---
_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'
...