/10.52041/serj.v21i2.61.
ieee: 'Y. Fleischer, R. Biehler, and C. Schulte, “Teaching and Learning Data-Driven
Machine Learning with Educationally Designed Jupyter Notebooks,” Statistics
Education Research Journal, vol. 21, no. 2, Art. no. 7, 2022, doi: 10.52041/serj.v21i2.61.'
mla: Fleischer, Yannik, et al. “Teaching and Learning Data-Driven Machine Learning
with Educationally Designed Jupyter Notebooks.” Statistics Education Research
Journal, vol. 21, no. 2, 7, International Association for Statistical Education,
2022, doi:10.52041/serj.v21i2.61.
short: Y. Fleischer, R. Biehler, C. Schulte, Statistics Education Research Journal
21 (2022).
date_created: 2023-01-10T08:48:23Z
date_updated: 2023-01-30T12:52:57Z
department:
- _id: '34'
- _id: '10'
- _id: '97'
- _id: '363'
- _id: '67'
doi: 10.52041/serj.v21i2.61
intvolume: ' 21'
issue: '2'
keyword:
- Education
- Statistics and Probability
language:
- iso: eng
publication: Statistics Education Research Journal
publication_identifier:
issn:
- 1570-1824
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Teaching and Learning Data-Driven Machine Learning with Educationally Designed
Jupyter Notebooks
type: journal_article
user_id: '60311'
volume: 21
year: '2022'
...
---
_id: '35479'
author:
- first_name: Nicolas
full_name: Bellomo, Nicolas
last_name: Bellomo
- first_name: Nisrine
full_name: Outada, Nisrine
last_name: Outada
- first_name: Juan
full_name: Soler, Juan
last_name: Soler
- first_name: Youshan
full_name: Tao, Youshan
last_name: Tao
- first_name: Michael
full_name: Winkler, Michael
last_name: Winkler
citation:
ama: 'Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion
models in complex environments: Models and analytic problems toward a multiscale
vision. Mathematical Models & Methods in Applied Sciences. 2022;32:713-792.'
apa: 'Bellomo, N., Outada, N., Soler, J., Tao, Y., & Winkler, M. (2022). Chemotaxis
and cross-diffusion models in complex environments: Models and analytic problems
toward a multiscale vision. Mathematical Models & Methods in Applied Sciences,
32, 713–792.'
bibtex: '@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion
models in complex environments: Models and analytic problems toward a multiscale
vision.}, volume={32}, journal={Mathematical Models & Methods in Applied Sciences},
author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan
and Winkler, Michael}, year={2022}, pages={713–792} }'
chicago: 'Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael
Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models
and Analytic Problems toward a Multiscale Vision.” Mathematical Models &
Methods in Applied Sciences 32 (2022): 713–92.'
ieee: 'N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and
cross-diffusion models in complex environments: Models and analytic problems toward
a multiscale vision.,” Mathematical Models & Methods in Applied Sciences,
vol. 32, pp. 713–792, 2022.'
mla: 'Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex
Environments: Models and Analytic Problems toward a Multiscale Vision.” Mathematical
Models & Methods in Applied Sciences, vol. 32, 2022, pp. 713–92.'
short: N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models
& Methods in Applied Sciences 32 (2022) 713–792.
date_created: 2023-01-09T12:42:07Z
date_updated: 2023-02-01T10:05:54Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: ' 32'
language:
- iso: eng
page: 713-792
publication: Mathematical Models & Methods in Applied Sciences
status: public
title: 'Chemotaxis and cross-diffusion models in complex environments: Models and
analytic problems toward a multiscale vision.'
type: journal_article
user_id: '15645'
volume: 32
year: '2022'
...