---
_id: '63394'
abstract:
- lang: eng
text: We study the statistics of the number of real eigenvalues in the elliptic
deformation of the real Ginibre ensemble. As the matrix dimension grows, the law
of large numbers and the central limit theorem for the number of real eigenvalues
are well understood, but the probabilities of rare events remain largely unexplored.
Large deviation type results have been obtained only in extreme cases, when either
a vanishingly small proportion of eigenvalues are real or almost all eigenvalues
are real. Here, in both the strong and weak asymmetry regimes, we derive the probabilities
of rare events in the moderate-to-large deviation regime, thereby providing a
natural connection between the previously known regime of Gaussian fluctuations
and the large deviation regime. Our results are new even for the classical real
Ginibre ensemble.
author:
- first_name: Sung-Soo
full_name: Byun, Sung-Soo
last_name: Byun
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Yong-Woo
full_name: Lee, Yong-Woo
last_name: Lee
- first_name: Grégory
full_name: Schehr, Grégory
last_name: Schehr
citation:
ama: Byun S-S, Jalowy J, Lee Y-W, Schehr G. Moderate-to-large deviation asymptotics
for real eigenvalues of the elliptic Ginibre matrices. arXiv:251109191.
Published online 2025.
apa: Byun, S.-S., Jalowy, J., Lee, Y.-W., & Schehr, G. (2025). Moderate-to-large
deviation asymptotics for real eigenvalues of the elliptic Ginibre matrices. In
arXiv:2511.09191.
bibtex: '@article{Byun_Jalowy_Lee_Schehr_2025, title={Moderate-to-large deviation
asymptotics for real eigenvalues of the elliptic Ginibre matrices}, journal={arXiv:2511.09191},
author={Byun, Sung-Soo and Jalowy, Jonas and Lee, Yong-Woo and Schehr, Grégory},
year={2025} }'
chicago: Byun, Sung-Soo, Jonas Jalowy, Yong-Woo Lee, and Grégory Schehr. “Moderate-to-Large
Deviation Asymptotics for Real Eigenvalues of the Elliptic Ginibre Matrices.”
ArXiv:2511.09191, 2025.
ieee: S.-S. Byun, J. Jalowy, Y.-W. Lee, and G. Schehr, “Moderate-to-large deviation
asymptotics for real eigenvalues of the elliptic Ginibre matrices,” arXiv:2511.09191.
2025.
mla: Byun, Sung-Soo, et al. “Moderate-to-Large Deviation Asymptotics for Real Eigenvalues
of the Elliptic Ginibre Matrices.” ArXiv:2511.09191, 2025.
short: S.-S. Byun, J. Jalowy, Y.-W. Lee, G. Schehr, ArXiv:2511.09191 (2025).
date_created: 2025-12-22T08:37:02Z
date_updated: 2025-12-22T08:37:35Z
department:
- _id: '94'
external_id:
arxiv:
- '2511.09191'
language:
- iso: eng
publication: arXiv:2511.09191
status: public
title: Moderate-to-large deviation asymptotics for real eigenvalues of the elliptic
Ginibre matrices
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '63393'
abstract:
- lang: eng
text: 'We study the evolution of zeros of high polynomial powers under the heat
flow. For any fixed polynomial $P(z)$, we prove that the empirical zero distribution
of its heat-evolved $n$-th power converges to a distribution on the complex plane
as $n$ tends to infinity. We describe this limit distribution $μ_t$ as a function
of the time parameter $t$ of the heat evolution: For small time, zeros start to
spread out in approximately semicircular distributions, then intricate curves
start to form and merge, until for large time, the zero distribution approaches
a widespread semicircle law through the initial center of mass. The Stieltjes
transform of the limit distribution $μ_t$ satisfies a self-consistent equation
and a Burgers'' equation. The present paper deals with general complex-rooted
polynomials for which, in contrast to the real-rooted case, no free-probabilistic
representation for $μ_t$ is available.'
author:
- first_name: Antonia
full_name: Höfert, Antonia
last_name: Höfert
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Zakhar
full_name: Kabluchko, Zakhar
last_name: Kabluchko
citation:
ama: Höfert A, Jalowy J, Kabluchko Z. Zeros of polynomial powers under the heat
flow. arXiv:251217808. Published online 2025.
apa: Höfert, A., Jalowy, J., & Kabluchko, Z. (2025). Zeros of polynomial powers
under the heat flow. In arXiv:2512.17808.
bibtex: '@article{Höfert_Jalowy_Kabluchko_2025, title={Zeros of polynomial powers
under the heat flow}, journal={arXiv:2512.17808}, author={Höfert, Antonia and
Jalowy, Jonas and Kabluchko, Zakhar}, year={2025} }'
chicago: Höfert, Antonia, Jonas Jalowy, and Zakhar Kabluchko. “Zeros of Polynomial
Powers under the Heat Flow.” ArXiv:2512.17808, 2025.
ieee: A. Höfert, J. Jalowy, and Z. Kabluchko, “Zeros of polynomial powers under
the heat flow,” arXiv:2512.17808. 2025.
mla: Höfert, Antonia, et al. “Zeros of Polynomial Powers under the Heat Flow.” ArXiv:2512.17808,
2025.
short: A. Höfert, J. Jalowy, Z. Kabluchko, ArXiv:2512.17808 (2025).
date_created: 2025-12-22T08:36:24Z
date_updated: 2025-12-22T08:36:46Z
department:
- _id: '94'
external_id:
arxiv:
- '2512.17808'
language:
- iso: eng
publication: arXiv:2512.17808
status: public
title: Zeros of polynomial powers under the heat flow
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '63434'
author:
- first_name: Max
full_name: Hoffmann, Max
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira
S, Michael G, Camilla S, eds. Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14). ; 2025.'
apa: 'Hoffmann, M. (2025). Using scriptwriting as a response format for interface
tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi,
S. Carreira, G. Michael, & S. Camilla (Eds.), Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14).'
bibtex: '@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response
format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14)}, author={Hoffmann, Max}, editor={Bosch, Marianna and Bolondi,
Giorgio and Carreira, Susana and Michael, Gaidoschik and Camilla, Spagnolo}, year={2025}
}'
chicago: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface
Tasks: Exemplary Analyses in the Context of Symmetry.” In Proceedings of the
Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14), edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Gaidoschik
Michael, and Spagnolo Camilla, 2025.'
ieee: 'M. Hoffmann, “Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry,” in Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
2025.'
mla: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks:
Exemplary Analyses in the Context of Symmetry.” Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
edited by Marianna Bosch et al., 2025.'
short: 'M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, G. Michael, S. Camilla
(Eds.), Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14), 2025.'
date_created: 2026-01-04T21:26:04Z
date_updated: 2026-01-04T21:29:36Z
department:
- _id: '97'
- _id: '643'
editor:
- first_name: Marianna
full_name: Bosch, Marianna
last_name: Bosch
- first_name: Giorgio
full_name: Bolondi, Giorgio
last_name: Bolondi
- first_name: Susana
full_name: Carreira, Susana
last_name: Carreira
- first_name: Gaidoschik
full_name: Michael, Gaidoschik
last_name: Michael
- first_name: Spagnolo
full_name: Camilla, Spagnolo
last_name: Camilla
keyword:
- hoffmann
- reviewed
- proceedings
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.science/CERME14/hal-05237875v1
oa: '1'
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
quality_controlled: '1'
status: public
title: 'Using scriptwriting as a response format for interface tasks: Exemplary analyses
in the context of symmetry'
type: conference
user_id: '32202'
year: '2025'
...
---
_id: '63433'
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: Hoffmann M. Digitale Perspektiven auf das Heron-Verfahren. mathematik lehren.
2025;(253):39-44. doi:https://doi.org/10.5555/ml-253-2025_07
apa: Hoffmann, M. (2025). Digitale Perspektiven auf das Heron-Verfahren. mathematik
lehren, 253, 39–44. https://doi.org/10.5555/ml-253-2025_07
bibtex: '@article{Hoffmann_2025, title={Digitale Perspektiven auf das Heron-Verfahren},
DOI={https://doi.org/10.5555/ml-253-2025_07},
number={253}, journal={mathematik lehren}, author={Hoffmann, Max}, year={2025},
pages={39–44} }'
chicago: 'Hoffmann, Max. “Digitale Perspektiven auf das Heron-Verfahren.” mathematik
lehren, no. 253 (2025): 39–44. https://doi.org/10.5555/ml-253-2025_07.'
ieee: 'M. Hoffmann, “Digitale Perspektiven auf das Heron-Verfahren,” mathematik
lehren, no. 253, pp. 39–44, 2025, doi: https://doi.org/10.5555/ml-253-2025_07.'
mla: Hoffmann, Max. “Digitale Perspektiven auf das Heron-Verfahren.” mathematik
lehren, no. 253, 2025, pp. 39–44, doi:https://doi.org/10.5555/ml-253-2025_07.
short: M. Hoffmann, mathematik lehren (2025) 39–44.
date_created: 2026-01-04T17:37:54Z
date_updated: 2026-01-04T17:38:00Z
department:
- _id: '97'
- _id: '643'
doi: https://doi.org/10.5555/ml-253-2025_07
issue: '253'
language:
- iso: ger
page: 39-44
popular_science: '1'
publication: mathematik lehren
publication_status: published
status: public
title: Digitale Perspektiven auf das Heron-Verfahren
type: journal_article
user_id: '32202'
year: '2025'
...
---
_id: '54837'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Johannes
full_name: Lankeit, Johannes
last_name: Lankeit
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: 'Claes L, Lankeit J, Winkler M. A model for heat generation by acoustic waves
in piezoelectric materials: Global large-data solutions. Mathematical Models
and Methods in Applied Sciences. 2025;35(11):2465-2512. doi:10.1142/s0218202525500447'
apa: 'Claes, L., Lankeit, J., & Winkler, M. (2025). A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions. Mathematical
Models and Methods in Applied Sciences, 35(11), 2465–2512. https://doi.org/10.1142/s0218202525500447'
bibtex: '@article{Claes_Lankeit_Winkler_2025, title={A model for heat generation
by acoustic waves in piezoelectric materials: Global large-data solutions}, volume={35},
DOI={10.1142/s0218202525500447},
number={11}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World
Scientific Pub Co Pte Ltd}, author={Claes, Leander and Lankeit, Johannes and Winkler,
Michael}, year={2025}, pages={2465–2512} }'
chicago: 'Claes, Leander, Johannes Lankeit, and Michael Winkler. “A Model for Heat
Generation by Acoustic Waves in Piezoelectric Materials: Global Large-Data Solutions.”
Mathematical Models and Methods in Applied Sciences 35, no. 11 (2025):
2465–2512. https://doi.org/10.1142/s0218202525500447.'
ieee: 'L. Claes, J. Lankeit, and M. Winkler, “A model for heat generation by acoustic
waves in piezoelectric materials: Global large-data solutions,” Mathematical
Models and Methods in Applied Sciences, vol. 35, no. 11, pp. 2465–2512, 2025,
doi: 10.1142/s0218202525500447.'
mla: 'Claes, Leander, et al. “A Model for Heat Generation by Acoustic Waves in Piezoelectric
Materials: Global Large-Data Solutions.” Mathematical Models and Methods in
Applied Sciences, vol. 35, no. 11, World Scientific Pub Co Pte Ltd, 2025,
pp. 2465–512, doi:10.1142/s0218202525500447.'
short: L. Claes, J. Lankeit, M. Winkler, Mathematical Models and Methods in Applied
Sciences 35 (2025) 2465–2512.
date_created: 2024-06-20T13:43:42Z
date_updated: 2026-01-05T07:59:41Z
department:
- _id: '90'
- _id: '49'
doi: 10.1142/s0218202525500447
external_id:
arxiv:
- '2411.14900'
intvolume: ' 35'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/pdf/2411.14900
oa: '1'
page: 2465-2512
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Mathematical Models and Methods in Applied Sciences
publication_identifier:
issn:
- 1793-6314
publisher: World Scientific Pub Co Pte Ltd
status: public
title: 'A model for heat generation by acoustic waves in piezoelectric materials:
Global large-data solutions'
type: journal_article
user_id: '11829'
volume: 35
year: '2025'
...
---
_id: '63510'
abstract:
- lang: eng
text: It has been shown recently that optimal control problems with the dynamical
constraint given by a second order system admit a regular Lagrangian formulation.
This implies that the optimality conditions can be obtained in a new form based
on the variational approach. In this paper we extend the first order necessary
optimality conditions obtained previously to second order optimality conditions.
This results in a complete characterization of the optimality conditions in a
new Lagrangian form.
author:
- first_name: Michael
full_name: Konopik, Michael
last_name: Konopik
- first_name: Sigrid
full_name: Leyendecker, Sigrid
last_name: Leyendecker
- first_name: Sofya
full_name: Maslovskaya, Sofya
last_name: Maslovskaya
- first_name: Sina Ober-Blöbaum
full_name: Sina Ober-Blöbaum, Sina Ober-Blöbaum
last_name: Sina Ober-Blöbaum
- first_name: Rodrigo T. Sato Martín de
full_name: Almagro, Rodrigo T. Sato Martín de
last_name: Almagro
citation:
ama: Konopik M, Leyendecker S, Maslovskaya S, Sina Ober-Blöbaum SO-B, Almagro RTSM
de. Second order optimality conditions in a new Lagrangian formulation for optimal
control problems. arXiv:250706024. Published online 2025.
apa: Konopik, M., Leyendecker, S., Maslovskaya, S., Sina Ober-Blöbaum, S. O.-B.,
& Almagro, R. T. S. M. de. (2025). Second order optimality conditions in a
new Lagrangian formulation for optimal control problems. In arXiv:2507.06024.
bibtex: '@article{Konopik_Leyendecker_Maslovskaya_Sina Ober-Blöbaum_Almagro_2025,
title={Second order optimality conditions in a new Lagrangian formulation for
optimal control problems}, journal={arXiv:2507.06024}, author={Konopik, Michael
and Leyendecker, Sigrid and Maslovskaya, Sofya and Sina Ober-Blöbaum, Sina Ober-Blöbaum
and Almagro, Rodrigo T. Sato Martín de}, year={2025} }'
chicago: Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum
Sina Ober-Blöbaum, and Rodrigo T. Sato Martín de Almagro. “Second Order Optimality
Conditions in a New Lagrangian Formulation for Optimal Control Problems.” ArXiv:2507.06024,
2025.
ieee: M. Konopik, S. Leyendecker, S. Maslovskaya, S. O.-B. Sina Ober-Blöbaum, and
R. T. S. M. de Almagro, “Second order optimality conditions in a new Lagrangian
formulation for optimal control problems,” arXiv:2507.06024. 2025.
mla: Konopik, Michael, et al. “Second Order Optimality Conditions in a New Lagrangian
Formulation for Optimal Control Problems.” ArXiv:2507.06024, 2025.
short: M. Konopik, S. Leyendecker, S. Maslovskaya, S.O.-B. Sina Ober-Blöbaum, R.T.S.M.
de Almagro, ArXiv:2507.06024 (2025).
date_created: 2026-01-06T18:28:18Z
date_updated: 2026-01-06T18:29:15Z
department:
- _id: '636'
external_id:
arxiv:
- '2507.06024'
language:
- iso: eng
publication: arXiv:2507.06024
status: public
title: Second order optimality conditions in a new Lagrangian formulation for optimal
control problems
type: preprint
user_id: '87909'
year: '2025'
...
---
_id: '59797'
author:
- first_name: Michael
full_name: Konopik, Michael
last_name: Konopik
- first_name: Rodrigo
full_name: T. Sato Martín de Almagro, Rodrigo
last_name: T. Sato Martín de Almagro
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Sigrid
full_name: Leyendecker, Sigrid
last_name: Leyendecker
citation:
ama: Konopik M, T. Sato Martín de Almagro R, Maslovskaya S, Ober-Blöbaum S, Leyendecker
S. Variational integrators for a new Lagrangian approach to control affine systems
with a quadratic Lagrange term. Journal of Nonlinear Science. 2025;36(11).
doi:10.1007/s00332-025-10229-5
apa: Konopik, M., T. Sato Martín de Almagro, R., Maslovskaya, S., Ober-Blöbaum,
S., & Leyendecker, S. (2025). Variational integrators for a new Lagrangian
approach to control affine systems with a quadratic Lagrange term. Journal
of Nonlinear Science, 36(11). https://doi.org/10.1007/s00332-025-10229-5
bibtex: '@article{Konopik_T. Sato Martín de Almagro_Maslovskaya_Ober-Blöbaum_Leyendecker_2025,
title={Variational integrators for a new Lagrangian approach to control affine
systems with a quadratic Lagrange term}, volume={36}, DOI={10.1007/s00332-025-10229-5},
number={11}, journal={Journal of Nonlinear Science}, author={Konopik, Michael
and T. Sato Martín de Almagro, Rodrigo and Maslovskaya, Sofya and Ober-Blöbaum,
Sina and Leyendecker, Sigrid}, year={2025} }'
chicago: Konopik, Michael, Rodrigo T. Sato Martín de Almagro, Sofya Maslovskaya,
Sina Ober-Blöbaum, and Sigrid Leyendecker. “Variational Integrators for a New
Lagrangian Approach to Control Affine Systems with a Quadratic Lagrange Term.”
Journal of Nonlinear Science 36, no. 11 (2025). https://doi.org/10.1007/s00332-025-10229-5.
ieee: 'M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum,
and S. Leyendecker, “Variational integrators for a new Lagrangian approach to
control affine systems with a quadratic Lagrange term,” Journal of Nonlinear
Science, vol. 36, no. 11, 2025, doi: 10.1007/s00332-025-10229-5.'
mla: Konopik, Michael, et al. “Variational Integrators for a New Lagrangian Approach
to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Nonlinear
Science, vol. 36, no. 11, 2025, doi:10.1007/s00332-025-10229-5.
short: M. Konopik, R. T. Sato Martín de Almagro, S. Maslovskaya, S. Ober-Blöbaum,
S. Leyendecker, Journal of Nonlinear Science 36 (2025).
date_created: 2025-05-05T09:35:31Z
date_updated: 2026-01-06T18:26:57Z
department:
- _id: '636'
doi: 10.1007/s00332-025-10229-5
intvolume: ' 36'
issue: '11'
language:
- iso: eng
publication: Journal of Nonlinear Science
status: public
title: Variational integrators for a new Lagrangian approach to control affine systems
with a quadratic Lagrange term
type: journal_article
user_id: '87909'
volume: 36
year: '2025'
...
---
_id: '59799'
author:
- first_name: Michael
full_name: Konopik, Michael
last_name: Konopik
- first_name: Sigrid
full_name: Leyendecker, Sigrid
last_name: Leyendecker
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Rodrigo
full_name: T. Sato Martín de Almagro, Rodrigo
last_name: T. Sato Martín de Almagro
citation:
ama: Konopik M, Leyendecker S, Maslovskaya S, Ober-Blöbaum S, T. Sato Martín de
Almagro R. A new Lagrangian approach to optimal control of second-order systems.
Nonlinearity. 2025;38(11). doi:10.1088/1361-6544/ae1d08
apa: Konopik, M., Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., & T. Sato
Martín de Almagro, R. (2025). A new Lagrangian approach to optimal control of
second-order systems. Nonlinearity, 38(11). https://doi.org/10.1088/1361-6544/ae1d08
bibtex: '@article{Konopik_Leyendecker_Maslovskaya_Ober-Blöbaum_T. Sato Martín de
Almagro_2025, title={A new Lagrangian approach to optimal control of second-order
systems}, volume={38}, DOI={10.1088/1361-6544/ae1d08},
number={11}, journal={Nonlinearity}, author={Konopik, Michael and Leyendecker,
Sigrid and Maslovskaya, Sofya and Ober-Blöbaum, Sina and T. Sato Martín de Almagro,
Rodrigo}, year={2025} }'
chicago: Konopik, Michael, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober-Blöbaum,
and Rodrigo T. Sato Martín de Almagro. “A New Lagrangian Approach to Optimal Control
of Second-Order Systems.” Nonlinearity 38, no. 11 (2025). https://doi.org/10.1088/1361-6544/ae1d08.
ieee: 'M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, and R. T. Sato
Martín de Almagro, “A new Lagrangian approach to optimal control of second-order
systems,” Nonlinearity, vol. 38, no. 11, 2025, doi: 10.1088/1361-6544/ae1d08.'
mla: Konopik, Michael, et al. “A New Lagrangian Approach to Optimal Control of Second-Order
Systems.” Nonlinearity, vol. 38, no. 11, 2025, doi:10.1088/1361-6544/ae1d08.
short: M. Konopik, S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. Sato Martín
de Almagro, Nonlinearity 38 (2025).
date_created: 2025-05-05T09:37:50Z
date_updated: 2026-01-06T18:24:40Z
department:
- _id: '636'
doi: 10.1088/1361-6544/ae1d08
intvolume: ' 38'
issue: '11'
language:
- iso: eng
publication: Nonlinearity
status: public
title: A new Lagrangian approach to optimal control of second-order systems
type: journal_article
user_id: '87909'
volume: 38
year: '2025'
...
---
_id: '53414'
abstract:
- lang: eng
text: "By constructing a non-empty domain of discontinuity in a suitable homogeneous\r\nspace,
we prove that every torsion-free projective Anosov subgroup is the\r\nmonodromy
group of a locally homogeneous contact Axiom A dynamical system with\r\na unique
basic hyperbolic set on which the flow is conjugate to the refraction\r\nflow
of Sambarino. Under the assumption of irreducibility, we utilize the work\r\nof
Stoyanov to establish spectral estimates for the associated complex Ruelle\r\ntransfer
operators, and by way of corollary: exponential mixing, exponentially\r\ndecaying
error term in the prime orbit theorem, and a spectral gap for the\r\nRuelle zeta
function. With no irreducibility assumption, results of\r\nDyatlov-Guillarmou
imply the global meromorphic continuation of zeta functions\r\nwith smooth weights,
as well as the existence of a discrete spectrum of\r\nRuelle-Pollicott resonances
and (co)-resonant states. We apply our results to\r\nspace-like geodesic flows
for the convex cocompact pseudo-Riemannian manifolds\r\nof Danciger-Gu\\'eritaud-Kassel,
and the Benoist-Hilbert geodesic flow for\r\nstrictly convex real projective manifolds."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Daniel
full_name: Monclair, Daniel
last_name: Monclair
- first_name: Andrew
full_name: Sanders, Andrew
last_name: Sanders
citation:
ama: 'Delarue B, Monclair D, Sanders A. Locally homogeneous Axiom A flows I: projective
Anosov subgroups and exponential mixing. Geometric and Functional Analysis
(GAFA). 2025;35:673–735. doi:10.1007/s00039-025-00712-2'
apa: 'Delarue, B., Monclair, D., & Sanders, A. (2025). Locally homogeneous Axiom
A flows I: projective Anosov subgroups and exponential mixing. Geometric and
Functional Analysis (GAFA), 35, 673–735. https://doi.org/10.1007/s00039-025-00712-2'
bibtex: '@article{Delarue_Monclair_Sanders_2025, title={Locally homogeneous Axiom
A flows I: projective Anosov subgroups and exponential mixing}, volume={35}, DOI={10.1007/s00039-025-00712-2},
journal={Geometric and Functional Analysis (GAFA)}, author={Delarue, Benjamin
and Monclair, Daniel and Sanders, Andrew}, year={2025}, pages={673–735} }'
chicago: 'Delarue, Benjamin, Daniel Monclair, and Andrew Sanders. “Locally Homogeneous
Axiom A Flows I: Projective Anosov Subgroups and Exponential Mixing.” Geometric
and Functional Analysis (GAFA) 35 (2025): 673–735. https://doi.org/10.1007/s00039-025-00712-2.'
ieee: 'B. Delarue, D. Monclair, and A. Sanders, “Locally homogeneous Axiom A flows
I: projective Anosov subgroups and exponential mixing,” Geometric and Functional
Analysis (GAFA), vol. 35, pp. 673–735, 2025, doi: 10.1007/s00039-025-00712-2.'
mla: 'Delarue, Benjamin, et al. “Locally Homogeneous Axiom A Flows I: Projective
Anosov Subgroups and Exponential Mixing.” Geometric and Functional Analysis
(GAFA), vol. 35, 2025, pp. 673–735, doi:10.1007/s00039-025-00712-2.'
short: B. Delarue, D. Monclair, A. Sanders, Geometric and Functional Analysis (GAFA)
35 (2025) 673–735.
date_created: 2024-04-11T12:31:34Z
date_updated: 2026-01-09T09:25:45Z
department:
- _id: '548'
doi: 10.1007/s00039-025-00712-2
intvolume: ' 35'
language:
- iso: eng
page: 673–735
publication: Geometric and Functional Analysis (GAFA)
publication_status: published
status: public
title: 'Locally homogeneous Axiom A flows I: projective Anosov subgroups and exponential
mixing'
type: journal_article
user_id: '70575'
volume: 35
year: '2025'
...
---
_id: '53412'
abstract:
- lang: eng
text: "Let $M$ be a symplectic manifold carrying a Hamiltonian $S^1$-action with\r\nmomentum
map $J:M \\rightarrow \\mathbb{R}$ and consider the corresponding\r\nsymplectic
quotient $\\mathcal{M}_0:=J^{-1}(0)/S^1$. We extend Sjamaar's complex\r\nof differential
forms on $\\mathcal{M}_0$, whose cohomology is isomorphic to the\r\nsingular cohomology
$H(\\mathcal{M}_0;\\mathbb{R})$ of $\\mathcal{M}_0$ with real\r\ncoefficients,
to a complex of differential forms on $\\mathcal{M}_0$ associated\r\nwith a partial
desingularization $\\widetilde{\\mathcal{M}}_0$, which we call\r\nresolution differential
forms. The cohomology of that complex turns out to be\r\nisomorphic to the de
Rham cohomology $H(\\widetilde{ \\mathcal{M}}_0)$ of\r\n$\\widetilde{\\mathcal{M}}_0$.
Based on this, we derive a long exact sequence\r\ninvolving both $H(\\mathcal{M}_0;\\mathbb{R})$
and $H(\\widetilde{\r\n\\mathcal{M}}_0)$ and give conditions for its splitting.
We then define a Kirwan\r\nmap $\\mathcal{K}:H_{S^1}(M) \\rightarrow H(\\widetilde{\\mathcal{M}}_0)$
from the\r\nequivariant cohomology $H_{S^1}(M)$ of $M$ to $H(\\widetilde{\\mathcal{M}}_0)$\r\nand
show that its image contains the image of $H(\\mathcal{M}_0;\\mathbb{R})$ in\r\n$H(\\widetilde{\\mathcal{M}}_0)$
under the natural inclusion. Combining both\r\nresults in the case that all fixed
point components of $M$ have vanishing odd\r\ncohomology we obtain a surjection
$\\check \\kappa:H^\\textrm{ev}_{S^1}(M)\r\n\\rightarrow H^\\textrm{ev}(\\mathcal{M}_0;\\mathbb{R})$
in even degrees, while\r\nalready simple examples show that a similar surjection
in odd degrees does not\r\nexist in general. As an interesting class of examples
we study abelian polygon\r\nspaces."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Pablo
full_name: Ramacher, Pablo
last_name: Ramacher
- first_name: Maximilian
full_name: Schmitt, Maximilian
last_name: Schmitt
citation:
ama: Delarue B, Ramacher P, Schmitt M. Singular cohomology of symplectic quotients
by circle actions and Kirwan surjectivity. Transformation Groups. Published
online 2025. doi:10.1007/s00031-025-09924-0
apa: Delarue, B., Ramacher, P., & Schmitt, M. (2025). Singular cohomology of
symplectic quotients by circle actions and Kirwan surjectivity. Transformation
Groups. https://doi.org/10.1007/s00031-025-09924-0
bibtex: '@article{Delarue_Ramacher_Schmitt_2025, title={Singular cohomology of symplectic
quotients by circle actions and Kirwan surjectivity}, DOI={10.1007/s00031-025-09924-0},
journal={Transformation Groups}, author={Delarue, Benjamin and Ramacher, Pablo
and Schmitt, Maximilian}, year={2025} }'
chicago: Delarue, Benjamin, Pablo Ramacher, and Maximilian Schmitt. “Singular Cohomology
of Symplectic Quotients by Circle Actions and Kirwan Surjectivity.” Transformation
Groups, 2025. https://doi.org/10.1007/s00031-025-09924-0.
ieee: 'B. Delarue, P. Ramacher, and M. Schmitt, “Singular cohomology of symplectic
quotients by circle actions and Kirwan surjectivity,” Transformation Groups,
2025, doi: 10.1007/s00031-025-09924-0.'
mla: Delarue, Benjamin, et al. “Singular Cohomology of Symplectic Quotients by Circle
Actions and Kirwan Surjectivity.” Transformation Groups, 2025, doi:10.1007/s00031-025-09924-0.
short: B. Delarue, P. Ramacher, M. Schmitt, Transformation Groups (2025).
date_created: 2024-04-11T12:30:59Z
date_updated: 2026-01-09T09:27:08Z
department:
- _id: '548'
doi: 10.1007/s00031-025-09924-0
language:
- iso: eng
publication: Transformation Groups
publication_status: epub_ahead
status: public
title: Singular cohomology of symplectic quotients by circle actions and Kirwan surjectivity
type: journal_article
user_id: '70575'
year: '2025'
...
---
_id: '63556'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Joachim
full_name: Engel, Joachim
last_name: Engel
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Susanne
full_name: Podworny, Susanne
last_name: Podworny
citation:
ama: 'Biehler R, Engel J, Frischemeier D, Podworny S. Civic Statistical Literacy:
Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels. mathematica
didactica. 2025;48(2). doi:10.18716/ojs/md/2025.2297'
apa: 'Biehler, R., Engel, J., Frischemeier, D., & Podworny, S. (2025). Civic
Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels.
mathematica didactica, 48(2). https://doi.org/10.18716/ojs/md/2025.2297'
bibtex: '@article{Biehler_Engel_Frischemeier_Podworny_2025, title={Civic Statistical
Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels}, volume={48},
DOI={10.18716/ojs/md/2025.2297},
number={2}, journal={mathematica didactica}, author={Biehler, Rolf and Engel,
Joachim and Frischemeier, Daniel and Podworny, Susanne}, year={2025} }'
chicago: 'Biehler, Rolf, Joachim Engel, Daniel Frischemeier, and Susanne Podworny.
“Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des
Klimawandels.” mathematica didactica 48, no. 2 (2025). https://doi.org/10.18716/ojs/md/2025.2297.'
ieee: 'R. Biehler, J. Engel, D. Frischemeier, and S. Podworny, “Civic Statistical
Literacy: Konzept und praxisnahe Umsetzung am Beispiel des Klimawandels,” mathematica
didactica, vol. 48, no. 2, 2025, doi: 10.18716/ojs/md/2025.2297.'
mla: 'Biehler, Rolf, et al. “Civic Statistical Literacy: Konzept und praxisnahe
Umsetzung am Beispiel des Klimawandels.” mathematica didactica, vol. 48,
no. 2, 2025, doi:10.18716/ojs/md/2025.2297.'
short: R. Biehler, J. Engel, D. Frischemeier, S. Podworny, mathematica didactica
48 (2025).
date_created: 2026-01-12T11:23:57Z
date_updated: 2026-01-12T11:26:40Z
department:
- _id: '363'
doi: 10.18716/ojs/md/2025.2297
intvolume: ' 48'
issue: '2'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://journals.ub.uni-koeln.de/index.php/mathematica_didactica/article/view/2297
oa: '1'
publication: mathematica didactica
status: public
title: 'Civic Statistical Literacy: Konzept und praxisnahe Umsetzung am Beispiel des
Klimawandels'
type: journal_article
user_id: '37888'
volume: 48
year: '2025'
...
---
_id: '63569'
abstract:
- lang: eng
text: "Let $G$ be a totally disconnected locally compact (tdlc) group. The contraction
group $\\mathrm{con}(g)$ of an element $g\\in G$ is the set of all $h\\in G$ such
that $g^n h g^{-n} \\to 1_G$ as $n \\to \\infty$. The nub of $g$ can then be characterized
as the intersection $\\mathrm{nub}(g)$ of the closures of $\\mathrm{con}(g)$ and
$\\mathrm{con}(g^{-1})$.\r\n Contraction groups and nubs provide important tools
in the study of the structure of tdlc groups, as already evidenced in the work
of G. Willis. It is known that $\\mathrm{nub}(g) = \\{1\\}$ if and only if $\\mathrm{con}(g)$
is closed. In general, contraction groups are not closed and computing the nub
is typically a challenging problem.\r\n Maximal Kac-Moody groups over finite fields
form a prominent family of non-discrete compactly generated simple tdlc groups.
In this paper we give a complete description of the nub of any element in these
groups."
author:
- first_name: Sebastian
full_name: Bischof, Sebastian
id: '106729'
last_name: Bischof
- first_name: Timothée
full_name: Marquis, Timothée
last_name: Marquis
citation:
ama: Bischof S, Marquis T. Describing the nub in maximal Kac-Moody groups. Published
online 2025.
apa: Bischof, S., & Marquis, T. (2025). Describing the nub in maximal Kac-Moody
groups.
bibtex: '@article{Bischof_Marquis_2025, title={Describing the nub in maximal Kac-Moody
groups}, author={Bischof, Sebastian and Marquis, Timothée}, year={2025} }'
chicago: Bischof, Sebastian, and Timothée Marquis. “Describing the Nub in Maximal
Kac-Moody Groups,” 2025.
ieee: S. Bischof and T. Marquis, “Describing the nub in maximal Kac-Moody groups.”
2025.
mla: Bischof, Sebastian, and Timothée Marquis. Describing the Nub in Maximal
Kac-Moody Groups. 2025.
short: S. Bischof, T. Marquis, (2025).
date_created: 2026-01-12T14:12:09Z
date_updated: 2026-01-12T14:33:08Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2508.15506
language:
- iso: eng
status: public
title: Describing the nub in maximal Kac-Moody groups
type: preprint
user_id: '106729'
year: '2025'
...
---
_id: '63568'
abstract:
- lang: eng
text: In this article we work out the details of flat groups of the automorphism
group of locally finite Bruhat-Tits buildings.
author:
- first_name: Sebastian
full_name: Bischof, Sebastian
id: '106729'
last_name: Bischof
citation:
ama: Bischof S. On flat groups in affine buildings. Published online 2025.
apa: Bischof, S. (2025). On flat groups in affine buildings.
bibtex: '@article{Bischof_2025, title={On flat groups in affine buildings}, author={Bischof,
Sebastian}, year={2025} }'
chicago: Bischof, Sebastian. “On Flat Groups in Affine Buildings,” 2025.
ieee: S. Bischof, “On flat groups in affine buildings.” 2025.
mla: Bischof, Sebastian. On Flat Groups in Affine Buildings. 2025.
short: S. Bischof, (2025).
date_created: 2026-01-12T14:11:47Z
date_updated: 2026-01-12T14:32:33Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2512.16548
language:
- iso: eng
status: public
title: On flat groups in affine buildings
type: preprint
user_id: '106729'
year: '2025'
...
---
_id: '63571'
abstract:
- lang: ger
text: Prüfungen sind ein wesentlicher Bestandteil des Mathematikunterrichts. Mündliche
Prüfungsformate sind insbesondere in Abschlussprüfungen üblich, wurden aber bislang
kaum untersucht. Dieses Projekt widmet sich dem Vorkommen und der Bedeutung verschiedener
Wissensarten in mündlichen Prüfungen. Dazu soll auf Grundlage videografierter
Prüfungsgespräche eine Taxonomie für abgefragte Wissensarten entwickelt werden.
Der Vortrag präsentiert die Konzeption sowie erste Ergebnisse einer Vorstudie,
die als Basis für eine vertiefte Analyse realer Prüfungen dient.
author:
- first_name: Johannes
full_name: Hellmund, Johannes
id: '111364'
last_name: Hellmund
citation:
ama: 'Hellmund J. Mündliche Prüfungen im Mathematikunterricht – welche Arten des
Wissens werden abgefragt? In: Schick L, Platz M, Lambert A, eds. Beiträge zum
Mathematikunterricht 2025. WTM; 2025:1417. doi:10.17877/DE290R-25900'
apa: Hellmund, J. (2025). Mündliche Prüfungen im Mathematikunterricht – welche Arten
des Wissens werden abgefragt? In L. Schick, M. Platz, & A. Lambert (Eds.),
Beiträge zum Mathematikunterricht 2025 (p. 1417). WTM. https://doi.org/10.17877/DE290R-25900
bibtex: '@inproceedings{Hellmund_2025, title={Mündliche Prüfungen im Mathematikunterricht
– welche Arten des Wissens werden abgefragt?}, DOI={10.17877/DE290R-25900},
booktitle={Beiträge zum Mathematikunterricht 2025}, publisher={WTM}, author={Hellmund,
Johannes}, editor={Schick, L. and Platz, M. and Lambert, A.}, year={2025}, pages={1417}
}'
chicago: Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche
Arten des Wissens werden abgefragt?” In Beiträge zum Mathematikunterricht 2025,
edited by L. Schick, M. Platz, and A. Lambert, 1417. WTM, 2025. https://doi.org/10.17877/DE290R-25900.
ieee: 'J. Hellmund, “Mündliche Prüfungen im Mathematikunterricht – welche Arten
des Wissens werden abgefragt?,” in Beiträge zum Mathematikunterricht 2025,
Saarbrücken, 2025, p. 1417, doi: 10.17877/DE290R-25900.'
mla: Hellmund, Johannes. “Mündliche Prüfungen im Mathematikunterricht – welche Arten
des Wissens werden abgefragt?” Beiträge zum Mathematikunterricht 2025,
edited by L. Schick et al., WTM, 2025, p. 1417, doi:10.17877/DE290R-25900.
short: 'J. Hellmund, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge zum Mathematikunterricht
2025, WTM, 2025, p. 1417.'
conference:
end_date: 2025-03-07
location: Saarbrücken
name: 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik
start_date: 2025-03-03
date_created: 2026-01-12T17:16:19Z
date_updated: 2026-01-12T17:18:39Z
department:
- _id: '979'
- _id: '983'
doi: 10.17877/DE290R-25900
editor:
- first_name: L.
full_name: Schick, L.
last_name: Schick
- first_name: M.
full_name: Platz, M.
last_name: Platz
- first_name: A.
full_name: Lambert, A.
last_name: Lambert
language:
- iso: ger
page: '1417'
publication: Beiträge zum Mathematikunterricht 2025
publisher: WTM
status: public
title: Mündliche Prüfungen im Mathematikunterricht – welche Arten des Wissens werden
abgefragt?
type: conference
user_id: '111364'
year: '2025'
...
---
_id: '34807'
abstract:
- lang: eng
text: "Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of
all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak
g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent
real-analytic vector fields on $M$ which are integrable\r\nfunctions in time,
and their dependence on the time-dependent vector field.\r\nNotably, we show that
the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak
g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function
on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several
new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups,
for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of
other classes of groups.\r\nMoreover, we obtain new results concerning the continuity
and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex
direct\r\nlimits."
article_number: '113690'
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear
Analysis. 2025;252. doi:10.1016/j.na.2024.113690
apa: Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular.
Nonlinear Analysis, 252, Article 113690. https://doi.org/10.1016/j.na.2024.113690
bibtex: '@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms
are L^1-regular}, volume={252}, DOI={10.1016/j.na.2024.113690},
number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025}
}'
chicago: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis 252 (2025). https://doi.org/10.1016/j.na.2024.113690.
ieee: 'H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,”
Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.'
mla: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis, vol. 252, 113690, 2025, doi:10.1016/j.na.2024.113690.
short: H. Glöckner, Nonlinear Analysis 252 (2025).
date_created: 2022-12-22T07:49:32Z
date_updated: 2024-12-24T16:58:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.na.2024.113690
intvolume: ' 252'
language:
- iso: eng
publication: Nonlinear Analysis
quality_controlled: '1'
status: public
title: Lie groups of real analytic diffeomorphisms are L^1-regular
type: journal_article
user_id: '178'
volume: 252
year: '2025'
...
---
_id: '56298'
abstract:
- lang: eng
text: "In the general pattern formation (GPF) problem, a swarm of simple autonomous,\r\ndisoriented
robots must form a given pattern. The robots' simplicity imply a\r\nstrong limitation:
When the initial configuration is rotationally symmetric,\r\nonly patterns with
a similar symmetry can be formed [Yamashita, Suzyuki; TCS\r\n2010]. The only known
algorithm to form large patterns with limited visibility\r\nand without memory
requires the robots to start in a near-gathering (a swarm of\r\nconstant diameter)
[Hahn et al.; SAND 2024]. However, not only do we not know\r\nany near-gathering
algorithm guaranteed to preserve symmetry but most natural\r\ngathering strategies
trivially increase symmetries [Castenow et al.; OPODIS\r\n2022].\r\n Thus, we
study near-gathering without changing the swarm's rotational\r\nsymmetry for disoriented,
oblivious robots with limited visibility (the\r\nOBLOT-model, see [Flocchini et
al.; 2019]). We introduce a technique based on\r\nthe theory of dynamical systems
to analyze how a given algorithm affects\r\nsymmetry and provide sufficient conditions
for symmetry preservation. Until\r\nnow, it was unknown whether the considered
OBLOT-model allows for any\r\nnon-trivial algorithm that always preserves symmetry.
Our first result shows\r\nthat a variant of Go-to-the-Average always preserves
symmetry but may sometimes\r\nlead to multiple, unconnected near-gathering clusters.
Our second result is a\r\nsymmetry-preserving near-gathering algorithm that works
on swarms with a convex\r\nboundary (the outer boundary of the unit disc graph)
and without holes (circles\r\nof diameter 1 inside the boundary without any robots)."
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
orcid: 0009-0002-4750-2051
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Christopher
full_name: Hahn, Christopher
last_name: Hahn
- first_name: Jonas
full_name: Harbig, Jonas
id: '47213'
last_name: Harbig
- first_name: Peter
full_name: Kling, Peter
last_name: Kling
citation:
ama: 'Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation
in Swarms of Oblivious Robots with Limited Visibility. In: Bonomi S, Galletta
L, Rivière Etienne, Schiavoni Valerio, eds. 28th International Conference
on Principles of Distributed Systems (OPODIS 2024). Vol 324. Leibniz International
Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik;
2025. doi:10.4230/LIPIcs.OPODIS.2024.13'
apa: Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025).
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility.
In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.),
28th International Conference on Principles of Distributed Systems (OPODIS
2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
bibtex: '@inproceedings{Gerlach_von der Gracht_Hahn_Harbig_Kling_2025, series={Leibniz
International Proceedings in Informatics (LIPIcs)}, title={Symmetry Preservation
in Swarms of Oblivious Robots with Limited Visibility}, volume={324}, DOI={10.4230/LIPIcs.OPODIS.2024.13},
booktitle={28th International Conference on Principles of Distributed Systems
(OPODIS 2024)}, publisher={Schloss Dagstuhl -- Leibniz-Zentrum für Informatik},
author={Gerlach, Raphael and von der Gracht, Sören and Hahn, Christopher and Harbig,
Jonas and Kling, Peter}, editor={Bonomi, Silvia and Galletta, Letterio and Rivière, Etienne
and Schiavoni, Valerio}, year={2025}, collection={Leibniz International Proceedings
in Informatics (LIPIcs)} }'
chicago: Gerlach, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig,
and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited
Visibility.” In 28th International Conference on Principles of Distributed
Systems (OPODIS 2024), edited by Silvia Bonomi, Letterio Galletta, Etienne
Rivière, and Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in
Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
https://doi.org/10.4230/LIPIcs.OPODIS.2024.13.
ieee: 'R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry
Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th
International Conference on Principles of Distributed Systems (OPODIS 2024),
Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.'
mla: Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots
with Limited Visibility.” 28th International Conference on Principles of Distributed
Systems (OPODIS 2024), edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl
-- Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.OPODIS.2024.13.
short: 'R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi,
L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference
on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum
für Informatik, 2025.'
conference:
end_date: 2024-12-13
location: Lucca, Italy
name: 28th International Conference on Principles of Distributed Systems (OPODIS
2024)
start_date: 2024-12-11
date_created: 2024-10-01T13:29:43Z
date_updated: 2025-01-09T11:39:19Z
department:
- _id: '101'
doi: 10.4230/LIPIcs.OPODIS.2024.13
editor:
- first_name: Silvia
full_name: Bonomi, Silvia
last_name: Bonomi
- first_name: Letterio
full_name: Galletta, Letterio
last_name: Galletta
- first_name: ' Etienne'
full_name: Rivière, Etienne
last_name: Rivière
- first_name: ' Valerio'
full_name: Schiavoni, Valerio
last_name: Schiavoni
external_id:
arxiv:
- '2409.19277'
intvolume: ' 324'
keyword:
- Swarm Algorithm
- Swarm Robots
- Distributed Algorithm
- Pattern Formation
- Limited Visibility
- Oblivious
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2409.19277
oa: '1'
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: 28th International Conference on Principles of Distributed Systems (OPODIS
2024)
publication_identifier:
isbn:
- 978-3-95977-360-7
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl -- Leibniz-Zentrum für Informatik
series_title: Leibniz International Proceedings in Informatics (LIPIcs)
status: public
title: Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
type: conference
user_id: '97359'
volume: 324
year: '2025'
...
---
_id: '58532'
author:
- first_name: Nils
full_name: Bullerjahn, Nils
id: '103797'
last_name: Bullerjahn
orcid: https://orcid.org/0009-0003-8460-1574
citation:
ama: Bullerjahn N. Error estimates for full discretization by an almost mass conservation
technique for Cahn--Hilliard systems with dynamic boundary conditions. arXiv.
Published online 2025. doi:10.48550/ARXIV.2502.03847
apa: Bullerjahn, N. (2025). Error estimates for full discretization by an almost
mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions.
ArXiv. https://doi.org/10.48550/ARXIV.2502.03847
bibtex: '@article{Bullerjahn_2025, title={Error estimates for full discretization
by an almost mass conservation technique for Cahn--Hilliard systems with dynamic
boundary conditions}, DOI={10.48550/ARXIV.2502.03847},
journal={arXiv}, author={Bullerjahn, Nils}, year={2025} }'
chicago: Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost
Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.”
ArXiv, 2025. https://doi.org/10.48550/ARXIV.2502.03847.
ieee: 'N. Bullerjahn, “Error estimates for full discretization by an almost mass
conservation technique for Cahn--Hilliard systems with dynamic boundary conditions,”
arXiv, 2025, doi: 10.48550/ARXIV.2502.03847.'
mla: Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass
Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.”
ArXiv, 2025, doi:10.48550/ARXIV.2502.03847.
short: N. Bullerjahn, ArXiv (2025).
date_created: 2025-02-07T08:27:10Z
date_updated: 2025-02-07T08:28:48Z
department:
- _id: '841'
doi: 10.48550/ARXIV.2502.03847
language:
- iso: eng
publication: arXiv
status: public
title: Error estimates for full discretization by an almost mass conservation technique
for Cahn--Hilliard systems with dynamic boundary conditions
type: journal_article
user_id: '103797'
year: '2025'
...
---
_id: '58544'
abstract:
- lang: eng
text: 'We introduce a new classification of multimode states with a fixed number
of photons. This classification is based on the factorizability of homogeneous
multivariate polynomials and is invariant under unitary transformations. The classes
physically correspond to field excitations in terms of single and multiple photons,
each of which being in an arbitrary irreducible superposition of quantized modes.
We further show how the transitions between classes are rendered possible by photon
addition, photon subtraction, and photon-projection nonlinearities. We explicitly
put forward a design for a multilayer interferometer in which the states for different
classes can be generated with state-of-the-art experimental techniques. Limitations
of the proposed designs are analyzed using the introduced classification, providing
a benchmark for the robustness of certain states and classes. '
author:
- first_name: Denis
full_name: Kopylov, Denis
id: '98502'
last_name: Kopylov
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Torsten
full_name: Meier, Torsten
id: '344'
last_name: Meier
orcid: 0000-0001-8864-2072
- first_name: Polina
full_name: Sharapova, Polina
id: '60286'
last_name: Sharapova
- first_name: Jan
full_name: Sperling, Jan
id: '75127'
last_name: Sperling
orcid: 0000-0002-5844-3205
citation:
ama: Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification
for nonlinear optical circuits .
apa: Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier,
T., Sharapova, P., & Sperling, J. (n.d.). Multiphoton, multimode state
classification for nonlinear optical circuits .
bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling,
title={Multiphoton, multimode state classification for nonlinear optical circuits
}, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo,
Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and
Sperling, Jan} }'
chicago: Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina
Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton,
Multimode State Classification for Nonlinear Optical Circuits ,” n.d.
ieee: D. Kopylov et al., “Multiphoton, multimode state classification for
nonlinear optical circuits .” .
mla: Kopylov, Denis, et al. Multiphoton, Multimode State Classification for Nonlinear
Optical Circuits .
short: D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier,
P. Sharapova, J. Sperling, (n.d.).
date_created: 2025-02-10T08:26:45Z
date_updated: 2025-02-10T08:36:12Z
department:
- _id: '623'
- _id: '15'
- _id: '636'
external_id:
arxiv:
- '2502.05123'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2502.05123
oa: '1'
publication_status: submitted
status: public
title: 'Multiphoton, multimode state classification for nonlinear optical circuits '
type: preprint
user_id: '85279'
year: '2025'
...
---
_id: '58947'
article_number: '101242'
author:
- first_name: Katja
full_name: Krüger, Katja
last_name: Krüger
- first_name: Gerda
full_name: Werth, Gerda
id: '578'
last_name: Werth
citation:
ama: Krüger K, Werth G. Mathematics education for girls in Prussia 1890–1925. The
Journal of Mathematical Behavior. 2025;79. doi:10.1016/j.jmathb.2025.101242
apa: Krüger, K., & Werth, G. (2025). Mathematics education for girls in Prussia
1890–1925. The Journal of Mathematical Behavior, 79, Article 101242.
https://doi.org/10.1016/j.jmathb.2025.101242
bibtex: '@article{Krüger_Werth_2025, title={Mathematics education for girls in Prussia
1890–1925}, volume={79}, DOI={10.1016/j.jmathb.2025.101242},
number={101242}, journal={The Journal of Mathematical Behavior}, publisher={Elsevier
BV}, author={Krüger, Katja and Werth, Gerda}, year={2025} }'
chicago: Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia
1890–1925.” The Journal of Mathematical Behavior 79 (2025). https://doi.org/10.1016/j.jmathb.2025.101242.
ieee: 'K. Krüger and G. Werth, “Mathematics education for girls in Prussia 1890–1925,”
The Journal of Mathematical Behavior, vol. 79, Art. no. 101242, 2025, doi:
10.1016/j.jmathb.2025.101242.'
mla: Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia
1890–1925.” The Journal of Mathematical Behavior, vol. 79, 101242, Elsevier
BV, 2025, doi:10.1016/j.jmathb.2025.101242.
short: K. Krüger, G. Werth, The Journal of Mathematical Behavior 79 (2025).
date_created: 2025-03-10T10:46:07Z
date_updated: 2025-03-10T10:54:03Z
department:
- _id: '34'
- _id: '10'
- _id: '98'
- _id: '360'
doi: 10.1016/j.jmathb.2025.101242
intvolume: ' 79'
language:
- iso: eng
publication: The Journal of Mathematical Behavior
publication_identifier:
issn:
- 0732-3123
publication_status: published
publisher: Elsevier BV
status: public
title: Mathematics education for girls in Prussia 1890–1925
type: journal_article
user_id: '578'
volume: 79
year: '2025'
...
---
_id: '58953'
abstract:
- lang: eng
text: In this article, we investigate symmetry properties of distributed systems
of mobile robots. We consider a swarm of n robots in the OBLOT model and analyze
their collective Fsync dynamics using of equivariant dynamical systems theory.
To this end, we show that the corresponding evolution function commutes with rotational
and reflective transformations of R^2. These form a group that is isomorphic to
O(2) x S_n, the product group of the orthogonal group and the permutation on n
elements. The theory of equivariant dynamical systems is used to deduce a hierarchy
along which symmetries of a robot swarm can potentially increase following an
arbitrary protocol. By decoupling the Look phase from the Compute and Move phases
in the mathematical description of an LCM cycle, this hierarchy can be characterized
in terms of automorphisms of connectivity graphs. In particular, we find all possible
types of symmetry increase, if the decoupled Compute and Move phase is invertible.
Finally, we apply our results to protocols which induce state-dependent linear
dynamics, where the reduced system consisting of only the Compute and Move phase
is linear.
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
orcid: 0009-0002-4750-2051
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
citation:
ama: Gerlach R, von der Gracht S. Analyzing Symmetries of Swarms of Mobile Robots
Using Equivariant Dynamical Systems. arXiv:250307576. Published online
2025.
apa: Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems. In arXiv:2503.07576.
bibtex: '@article{Gerlach_von der Gracht_2025, title={Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems}, journal={arXiv:2503.07576},
author={Gerlach, Raphael and von der Gracht, Sören}, year={2025} }'
chicago: Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems.” ArXiv:2503.07576,
2025.
ieee: R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile
Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
mla: Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems.” ArXiv:2503.07576,
2025.
short: R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
date_created: 2025-03-11T08:21:05Z
date_updated: 2025-03-11T08:53:02Z
ddc:
- '004'
department:
- _id: '101'
external_id:
arxiv:
- '2503.07576'
file:
- access_level: open_access
content_type: application/pdf
creator: svdg
date_created: 2025-03-11T08:27:32Z
date_updated: 2025-03-11T08:27:32Z
file_id: '58954'
file_name: Analyzing_Symmetries_of_Swarms_of_Mobile_Robots_Using_Equivariant_Dynamical_Systems.pdf
file_size: 812198
relation: main_file
file_date_updated: 2025-03-11T08:27:32Z
has_accepted_license: '1'
keyword:
- dynamical systems
- coupled systems
- distributed computing
- robot swarms
- autonomous mobile robots
- symmetry
- equivariant dynamics
language:
- iso: eng
oa: '1'
page: '23'
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: arXiv:2503.07576
status: public
title: Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical
Systems
type: preprint
user_id: '97359'
year: '2025'
...