---
_id: '62980'
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 is 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.
article_number: '033062'
author:
- first_name: Denis A.
full_name: Kopylov, Denis A.
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 R.
full_name: Sharapova, Polina R.
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 DA, Offen C, Ares L, et al. Multiphoton, multimode state classification
for nonlinear optical circuits. Physical Review Research. 2025;7(3). doi:10.1103/sv6z-v1gk
apa: Kopylov, D. A., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S.,
Meier, T., Sharapova, P. R., & Sperling, J. (2025). Multiphoton, multimode
state classification for nonlinear optical circuits. Physical Review Research,
7(3), Article 033062. https://doi.org/10.1103/sv6z-v1gk
bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling_2025,
title={Multiphoton, multimode state classification for nonlinear optical circuits},
volume={7}, DOI={10.1103/sv6z-v1gk},
number={3033062}, journal={Physical Review Research}, publisher={American Physical
Society (APS)}, author={Kopylov, Denis A. and Offen, Christian and Ares, Laura
and Wembe Moafo, Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova,
Polina R. and Sperling, Jan}, year={2025} }'
chicago: Kopylov, Denis A., Christian Offen, Laura Ares, Boris Edgar Wembe Moafo,
Sina Ober-Blöbaum, Torsten Meier, Polina R. Sharapova, and Jan Sperling. “Multiphoton,
Multimode State Classification for Nonlinear Optical Circuits.” Physical Review
Research 7, no. 3 (2025). https://doi.org/10.1103/sv6z-v1gk.
ieee: 'D. A. Kopylov et al., “Multiphoton, multimode state classification
for nonlinear optical circuits,” Physical Review Research, vol. 7, no.
3, Art. no. 033062, 2025, doi: 10.1103/sv6z-v1gk.'
mla: Kopylov, Denis A., et al. “Multiphoton, Multimode State Classification for
Nonlinear Optical Circuits.” Physical Review Research, vol. 7, no. 3, 033062,
American Physical Society (APS), 2025, doi:10.1103/sv6z-v1gk.
short: D.A. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier,
P.R. Sharapova, J. Sperling, Physical Review Research 7 (2025).
date_created: 2025-12-09T09:08:39Z
date_updated: 2025-12-09T09:10:01Z
department:
- _id: '15'
- _id: '569'
- _id: '170'
- _id: '293'
- _id: '706'
- _id: '636'
- _id: '35'
- _id: '230'
- _id: '429'
- _id: '623'
doi: 10.1103/sv6z-v1gk
intvolume: ' 7'
issue: '3'
language:
- iso: eng
project:
- _id: '53'
name: 'TRR 142: Maßgeschneiderte nichtlineare Photonik: Von grundlegenden Konzepten
zu funktionellen Strukturen'
- _id: '56'
name: TRR 142 - Project Area C
- _id: '174'
name: 'TRR 142 ; TP: C10: Erzeugung und Charakterisierung von Quantenlicht in nichtlinearen
Systemen: Eine theoretische Analyse'
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: Physical Review Research
publication_identifier:
issn:
- 2643-1564
publication_status: published
publisher: American Physical Society (APS)
status: public
title: Multiphoton, multimode state classification for nonlinear optical circuits
type: journal_article
user_id: '16199'
volume: 7
year: '2025'
...
---
_id: '63036'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
- first_name: Dubravka
full_name: Glasnović Gracin, Dubravka
last_name: Glasnović Gracin
- first_name: Hendrik
full_name: Van Steenbrugge, Hendrik
last_name: Van Steenbrugge
- first_name: Henning
full_name: Sievert, Henning
last_name: Sievert
citation:
ama: 'Rezat S, Glasnović Gracin D, Van Steenbrugge H, Sievert H. The quality of
print and digital mathematics curriculum resources. In: Pepin B, Kohanová I, Langfeldt
MB, eds. Proceedings of the Fifth International Conference on Mathematics Textbook
Research and Development. Norwegian University of Science and Technology.;
2025:72–91.'
apa: Rezat, S., Glasnović Gracin, D., Van Steenbrugge, H., & Sievert, H. (2025).
The quality of print and digital mathematics curriculum resources. In B. Pepin,
I. Kohanová, & M. B. Langfeldt (Eds.), Proceedings of the Fifth International
Conference on Mathematics Textbook Research and Development. (pp. 72–91).
Norwegian University of Science and Technology.
bibtex: '@inproceedings{Rezat_Glasnović Gracin_Van Steenbrugge_Sievert_2025, title={The
quality of print and digital mathematics curriculum resources}, booktitle={Proceedings
of the Fifth International Conference on Mathematics Textbook Research and Development.},
publisher={Norwegian University of Science and Technology.}, author={Rezat, Sebastian
and Glasnović Gracin, Dubravka and Van Steenbrugge, Hendrik and Sievert, Henning},
editor={Pepin, Birgit and Kohanová, Iveta and Langfeldt, Marit Buset}, year={2025},
pages={72–91} }'
chicago: Rezat, Sebastian, Dubravka Glasnović Gracin, Hendrik Van Steenbrugge, and
Henning Sievert. “The Quality of Print and Digital Mathematics Curriculum Resources.”
In Proceedings of the Fifth International Conference on Mathematics Textbook
Research and Development., edited by Birgit Pepin, Iveta Kohanová, and Marit
Buset Langfeldt, 72–91. Norwegian University of Science and Technology., 2025.
ieee: S. Rezat, D. Glasnović Gracin, H. Van Steenbrugge, and H. Sievert, “The quality
of print and digital mathematics curriculum resources,” in Proceedings of the
Fifth International Conference on Mathematics Textbook Research and Development.,
Trondheim, Norway, 2025, pp. 72–91.
mla: Rezat, Sebastian, et al. “The Quality of Print and Digital Mathematics Curriculum
Resources.” Proceedings of the Fifth International Conference on Mathematics
Textbook Research and Development., edited by Birgit Pepin et al., Norwegian
University of Science and Technology., 2025, pp. 72–91.
short: 'S. Rezat, D. Glasnović Gracin, H. Van Steenbrugge, H. Sievert, in: B. Pepin,
I. Kohanová, M.B. Langfeldt (Eds.), Proceedings of the Fifth International Conference
on Mathematics Textbook Research and Development., Norwegian University of Science
and Technology., 2025, pp. 72–91.'
conference:
end_date: 2025-06-20
location: Trondheim, Norway
name: Fifth International Conference on Mathematics Textbook Research and Development
(ICMT5)
start_date: 2025-06-17
date_created: 2025-12-11T15:36:37Z
date_updated: 2025-12-12T10:15:57Z
ddc:
- '370'
department:
- _id: '360'
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Iveta
full_name: Kohanová, Iveta
last_name: Kohanová
- first_name: Marit Buset
full_name: Langfeldt, Marit Buset
last_name: Langfeldt
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2025-12-11T15:39:27Z
date_updated: 2025-12-11T15:39:27Z
file_id: '63037'
file_name: Proceedings ICMT5 december 2026 Seiten 85-104.pdf
file_size: 724455
relation: main_file
success: 1
file_date_updated: 2025-12-11T15:39:27Z
has_accepted_license: '1'
language:
- iso: eng
page: 72–91
publication: Proceedings of the Fifth International Conference on Mathematics Textbook
Research and Development.
publication_identifier:
isbn:
- 978-82-691902-2-9
publication_status: published
publisher: Norwegian University of Science and Technology.
status: public
title: The quality of print and digital mathematics curriculum resources
type: conference
user_id: '31132'
year: '2025'
...
---
_id: '63034'
author:
- first_name: Lea
full_name: Stallmeister, Lea
id: '63369'
last_name: Stallmeister
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Stallmeister L, Rezat S. Students’ use of different material resources for
specific purposes in the process of learning mathematics. In: Pepin B, Kohanová
I, Langfeldt MB, eds. Proceedings of the Fifth International Conference on
Mathematics Textbook Research and Development. Norwegian University of Science
and Technology; 2025.'
apa: Stallmeister, L., & Rezat, S. (2025). Students’ use of different material
resources for specific purposes in the process of learning mathematics. In B.
Pepin, I. Kohanová, & M. B. Langfeldt (Eds.), Proceedings of the Fifth
International Conference on Mathematics Textbook Research and Development.
Norwegian University of Science and Technology.
bibtex: '@inproceedings{Stallmeister_Rezat_2025, title={Students’ use of different
material resources for specific purposes in the process of learning mathematics},
booktitle={Proceedings of the Fifth International Conference on Mathematics Textbook
Research and Development}, publisher={Norwegian University of Science and Technology},
author={Stallmeister, Lea and Rezat, Sebastian}, editor={Pepin, Birgit and Kohanová,
Iveta and Langfeldt, Marit Buset}, year={2025} }'
chicago: Stallmeister, Lea, and Sebastian Rezat. “Students’ Use of Different Material
Resources for Specific Purposes in the Process of Learning Mathematics.” In Proceedings
of the Fifth International Conference on Mathematics Textbook Research and Development,
edited by Birgit Pepin, Iveta Kohanová, and Marit Buset Langfeldt. Norwegian University
of Science and Technology, 2025.
ieee: L. Stallmeister and S. Rezat, “Students’ use of different material resources
for specific purposes in the process of learning mathematics,” in Proceedings
of the Fifth International Conference on Mathematics Textbook Research and Development,
Trondheim, Norway, 2025.
mla: Stallmeister, Lea, and Sebastian Rezat. “Students’ Use of Different Material
Resources for Specific Purposes in the Process of Learning Mathematics.” Proceedings
of the Fifth International Conference on Mathematics Textbook Research and Development,
edited by Birgit Pepin et al., Norwegian University of Science and Technology,
2025.
short: 'L. Stallmeister, S. Rezat, in: B. Pepin, I. Kohanová, M.B. Langfeldt (Eds.),
Proceedings of the Fifth International Conference on Mathematics Textbook Research
and Development, Norwegian University of Science and Technology, 2025.'
conference:
end_date: 2025-06-20
location: Trondheim, Norway
name: Fifth International Conference on Mathematics Textbook Research and Development
start_date: 2025-06-17
date_created: 2025-12-11T13:15:07Z
date_updated: 2025-12-12T10:17:46Z
department:
- _id: '98'
editor:
- first_name: Birgit
full_name: Pepin, Birgit
last_name: Pepin
- first_name: Iveta
full_name: Kohanová, Iveta
last_name: Kohanová
- first_name: Marit Buset
full_name: Langfeldt, Marit Buset
last_name: Langfeldt
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ntnu.edu/documents/1317903369/0/Proceedings+ICMT5+december+2026.pdf
oa: '1'
publication: Proceedings of the Fifth International Conference on Mathematics Textbook
Research and Development
publication_identifier:
isbn:
- 978-82-691902-2-9
publication_status: published
publisher: Norwegian University of Science and Technology
status: public
title: Students’ use of different material resources for specific purposes in the
process of learning mathematics
type: conference
user_id: '31132'
year: '2025'
...
---
_id: '60196'
abstract:
- lang: eng
text: 'This paper examines the governance and quality control of digital curriculum
resources (DCR) for K-12 mathematics education in Germany. It focuses on approval
processes and criteria set by the 16 federal states, arguing that these have the
potential to influence the development of DCR. Using qualitative content analysis,
the study explores three research questions: which DCR require official approval,
the criteria applied for approval, and the extent to which these criteria are
mathematics-specific. Findings indicate that 10 federal states maintain official
approval systems, covering digital equivalents of printed textbooks and selected
supplemental materials. However, most DCR fall outside these regulated processes,
leaving their evaluation largely to individual schools and teachers. The study
identifies 17 categories of quality criteria, but reveals a lack of detailed,
mathematics-specific requirements. Instead, many criteria are broad references
to didactical principles and educational goals, leaving the interpretation and
application of these quality standards open-ended. Subject-specific criteria are
included but remain limited in specificity. The study underscores the need for
research-informed, mathematics-specific quality standards to guide DCR development
and approval, emphasizing their importance amidst challenges like artificial intelligence.
Policymakers are urged to adopt clearer criteria to ensure high-quality DCR to
be used in schools.'
article_type: original
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: Rezat S. The quality of digital curriculum resources for mathematics in German
educational policy. ZDM – Mathematics Education. 2025;57:891–904. doi:10.1007/s11858-025-01708-w
apa: Rezat, S. (2025). The quality of digital curriculum resources for mathematics
in German educational policy. ZDM – Mathematics Education, 57, 891–904.
https://doi.org/10.1007/s11858-025-01708-w
bibtex: '@article{Rezat_2025, title={The quality of digital curriculum resources
for mathematics in German educational policy}, volume={57}, DOI={10.1007/s11858-025-01708-w},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Rezat, Sebastian}, year={2025}, pages={891–904} }'
chicago: 'Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics
in German Educational Policy.” ZDM – Mathematics Education 57 (2025): 891–904.
https://doi.org/10.1007/s11858-025-01708-w.'
ieee: 'S. Rezat, “The quality of digital curriculum resources for mathematics in
German educational policy,” ZDM – Mathematics Education, vol. 57, pp. 891–904,
2025, doi: 10.1007/s11858-025-01708-w.'
mla: Rezat, Sebastian. “The Quality of Digital Curriculum Resources for Mathematics
in German Educational Policy.” ZDM – Mathematics Education, vol. 57, Springer
Science and Business Media LLC, 2025, pp. 891–904, doi:10.1007/s11858-025-01708-w.
short: S. Rezat, ZDM – Mathematics Education 57 (2025) 891–904.
date_created: 2025-06-12T14:21:07Z
date_updated: 2025-12-16T14:32:27Z
ddc:
- '370'
department:
- _id: '360'
doi: 10.1007/s11858-025-01708-w
file:
- access_level: closed
content_type: application/pdf
creator: srezat
date_created: 2025-06-12T14:23:07Z
date_updated: 2025-06-12T14:23:07Z
file_id: '60197'
file_name: s11858-025-01708-w.pdf
file_size: 1296774
relation: main_file
success: 1
file_date_updated: 2025-06-12T14:23:07Z
has_accepted_license: '1'
intvolume: ' 57'
keyword:
- governance
- digital curriculum resources
- digital textbooks
- digital curriculum materials
- quality
language:
- iso: eng
page: ' 891–904'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: The quality of digital curriculum resources for mathematics in German educational
policy
type: journal_article
user_id: '31132'
volume: 57
year: '2025'
...
---
_id: '63150'
author:
- first_name: Charley
full_name: Cummings, Charley
last_name: Cummings
- first_name: Sira
full_name: Gratz, Sira
last_name: Gratz
- first_name: Ellen
full_name: Kirkman, Ellen
last_name: Kirkman
- first_name: Janina Carmen
full_name: Letz, Janina Carmen
id: '121953'
last_name: Letz
orcid: 0000-0002-5497-8296
- first_name: J. Daisie
full_name: Rock, J. Daisie
last_name: Rock
- first_name: Špela
full_name: Špenko, Špela
last_name: Špenko
citation:
ama: Cummings C, Gratz S, Kirkman E, Letz JC, Rock JD, Špenko Š. An equivalence
linking CM-types $A_\infty$ and $D_\infty$. Published online 2025:1-9.
apa: Cummings, C., Gratz, S., Kirkman, E., Letz, J. C., Rock, J. D., & Špenko,
Š. (2025). An equivalence linking CM-types $A_\infty$ and $D_\infty$ (pp.
1–9).
bibtex: '@article{Cummings_Gratz_Kirkman_Letz_Rock_Špenko_2025, title={An equivalence
linking CM-types $A_\infty$ and $D_\infty$}, author={Cummings, Charley and Gratz,
Sira and Kirkman, Ellen and Letz, Janina Carmen and Rock, J. Daisie and Špenko,
Špela}, year={2025}, pages={1–9} }'
chicago: Cummings, Charley, Sira Gratz, Ellen Kirkman, Janina Carmen Letz, J. Daisie
Rock, and Špela Špenko. “An Equivalence Linking CM-Types $A_\infty$ and $D_\infty$,”
2025.
ieee: C. Cummings, S. Gratz, E. Kirkman, J. C. Letz, J. D. Rock, and Š. Špenko,
“An equivalence linking CM-types $A_\infty$ and $D_\infty$.” pp. 1–9, 2025.
mla: Cummings, Charley, et al. An Equivalence Linking CM-Types $A_\infty$ and
$D_\infty$. 2025, pp. 1–9.
short: C. Cummings, S. Gratz, E. Kirkman, J.C. Letz, J.D. Rock, Š. Špenko, (2025)
1–9.
date_created: 2025-12-16T14:38:59Z
date_updated: 2025-12-16T14:40:06Z
department:
- _id: '10'
language:
- iso: eng
page: 1-9
related_material:
link:
- relation: confirmation
url: https://arxiv.org/abs/2510.24642
status: public
title: An equivalence linking CM-types $A_\infty$ and $D_\infty$
type: preprint
user_id: '121953'
year: '2025'
...
---
_id: '63149'
author:
- first_name: Antonia
full_name: Kekkou, Antonia
last_name: Kekkou
- first_name: Janina Carmen
full_name: Letz, Janina Carmen
id: '121953'
last_name: Letz
orcid: 0000-0002-5497-8296
- first_name: Marc
full_name: Stephan, Marc
last_name: Stephan
citation:
ama: Kekkou A, Letz JC, Stephan M. Regular sequences for triangulated categories.
Published online 2025:1-37.
apa: Kekkou, A., Letz, J. C., & Stephan, M. (2025). Regular sequences for
triangulated categories (pp. 1–37).
bibtex: '@article{Kekkou_Letz_Stephan_2025, title={Regular sequences for triangulated
categories}, author={Kekkou, Antonia and Letz, Janina Carmen and Stephan, Marc},
year={2025}, pages={1–37} }'
chicago: Kekkou, Antonia, Janina Carmen Letz, and Marc Stephan. “Regular Sequences
for Triangulated Categories,” 2025.
ieee: A. Kekkou, J. C. Letz, and M. Stephan, “Regular sequences for triangulated
categories.” pp. 1–37, 2025.
mla: Kekkou, Antonia, et al. Regular Sequences for Triangulated Categories.
2025, pp. 1–37.
short: A. Kekkou, J.C. Letz, M. Stephan, (2025) 1–37.
date_created: 2025-12-16T14:38:56Z
date_updated: 2025-12-16T14:42:14Z
department:
- _id: '10'
extern: '1'
language:
- iso: eng
page: 1-37
related_material:
link:
- relation: confirmation
url: https://arxiv.org/abs/2509.09941
status: public
title: Regular sequences for triangulated categories
type: preprint
user_id: '121953'
year: '2025'
...
---
_id: '63148'
author:
- first_name: Janina Carmen
full_name: Letz, Janina Carmen
id: '121953'
last_name: Letz
orcid: 0000-0002-5497-8296
citation:
ama: Letz JC. The Rouquier dimension of the category of perfect complexes over a
regular ring. Published online 2025:1-7.
apa: Letz, J. C. (2025). The Rouquier dimension of the category of perfect complexes
over a regular ring (pp. 1–7).
bibtex: '@article{Letz_2025, title={The Rouquier dimension of the category of perfect
complexes over a regular ring}, author={Letz, Janina Carmen}, year={2025}, pages={1–7}
}'
chicago: Letz, Janina Carmen. “The Rouquier Dimension of the Category of Perfect
Complexes over a Regular Ring,” 2025.
ieee: J. C. Letz, “The Rouquier dimension of the category of perfect complexes over
a regular ring.” pp. 1–7, 2025.
mla: Letz, Janina Carmen. The Rouquier Dimension of the Category of Perfect Complexes
over a Regular Ring. 2025, pp. 1–7.
short: J.C. Letz, (2025) 1–7.
date_created: 2025-12-16T14:38:52Z
date_updated: 2025-12-16T14:47:53Z
department:
- _id: '10'
extern: '1'
language:
- iso: eng
page: 1-7
related_material:
link:
- relation: confirmation
url: https://arxiv.org/abs/2506.24038
status: public
title: The Rouquier dimension of the category of perfect complexes over a regular
ring
type: preprint
user_id: '121953'
year: '2025'
...
---
_id: '59507'
abstract:
- lang: eng
text: Differential equations posed on quadratic matrix Lie groups arise in the context
of classical mechanics and quantum dynamical systems. Lie group numerical integrators
preserve the constants of motions defining the Lie group. Thus, they respect important
physical laws of the dynamical system, such as unitarity and energy conservation
in the context of quantum dynamical systems, for instance. In this article we
develop a high-order commutator free Lie group integrator for non-autonomous differential
equations evolving on quadratic Lie groups. Instead of matrix exponentials, which
are expensive to evaluate and need to be approximated by appropriate rational
functions in order to preserve the Lie group structure, the proposed method is
obtained as a composition of Cayley transforms which naturally respect the structure
of quadratic Lie groups while being computationally efficient to evaluate. Unlike
Cayley-Magnus methods the method is also free from nested matrix commutators.
author:
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
- first_name: 'Cristian '
full_name: 'Offen, Cristian '
last_name: Offen
- 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: Pranav
full_name: Singh, Pranav
last_name: Singh
citation:
ama: Wembe Moafo BE, Offen C, Maslovskaya S, Ober-Blöbaum S, Singh P. Commutator-free
Cayley methods. J Comput Appl Math. 477(15). doi:10.1016/j.cam.2025.117184
apa: Wembe Moafo, B. E., Offen, C., Maslovskaya, S., Ober-Blöbaum, S., & Singh,
P. (n.d.). Commutator-free Cayley methods. J. Comput. Appl. Math, 477(15).
https://doi.org/10.1016/j.cam.2025.117184
bibtex: '@article{Wembe Moafo_Offen_Maslovskaya_Ober-Blöbaum_Singh, title={Commutator-free
Cayley methods}, volume={477}, DOI={10.1016/j.cam.2025.117184},
number={15}, journal={J. Comput. Appl. Math}, author={Wembe Moafo, Boris Edgar
and Offen, Cristian and Maslovskaya, Sofya and Ober-Blöbaum, Sina and Singh,
Pranav} }'
chicago: Wembe Moafo, Boris Edgar, Cristian Offen, Sofya Maslovskaya, Sina Ober-Blöbaum,
and Pranav Singh. “Commutator-Free Cayley Methods.” J. Comput. Appl. Math
477, no. 15 (n.d.). https://doi.org/10.1016/j.cam.2025.117184.
ieee: 'B. E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, and P. Singh,
“Commutator-free Cayley methods,” J. Comput. Appl. Math, vol. 477, no.
15, doi: 10.1016/j.cam.2025.117184.'
mla: Wembe Moafo, Boris Edgar, et al. “Commutator-Free Cayley Methods.” J. Comput.
Appl. Math, vol. 477, no. 15, doi:10.1016/j.cam.2025.117184.
short: B.E. Wembe Moafo, C. Offen, S. Maslovskaya, S. Ober-Blöbaum, P. Singh, J.
Comput. Appl. Math 477 (n.d.).
date_created: 2025-04-10T14:42:52Z
date_updated: 2025-12-16T15:17:27Z
department:
- _id: '94'
doi: 10.1016/j.cam.2025.117184
intvolume: ' 477'
issue: '15'
language:
- iso: eng
publication: J. Comput. Appl. Math
publication_status: submitted
status: public
title: Commutator-free Cayley methods
type: journal_article
user_id: '95394'
volume: 477
year: '2025'
...
---
_id: '63187'
author:
- first_name: Arnott Jeffery Joel
full_name: Kidner, Arnott Jeffery Joel
id: '111755'
last_name: Kidner
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Weiqiang
full_name: Yu, Weiqiang
id: '117508'
last_name: Yu
citation:
ama: Kidner AJJ, Steffen E, Yu W. Edge-coloring 4- and 5-regular projective planar
graphs with no Petersen-minor. arXiv:251214285. Published online 2025.
apa: Kidner, A. J. J., Steffen, E., & Yu, W. (2025). Edge-coloring 4- and 5-regular
projective planar graphs with no Petersen-minor. In arXiv:2512.14285.
bibtex: '@article{Kidner_Steffen_Yu_2025, title={Edge-coloring 4- and 5-regular
projective planar graphs with no Petersen-minor}, journal={arXiv:2512.14285},
author={Kidner, Arnott Jeffery Joel and Steffen, Eckhard and Yu, Weiqiang}, year={2025}
}'
chicago: Kidner, Arnott Jeffery Joel, Eckhard Steffen, and Weiqiang Yu. “Edge-Coloring
4- and 5-Regular Projective Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285,
2025.
ieee: A. J. J. Kidner, E. Steffen, and W. Yu, “Edge-coloring 4- and 5-regular projective
planar graphs with no Petersen-minor,” arXiv:2512.14285. 2025.
mla: Kidner, Arnott Jeffery Joel, et al. “Edge-Coloring 4- and 5-Regular Projective
Planar Graphs with No Petersen-Minor.” ArXiv:2512.14285, 2025.
short: A.J.J. Kidner, E. Steffen, W. Yu, ArXiv:2512.14285 (2025).
date_created: 2025-12-17T14:40:23Z
date_updated: 2025-12-18T13:17:18Z
department:
- _id: '542'
external_id:
arxiv:
- '2512.14285'
language:
- iso: eng
publication: arXiv:2512.14285
status: public
title: Edge-coloring 4- and 5-regular projective planar graphs with no Petersen-minor
type: preprint
user_id: '15540'
year: '2025'
...
---
_id: '63384'
abstract:
- lang: eng
text: "Two fundamental ways to represent a group are as permutations and as matrices.
In this paper, we study linear representations of groups that intertwine with
a permutation representation. Recently, D'Alconzo and Di Scala investigated how
small the matrices in such a linear representation can be. The minimal dimension
of such a representation is the \\emph{linear dimension of the group action} and
this has applications in cryptography and cryptosystems.\r\n\r\nWe develop the
idea of linear dimension from an algebraic point of view by using the theory of
permutation modules. We give structural results about representations of minimal
dimension and investigate the implications of faithfulness, transitivity and primitivity
on the linear dimension. Furthermore, we compute the linear dimension of several
classes of finite primitive permutation groups. We also study wreath products,
allowing us to determine the linear dimension of imprimitive group actions. Finally,
we give the linear dimension of almost simple finite $2$-transitive groups, some
of which may be used for further applications in cryptography. Our results also
open up many new questions about linear representations of group actions."
author:
- first_name: Alice
full_name: Devillers, Alice
last_name: Devillers
- first_name: Michael
full_name: Giudici, Michael
last_name: Giudici
- first_name: Daniel R.
full_name: Hawtin, Daniel R.
last_name: Hawtin
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
- first_name: Luke
full_name: Morgan, Luke
last_name: Morgan
citation:
ama: Devillers A, Giudici M, Hawtin DR, Klawuhn L-AD, Morgan L. Linear dimension
of group actions. Published online 2025.
apa: Devillers, A., Giudici, M., Hawtin, D. R., Klawuhn, L.-A. D., & Morgan,
L. (2025). Linear dimension of group actions.
bibtex: '@article{Devillers_Giudici_Hawtin_Klawuhn_Morgan_2025, title={Linear dimension
of group actions}, author={Devillers, Alice and Giudici, Michael and Hawtin, Daniel
R. and Klawuhn, Lukas-André Dominik and Morgan, Luke}, year={2025} }'
chicago: Devillers, Alice, Michael Giudici, Daniel R. Hawtin, Lukas-André Dominik
Klawuhn, and Luke Morgan. “Linear Dimension of Group Actions,” 2025.
ieee: A. Devillers, M. Giudici, D. R. Hawtin, L.-A. D. Klawuhn, and L. Morgan, “Linear
dimension of group actions.” 2025.
mla: Devillers, Alice, et al. Linear Dimension of Group Actions. 2025.
short: A. Devillers, M. Giudici, D.R. Hawtin, L.-A.D. Klawuhn, L. Morgan, (2025).
date_created: 2025-12-19T11:20:46Z
date_updated: 2025-12-19T11:23:41Z
department:
- _id: '100'
external_id:
arxiv:
- '2512.16079'
language:
- iso: eng
status: public
title: Linear dimension of group actions
type: preprint
user_id: '91965'
year: '2025'
...
---
_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'
...