---
_id: '63646'
abstract:
- lang: eng
text: We study the behavior of a probability measure near the bottom of its support
in terms of time averaged quotients of its Laplace transform. We discuss how our
results are connected to both rank-one perturbation theory as well as renewal
theory. We further apply our results in order to derive criteria for the existence
and non-existence of ground states for a finite dimensional quantum system coupled
to a bosonic field.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Steffen
full_name: Polzer, Steffen
last_name: Polzer
citation:
ama: Hinrichs B, Polzer S. Wiener-Type Theorems for the Laplace Transform. With
Applications to Ground State Problems. arXiv:251102867. Published online
2025.
apa: Hinrichs, B., & Polzer, S. (2025). Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems. In arXiv:2511.02867.
bibtex: '@article{Hinrichs_Polzer_2025, title={Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems}, journal={arXiv:2511.02867},
author={Hinrichs, Benjamin and Polzer, Steffen}, year={2025} }'
chicago: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems.” ArXiv:2511.02867,
2025.
ieee: B. Hinrichs and S. Polzer, “Wiener-Type Theorems for the Laplace Transform.
With Applications to Ground State Problems,” arXiv:2511.02867. 2025.
mla: Hinrichs, Benjamin, and Steffen Polzer. “Wiener-Type Theorems for the Laplace
Transform. With Applications to Ground State Problems.” ArXiv:2511.02867,
2025.
short: B. Hinrichs, S. Polzer, ArXiv:2511.02867 (2025).
date_created: 2026-01-16T08:59:45Z
date_updated: 2026-01-16T09:01:02Z
department:
- _id: '799'
external_id:
arxiv:
- '2511.02867'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2511.02867
status: public
title: Wiener-Type Theorems for the Laplace Transform. With Applications to Ground
State Problems
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63647'
abstract:
- lang: eng
text: We study the convergence rate of translation-invariant discrete-time quantum
dynamics on a one-dimensional lattice. We prove that the cumulative distributions
function of the ballistically scaled position $\mathbb X(n)/{n}$ after $n$ steps
converges at a rate of $n^{-1/3}$ in the Lévy metric as $n\to\infty$. In the special
case of step-coin quantum walks with two-dimensional coin space, we recover the
same convergence rate for the supremum distance and prove optimality.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Pascal
full_name: Mittenbühler, Pascal
last_name: Mittenbühler
citation:
ama: Hinrichs B, Mittenbühler P. On the Optimal Rate of Convergence for Translation-Invariant
1D Quantum Walks. arXiv:251113409. Published online 2025.
apa: Hinrichs, B., & Mittenbühler, P. (2025). On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks. In arXiv:2511.13409.
bibtex: '@article{Hinrichs_Mittenbühler_2025, title={On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks}, journal={arXiv:2511.13409}, author={Hinrichs,
Benjamin and Mittenbühler, Pascal}, year={2025} }'
chicago: Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks.” ArXiv:2511.13409, 2025.
ieee: B. Hinrichs and P. Mittenbühler, “On the Optimal Rate of Convergence for Translation-Invariant
1D Quantum Walks,” arXiv:2511.13409. 2025.
mla: Hinrichs, Benjamin, and Pascal Mittenbühler. “On the Optimal Rate of Convergence
for Translation-Invariant 1D Quantum Walks.” ArXiv:2511.13409, 2025.
short: B. Hinrichs, P. Mittenbühler, ArXiv:2511.13409 (2025).
date_created: 2026-01-16T08:59:54Z
date_updated: 2026-01-16T09:00:31Z
department:
- _id: '799'
external_id:
arxiv:
- '2511.13409'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2511.13409
status: public
title: On the Optimal Rate of Convergence for Translation-Invariant 1D Quantum Walks
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63649'
article_type: original
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Alexander
full_name: Schmeding, Alexander
last_name: Schmeding
- first_name: Ali
full_name: Suri, Ali
id: '89268'
last_name: Suri
orcid: https://orcid.org/0000-0002-9682-9037
citation:
ama: Glöckner H, Schmeding A, Suri A. Manifolds of continuous BV-functions and vector
measure regularity of Banach–Lie groups. Geometric Mechanics. 2025;01(04):383-437.
doi:10.1142/s2972458925500029
apa: Glöckner, H., Schmeding, A., & Suri, A. (2025). Manifolds of continuous
BV-functions and vector measure regularity of Banach–Lie groups. Geometric
Mechanics, 01(04), 383–437. https://doi.org/10.1142/s2972458925500029
bibtex: '@article{Glöckner_Schmeding_Suri_2025, title={Manifolds of continuous BV-functions
and vector measure regularity of Banach–Lie groups}, volume={01}, DOI={10.1142/s2972458925500029},
number={04}, journal={Geometric Mechanics}, publisher={World Scientific Pub Co
Pte Ltd}, author={Glöckner, Helge and Schmeding, Alexander and Suri, Ali}, year={2025},
pages={383–437} }'
chicago: 'Glöckner, Helge, Alexander Schmeding, and Ali Suri. “Manifolds of Continuous
BV-Functions and Vector Measure Regularity of Banach–Lie Groups.” Geometric
Mechanics 01, no. 04 (2025): 383–437. https://doi.org/10.1142/s2972458925500029.'
ieee: 'H. Glöckner, A. Schmeding, and A. Suri, “Manifolds of continuous BV-functions
and vector measure regularity of Banach–Lie groups,” Geometric Mechanics,
vol. 01, no. 04, pp. 383–437, 2025, doi: 10.1142/s2972458925500029.'
mla: Glöckner, Helge, et al. “Manifolds of Continuous BV-Functions and Vector Measure
Regularity of Banach–Lie Groups.” Geometric Mechanics, vol. 01, no. 04,
World Scientific Pub Co Pte Ltd, 2025, pp. 383–437, doi:10.1142/s2972458925500029.
short: H. Glöckner, A. Schmeding, A. Suri, Geometric Mechanics 01 (2025) 383–437.
date_created: 2026-01-16T10:22:21Z
date_updated: 2026-01-16T10:25:34Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1142/s2972458925500029
intvolume: ' 1'
issue: '04'
language:
- iso: eng
page: 383-437
publication: Geometric Mechanics
publication_identifier:
issn:
- 2972-4589
- 2972-4597
publication_status: published
publisher: World Scientific Pub Co Pte Ltd
quality_controlled: '1'
status: public
title: Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie
groups
type: journal_article
user_id: '178'
volume: '01'
year: '2025'
...
---
_id: '63697'
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. Die Bedeutung des Mathematikschulbuchs in Zeiten
der Ressourcenvielfalt. In: Schick L, Platz M, Lambert A, eds. Beiträge Zum
Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik Der
Mathematik. WTM-Verlag; 2025. doi:10.17877/DE290R-26373'
apa: Stallmeister, L., & Rezat, S. (2025). Die Bedeutung des Mathematikschulbuchs
in Zeiten der Ressourcenvielfalt. In L. Schick, M. Platz, & A. Lambert (Eds.),
Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft für
Didaktik der Mathematik. WTM-Verlag. https://doi.org/10.17877/DE290R-26373
bibtex: '@inproceedings{Stallmeister_Rezat_2025, title={Die Bedeutung des Mathematikschulbuchs
in Zeiten der Ressourcenvielfalt}, DOI={10.17877/DE290R-26373},
booktitle={Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft
für Didaktik der Mathematik}, publisher={WTM-Verlag}, author={Stallmeister, Lea
and Rezat, Sebastian}, editor={Schick, Lisa and Platz, Melanie and Lambert, Anselm},
year={2025} }'
chicago: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs
in Zeiten Der Ressourcenvielfalt.” In Beiträge Zum Mathematikunterricht 2025.
58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa
Schick, Melanie Platz, and Anselm Lambert. WTM-Verlag, 2025. https://doi.org/10.17877/DE290R-26373.
ieee: 'L. Stallmeister and S. Rezat, “Die Bedeutung des Mathematikschulbuchs in
Zeiten der Ressourcenvielfalt,” in Beiträge zum Mathematikunterricht 2025.
58. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Universität
des Saarlandes, Saarbrücken, 2025, doi: 10.17877/DE290R-26373.'
mla: Stallmeister, Lea, and Sebastian Rezat. “Die Bedeutung Des Mathematikschulbuchs
in Zeiten Der Ressourcenvielfalt.” Beiträge Zum Mathematikunterricht 2025.
58. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by Lisa
Schick et al., WTM-Verlag, 2025, doi:10.17877/DE290R-26373.
short: 'L. Stallmeister, S. Rezat, in: L. Schick, M. Platz, A. Lambert (Eds.), Beiträge
Zum Mathematikunterricht 2025. 58. Jahrestagung Der Gesellschaft Für Didaktik
Der Mathematik, WTM-Verlag, 2025.'
conference:
location: Universität des Saarlandes, Saarbrücken
name: 58. Jahrestagung der Gesellschaft für Didaktik der Mathematik
date_created: 2026-01-22T08:30:16Z
date_updated: 2026-01-22T08:36:01Z
department:
- _id: '98'
doi: 10.17877/DE290R-26373
editor:
- first_name: Lisa
full_name: Schick, Lisa
last_name: Schick
- first_name: Melanie
full_name: Platz, Melanie
last_name: Platz
- first_name: Anselm
full_name: Lambert, Anselm
last_name: Lambert
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://dx.doi.org/10.17877/DE290R-26373
oa: '1'
publication: Beiträge zum Mathematikunterricht 2025. 58. Jahrestagung der Gesellschaft
für Didaktik der Mathematik
publisher: WTM-Verlag
status: public
title: Die Bedeutung des Mathematikschulbuchs in Zeiten der Ressourcenvielfalt
type: conference
user_id: '63369'
year: '2025'
...
---
_id: '62062'
author:
- first_name: Inga
full_name: Neufeld, Inga
id: '61635'
last_name: Neufeld
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
citation:
ama: 'Neufeld I, Häsel-Weide U. Learning support practices in the fostering of basic
arithmetic skills. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik
M, Free University of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14).
; 2025.'
apa: Neufeld, I., & Häsel-Weide, U. (2025). Learning support practices in the
fostering of basic arithmetic skills. In M. Bosch, G. Bolondi, S. Carreira, C.
Spagnolo, M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.),
Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14).
bibtex: '@inproceedings{Neufeld_Häsel-Weide_2025, title={Learning support practices
in the fostering of basic arithmetic skills}, booktitle={Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)},
author={Neufeld, Inga and Häsel-Weide, Uta}, editor={Bosch, M. and Bolondi, G.
and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of Bozen-Bolzano
an ERME}, year={2025} }'
chicago: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the
Fostering of Basic Arithmetic Skills.” In Proceedings of the Fourteenth Congress
of the European Society for Research in Mathematics Education (CERME14), edited
by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University
of Bozen-Bolzano an ERME, 2025.
ieee: I. Neufeld and U. Häsel-Weide, “Learning support practices in the fostering
of basic arithmetic skills,” in Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), Bozen, Italy,
2025.
mla: Neufeld, Inga, and Uta Häsel-Weide. “Learning Support Practices in the Fostering
of Basic Arithmetic Skills.” Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), edited by
M. Bosch et al., 2025.
short: 'I. Neufeld, U. Häsel-Weide, in: M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo,
M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings of
the Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14), 2025.'
conference:
location: Bozen, Italy
name: Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14)
corporate_editor:
- Free University of Bozen-Bolzano an ERME
date_created: 2025-11-04T09:00:29Z
date_updated: 2026-01-22T10:20:49Z
department:
- _id: '543'
editor:
- first_name: M.
full_name: Bosch, M.
last_name: Bosch
- first_name: G.
full_name: Bolondi, G.
last_name: Bolondi
- first_name: S.
full_name: Carreira, S.
last_name: Carreira
- first_name: C.
full_name: Spagnolo, C.
last_name: Spagnolo
- first_name: M.
full_name: Gaidoschik, M.
last_name: Gaidoschik
language:
- iso: eng
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
related_material:
link:
- relation: confirmation
url: 'https://hal.science/hal-05293284 '
status: public
title: Learning support practices in the fostering of basic arithmetic skills
type: conference
user_id: '44184'
year: '2025'
...
---
_id: '62063'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: Marcus
full_name: Nührenbörger, Marcus
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Nührenbörger M. Practices in math discourses in inclusive primary
school. In: Bosch M, Bolondi G, Carreira S, Spagnolo C, Gaidoschik M, Free University
of Bozen-Bolzano an ERME, eds. Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14). ; 2025.'
apa: Häsel-Weide, U., & Nührenbörger, M. (2025). Practices in math discourses
in inclusive primary school. In M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo,
M. Gaidoschik, & Free University of Bozen-Bolzano an ERME (Eds.), Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14).
bibtex: '@inproceedings{Häsel-Weide_Nührenbörger_2025, title={Practices in math
discourses in inclusive primary school}, booktitle={Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)},
author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Bosch, M. and Bolondi,
G. and Carreira, S. and Spagnolo, C. and Gaidoschik, M. and Free University of
Bozen-Bolzano an ERME}, year={2025} }'
chicago: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses
in Inclusive Primary School.” In Proceedings of the Fourteenth Congress of
the European Society for Research in Mathematics Education (CERME14), edited
by M. Bosch, G. Bolondi, S. Carreira, C. Spagnolo, M. Gaidoschik, and Free University
of Bozen-Bolzano an ERME, 2025.
ieee: U. Häsel-Weide and M. Nührenbörger, “Practices in math discourses in inclusive
primary school,” in Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14), Bozen, Italy, 2025.
mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “Practices in Math Discourses in
Inclusive Primary School.” Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14), edited by M. Bosch
et al., 2025.
short: 'U. Häsel-Weide, M. Nührenbörger, in: M. Bosch, G. Bolondi, S. Carreira,
C. Spagnolo, M. Gaidoschik, Free University of Bozen-Bolzano an ERME (Eds.), Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14), 2025.'
conference:
location: Bozen, Italy
name: Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14)
corporate_editor:
- Free University of Bozen-Bolzano an ERME
date_created: 2025-11-04T09:03:20Z
date_updated: 2026-01-22T10:20:55Z
department:
- _id: '543'
editor:
- first_name: M.
full_name: Bosch, M.
last_name: Bosch
- first_name: G.
full_name: Bolondi, G.
last_name: Bolondi
- first_name: S.
full_name: Carreira, S.
last_name: Carreira
- first_name: C.
full_name: Spagnolo, C.
last_name: Spagnolo
- first_name: M.
full_name: Gaidoschik, M.
last_name: Gaidoschik
language:
- iso: eng
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
related_material:
link:
- relation: confirmation
url: 'https://hal.science/hal-05285878 '
status: public
title: Practices in math discourses in inclusive primary school
type: conference
user_id: '44184'
year: '2025'
...
---
_id: '63730'
author:
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
- first_name: Hedwig
full_name: Gasteiger, Hedwig
last_name: Gasteiger
- first_name: Bernd
full_name: Lastering, Bernd
last_name: Lastering
- first_name: Theresa
full_name: Schopferer, Theresa
last_name: Schopferer
- first_name: Detlev
full_name: Zech, Detlev
last_name: Zech
citation:
ama: 'Bruns J, Gasteiger H, Lastering B, Schopferer T, Zech D. Frühe mathematische
Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung stärken.
In: Pudenz S, Schoell O, Cleef M, eds. 25 Jahre Berufskolleg - Wegspuren Und
Zukunftspfade. wbv; 2025:175-188.'
apa: Bruns, J., Gasteiger, H., Lastering, B., Schopferer, T., & Zech, D. (2025).
Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken. In S. Pudenz, O. Schoell, & M. Cleef (Eds.), 25 Jahre Berufskolleg
- Wegspuren und Zukunftspfade (pp. 175–188). wbv.
bibtex: '@inbook{Bruns_Gasteiger_Lastering_Schopferer_Zech_2025, place={Bielefeld},
title={Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und
Erzieher-Ausbildung stärken}, booktitle={25 Jahre Berufskolleg - Wegspuren und
Zukunftspfade}, publisher={wbv}, author={Bruns, Julia and Gasteiger, Hedwig and
Lastering, Bernd and Schopferer, Theresa and Zech, Detlev}, editor={Pudenz, Stephanie
and Schoell, Oliver and Cleef, Maria}, year={2025}, pages={175–188} }'
chicago: 'Bruns, Julia, Hedwig Gasteiger, Bernd Lastering, Theresa Schopferer, and
Detlev Zech. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der Erzieherinnen-
Und Erzieher-Ausbildung Stärken.” In 25 Jahre Berufskolleg - Wegspuren Und
Zukunftspfade, edited by Stephanie Pudenz, Oliver Schoell, and Maria Cleef,
175–88. Bielefeld: wbv, 2025.'
ieee: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, and D. Zech, “Frühe
mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken,” in 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade, S. Pudenz,
O. Schoell, and M. Cleef, Eds. Bielefeld: wbv, 2025, pp. 175–188.'
mla: Bruns, Julia, et al. “Frühe Mathematische Bildung Als Ausbildungsinhalt Der
Erzieherinnen- Und Erzieher-Ausbildung Stärken.” 25 Jahre Berufskolleg - Wegspuren
Und Zukunftspfade, edited by Stephanie Pudenz et al., wbv, 2025, pp. 175–88.
short: 'J. Bruns, H. Gasteiger, B. Lastering, T. Schopferer, D. Zech, in: S. Pudenz,
O. Schoell, M. Cleef (Eds.), 25 Jahre Berufskolleg - Wegspuren Und Zukunftspfade,
wbv, Bielefeld, 2025, pp. 175–188.'
date_created: 2026-01-26T11:23:48Z
date_updated: 2026-01-26T11:23:55Z
department:
- _id: '611'
editor:
- first_name: Stephanie
full_name: Pudenz, Stephanie
last_name: Pudenz
- first_name: Oliver
full_name: Schoell, Oliver
last_name: Schoell
- first_name: Maria
full_name: Cleef, Maria
last_name: Cleef
language:
- iso: eng
page: 175-188
place: Bielefeld
publication: 25 Jahre Berufskolleg - Wegspuren und Zukunftspfade
publisher: wbv
status: public
title: Frühe mathematische Bildung als Ausbildungsinhalt der Erzieherinnen- und Erzieher-Ausbildung
stärken
type: book_chapter
user_id: '72183'
year: '2025'
...
---
_id: '55459'
article_type: original
author:
- first_name: Nils
full_name: Bullerjahn, Nils
id: '103797'
last_name: Bullerjahn
orcid: https://orcid.org/0009-0003-8460-1574
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Bullerjahn N, Kovács B. Error estimates for full discretization of Cahn--Hilliard
equation with dynamic boundary conditions. IMA Journal of Numerical Analysis.
doi:10.1093/imanum/draf009
apa: Bullerjahn, N., & Kovács, B. (n.d.). Error estimates for full discretization
of Cahn--Hilliard equation with dynamic boundary conditions. IMA Journal of
Numerical Analysis. https://doi.org/10.1093/imanum/draf009
bibtex: '@article{Bullerjahn_Kovács, title={Error estimates for full discretization
of Cahn--Hilliard equation with dynamic boundary conditions}, DOI={10.1093/imanum/draf009},
journal={IMA Journal of Numerical Analysis}, author={Bullerjahn, Nils and Kovács,
Balázs} }'
chicago: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization
of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of
Numerical Analysis, n.d. https://doi.org/10.1093/imanum/draf009.
ieee: 'N. Bullerjahn and B. Kovács, “Error estimates for full discretization of
Cahn--Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical
Analysis, doi: 10.1093/imanum/draf009.'
mla: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for Full Discretization
of Cahn--Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of
Numerical Analysis, doi:10.1093/imanum/draf009.
short: N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.).
date_created: 2024-07-31T09:03:45Z
date_updated: 2026-02-18T14:46:18Z
department:
- _id: '841'
doi: 10.1093/imanum/draf009
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
publication_status: accepted
status: public
title: Error estimates for full discretization of Cahn--Hilliard equation with dynamic
boundary conditions
type: journal_article
user_id: '100441'
year: '2025'
...
---
_id: '53141'
author:
- first_name: Dominik
full_name: Edelmann, Dominik
last_name: Edelmann
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Christian
full_name: Lubich, Christian
last_name: Lubich
citation:
ama: Edelmann D, Kovács B, Lubich C. Numerical analysis of an evolving bulk--surface
model of tumour growth. IMA Journal of Numerical Analysis. 2025;45(5):2581--2627.
doi:10.1093/imanum/drae077
apa: Edelmann, D., Kovács, B., & Lubich, C. (2025). Numerical analysis of an
evolving bulk--surface model of tumour growth. IMA Journal of Numerical Analysis,
45(5), 2581--2627. https://doi.org/10.1093/imanum/drae077
bibtex: '@article{Edelmann_Kovács_Lubich_2025, title={Numerical analysis of an evolving
bulk--surface model of tumour growth}, volume={45}, DOI={10.1093/imanum/drae077},
number={5}, journal={IMA Journal of Numerical Analysis}, author={Edelmann, Dominik
and Kovács, Balázs and Lubich, Christian}, year={2025}, pages={2581--2627} }'
chicago: 'Edelmann, Dominik, Balázs Kovács, and Christian Lubich. “Numerical Analysis
of an Evolving Bulk--Surface Model of Tumour Growth.” IMA Journal of Numerical
Analysis 45, no. 5 (2025): 2581--2627. https://doi.org/10.1093/imanum/drae077.'
ieee: 'D. Edelmann, B. Kovács, and C. Lubich, “Numerical analysis of an evolving
bulk--surface model of tumour growth,” IMA Journal of Numerical Analysis,
vol. 45, no. 5, pp. 2581--2627, 2025, doi: 10.1093/imanum/drae077.'
mla: Edelmann, Dominik, et al. “Numerical Analysis of an Evolving Bulk--Surface
Model of Tumour Growth.” IMA Journal of Numerical Analysis, vol. 45, no.
5, 2025, pp. 2581--2627, doi:10.1093/imanum/drae077.
short: D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025)
2581--2627.
date_created: 2024-04-03T09:11:36Z
date_updated: 2026-02-18T14:44:54Z
department:
- _id: '841'
doi: 10.1093/imanum/drae077
intvolume: ' 45'
issue: '5'
language:
- iso: eng
page: 2581--2627
publication: IMA Journal of Numerical Analysis
status: public
title: Numerical analysis of an evolving bulk--surface model of tumour growth
type: journal_article
user_id: '100441'
volume: 45
year: '2025'
...
---
_id: '55781'
abstract:
- lang: eng
text: "In this paper, we prove that spatially semi-discrete evolving finite element\r\nmethod
for parabolic equations on a given evolving hypersurface of arbitrary\r\ndimensions
preserves the maximal $L^p$-regularity at the discrete level. We\r\nfirst establish
the results on a stationary surface and then extend them, via a\r\nperturbation
argument, to the case where the underlying surface is evolving\r\nunder a prescribed
velocity field. The proof combines techniques in evolving\r\nfinite element method,
properties of Green's functions on (discretised) closed\r\nsurfaces, and local
energy estimates for finite element methods"
author:
- first_name: Genming
full_name: Bai, Genming
last_name: Bai
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
- first_name: Buyang
full_name: Li, Buyang
last_name: Li
citation:
ama: Bai G, Kovács B, Li B. Maximal regularity of evolving FEMs for parabolic equations
on an evolving surface. IMA Journal of Numerical Analysis. Published online
2025. doi:10.1093/imanum/draf082.
apa: Bai, G., Kovács, B., & Li, B. (2025). Maximal regularity of evolving FEMs
for parabolic equations on an evolving surface. IMA Journal of Numerical Analysis.
https://doi.org/10.1093/imanum/draf082.
bibtex: '@article{Bai_Kovács_Li_2025, title={Maximal regularity of evolving FEMs
for parabolic equations on an evolving surface}, DOI={10.1093/imanum/draf082.},
journal={IMA Journal of Numerical Analysis}, author={Bai, Genming and Kovács,
Balázs and Li, Buyang}, year={2025} }'
chicago: Bai, Genming, Balázs Kovács, and Buyang Li. “Maximal Regularity of Evolving
FEMs for Parabolic Equations on an Evolving Surface.” IMA Journal of Numerical
Analysis, 2025. https://doi.org/10.1093/imanum/draf082.
ieee: 'G. Bai, B. Kovács, and B. Li, “Maximal regularity of evolving FEMs for parabolic
equations on an evolving surface,” IMA Journal of Numerical Analysis,
2025, doi: 10.1093/imanum/draf082.'
mla: Bai, Genming, et al. “Maximal Regularity of Evolving FEMs for Parabolic Equations
on an Evolving Surface.” IMA Journal of Numerical Analysis, 2025, doi:10.1093/imanum/draf082.
short: G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).
date_created: 2024-08-27T07:37:39Z
date_updated: 2026-02-18T14:47:34Z
department:
- _id: '841'
doi: 10.1093/imanum/draf082.
external_id:
arxiv:
- '2408.14096'
language:
- iso: eng
publication: IMA Journal of Numerical Analysis
status: public
title: Maximal regularity of evolving FEMs for parabolic equations on an evolving
surface
type: journal_article
user_id: '100441'
year: '2025'
...
---
_id: '56717'
abstract:
- lang: eng
text: "We establish a multiresolution analysis on the space $\\text{Herm}(n)$ of\r\n$n\\times
n$ complex Hermitian matrices which is adapted to invariance under\r\nconjugation
by the unitary group $U(n).$ The orbits under this action are\r\nparametrized
by the possible ordered spectra of Hermitian matrices, which\r\nconstitute a closed
Weyl chamber of type $A_{n-1}$ in $\\mathbb R^n.$ The space\r\n$L^2(\\text{Herm}(n))^{U(n)}$
of radial, i.e. $U(n)$-invariant $L^2$-functions\r\non $\\text{Herm}(n)$ is naturally
identified with a certain weighted $L^2$-space\r\non this chamber.\r\n The scale
spaces of our multiresolution analysis are obtained by usual dyadic\r\ndilations
as well as generalized translations of a scaling function, where the\r\ngeneralized
translation is a hypergroup translation which respects the radial\r\ngeometry.
We provide a concise criterion to characterize orthonormal wavelet\r\nbases and
show that such bases always exist. They provide natural orthonormal\r\nbases of
the space $L^2(\\text{Herm}(n))^{U(n)}.$\r\n Furthermore, we show how to obtain
radial scaling functions from classical\r\nscaling functions on $\\mathbb R^{n}$.
Finally, generalizations related to the\r\nCartan decompositions for general compact
Lie groups are indicated."
article_type: original
author:
- first_name: Lukas
full_name: Langen, Lukas
id: '73664'
last_name: Langen
- first_name: Margit
full_name: Rösler, Margit
id: '37390'
last_name: Rösler
citation:
ama: Langen L, Rösler M. Multiresolution analysis on spectra of hermitian matrices.
Indagationes Mathematicae. 2025;36(6):1671-1694.
apa: Langen, L., & Rösler, M. (2025). Multiresolution analysis on spectra of
hermitian matrices. Indagationes Mathematicae, 36(6), 1671–1694.
bibtex: '@article{Langen_Rösler_2025, title={Multiresolution analysis on spectra
of hermitian matrices}, volume={36}, number={6}, journal={Indagationes Mathematicae},
publisher={Elsevier}, author={Langen, Lukas and Rösler, Margit}, year={2025},
pages={1671–1694} }'
chicago: 'Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra
of Hermitian Matrices.” Indagationes Mathematicae 36, no. 6 (2025): 1671–94.'
ieee: L. Langen and M. Rösler, “Multiresolution analysis on spectra of hermitian
matrices,” Indagationes Mathematicae, vol. 36, no. 6, pp. 1671–1694, 2025.
mla: Langen, Lukas, and Margit Rösler. “Multiresolution Analysis on Spectra of Hermitian
Matrices.” Indagationes Mathematicae, vol. 36, no. 6, Elsevier, 2025, pp.
1671–94.
short: L. Langen, M. Rösler, Indagationes Mathematicae 36 (2025) 1671–1694.
date_created: 2024-10-22T09:31:19Z
date_updated: 2026-02-19T14:16:43Z
ddc:
- '510'
department:
- _id: '555'
external_id:
arxiv:
- '2410.10364'
file:
- access_level: closed
content_type: application/pdf
creator: llangen
date_created: 2026-02-19T14:14:39Z
date_updated: 2026-02-19T14:14:39Z
file_id: '64288'
file_name: MSA_hermitsch_published.pdf
file_size: 443262
relation: main_file
success: 1
file_date_updated: 2026-02-19T14:14:39Z
has_accepted_license: '1'
intvolume: ' 36'
issue: '6'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1016/j.indag.2025.03.009
page: 1671-1694
project:
- _id: '357'
name: TRR 358 - Ganzzahlige Strukturen in Geometrie und Darstellungstheorie
publication: Indagationes Mathematicae
publication_status: published
publisher: Elsevier
related_material:
link:
- relation: research_paper
url: https://arxiv.org/abs/2410.10364
status: public
title: Multiresolution analysis on spectra of hermitian matrices
type: journal_article
user_id: '73664'
volume: 36
year: '2025'
...
---
_id: '64289'
abstract:
- lang: eng
text: "Abstract\r\n Motivated by asymptotic
symmetry groups in general relativity, we consider projective unitary representations
\r\n \r\n $$\\overline{\\rho
}$$\r\n \r\n
\ \r\n ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ of the Lie group \r\n
\ \r\n $${{\\,\\textrm{Diff}\\,}}_c(M)$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of compactly
supported diffeomorphisms of a smooth manifold M that
satisfy a so-called generalized positive energy condition. In particular, this
captures representations that are in a suitable sense compatible with a KMS state
on the von Neumann algebra generated by \r\n \r\n
\ $$\\overline{\\rho }$$\r\n \r\n \r\n
\ ρ\r\n ¯\r\n
\ \r\n \r\n \r\n
\ . We show that if M
is connected and \r\n \r\n
\ $$\\dim (M) > 1$$\r\n \r\n \r\n
\ dim\r\n (\r\n
\ M\r\n )\r\n
\ >\r\n 1\r\n
\ \r\n \r\n \r\n
\ , then any such representation is necessarily
trivial on the identity component \r\n \r\n
\ $${{\\,\\textrm{Diff}\\,}}_c(M)_0$$\r\n
\ \r\n
\ \r\n \r\n \r\n
\ \r\n Diff\r\n
\ \r\n \r\n
\ c\r\n \r\n
\ \r\n \r\n (\r\n
\ M\r\n )\r\n
\ \r\n 0\r\n
\ \r\n \r\n \r\n
\ \r\n . As an
intermediate step towards this result, we determine the continuous second Lie
algebra cohomology \r\n \r\n
\ $$H^2_\\textrm{ct}(\\mathcal {X}_c(M), \\mathbb
{R})$$\r\n \r\n
\ \r\n \r\n H\r\n
\ ct\r\n 2\r\n
\ \r\n \r\n (\r\n
\ \r\n X\r\n
\ c\r\n \r\n
\ \r\n (\r\n
\ M\r\n )\r\n
\ \r\n ,\r\n
\ R\r\n )\r\n
\ \r\n \r\n \r\n
\ \r\n of the
Lie algebra of compactly supported vector fields. This is subtly different from
Gelfand–Fuks cohomology in view of the compact support condition."
article_number: '45'
author:
- first_name: Bas
full_name: Janssens, Bas
last_name: Janssens
- first_name: Milan
full_name: Niestijl, Milan
last_name: Niestijl
citation:
ama: Janssens B, Niestijl M. Generalized Positive Energy Representations of the
Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics. 2025;406(2). doi:10.1007/s00220-024-05226-w
apa: Janssens, B., & Niestijl, M. (2025). Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms. Communications in Mathematical
Physics, 406(2), Article 45. https://doi.org/10.1007/s00220-024-05226-w
bibtex: '@article{Janssens_Niestijl_2025, title={Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms}, volume={406}, DOI={10.1007/s00220-024-05226-w},
number={245}, journal={Communications in Mathematical Physics}, publisher={Springer
Science and Business Media LLC}, author={Janssens, Bas and Niestijl, Milan}, year={2025}
}'
chicago: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics 406, no. 2 (2025). https://doi.org/10.1007/s00220-024-05226-w.
ieee: 'B. Janssens and M. Niestijl, “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms,” Communications in Mathematical
Physics, vol. 406, no. 2, Art. no. 45, 2025, doi: 10.1007/s00220-024-05226-w.'
mla: Janssens, Bas, and Milan Niestijl. “Generalized Positive Energy Representations
of the Group of Compactly Supported Diffeomorphisms.” Communications in Mathematical
Physics, vol. 406, no. 2, 45, Springer Science and Business Media LLC, 2025,
doi:10.1007/s00220-024-05226-w.
short: B. Janssens, M. Niestijl, Communications in Mathematical Physics 406 (2025).
date_created: 2026-02-20T09:33:11Z
date_updated: 2026-02-20T09:41:41Z
department:
- _id: '93'
doi: 10.1007/s00220-024-05226-w
intvolume: ' 406'
issue: '2'
language:
- iso: eng
publication: Communications in Mathematical Physics
publication_identifier:
issn:
- 0010-3616
- 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Generalized Positive Energy Representations of the Group of Compactly Supported
Diffeomorphisms
type: journal_article
user_id: '104095'
volume: 406
year: '2025'
...
---
_id: '50299'
abstract:
- lang: eng
text: "A finite classical polar space of rank $n$ consists of the totally isotropic\r\nsubspaces
of a finite vector space over $\\mathbb{F}_q$ equipped with a\r\nnondegenerate
form such that $n$ is the maximal dimension of such a subspace. A\r\n$t$-$(n,k,\\lambda)$
design in a finite classical polar space of rank $n$ is a\r\ncollection $Y$ of
totally isotropic $k$-spaces such that each totally isotropic\r\n$t$-space is
contained in exactly $\\lambda$ members of $Y$. Nontrivial examples\r\nare currently
only known for $t\\leq 2$. We show that $t$-$(n,k,\\lambda)$\r\ndesigns in polar
spaces exist for all $t$ and $q$ provided that\r\n$k>\\frac{21}{2}t$ and $n$ is
sufficiently large enough. The proof is based on a\r\nprobabilistic method by
Kuperberg, Lovett, and Peled, and it is thus\r\nnonconstructive."
author:
- first_name: Charlene
full_name: Weiß, Charlene
id: '70420'
last_name: Weiß
citation:
ama: Weiß C. Nontrivial $t$-designs in polar spaces exist for all $t$. Des Codes
Cryptogr. 2025;93:971-981. doi:10.1007/s10623-024-01471-1
apa: Weiß, C. (2025). Nontrivial $t$-designs in polar spaces exist for all $t$.
Des. Codes Cryptogr., 93, 971–981. https://doi.org/10.1007/s10623-024-01471-1
bibtex: '@article{Weiß_2025, title={Nontrivial $t$-designs in polar spaces exist
for all $t$}, volume={93}, DOI={10.1007/s10623-024-01471-1},
journal={Des. Codes Cryptogr.}, author={Weiß, Charlene}, year={2025}, pages={971–981}
}'
chicago: 'Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All
$t$.” Des. Codes Cryptogr. 93 (2025): 971–81. https://doi.org/10.1007/s10623-024-01471-1.'
ieee: 'C. Weiß, “Nontrivial $t$-designs in polar spaces exist for all $t$,” Des.
Codes Cryptogr., vol. 93, pp. 971–981, 2025, doi: 10.1007/s10623-024-01471-1.'
mla: Weiß, Charlene. “Nontrivial $t$-Designs in Polar Spaces Exist for All $t$.”
Des. Codes Cryptogr., vol. 93, 2025, pp. 971–81, doi:10.1007/s10623-024-01471-1.
short: C. Weiß, Des. Codes Cryptogr. 93 (2025) 971–981.
date_created: 2024-01-08T14:39:54Z
date_updated: 2026-02-25T13:51:50Z
department:
- _id: '100'
doi: 10.1007/s10623-024-01471-1
intvolume: ' 93'
language:
- iso: eng
page: 971 - 981
publication: Des. Codes Cryptogr.
publication_status: published
status: public
title: Nontrivial $t$-designs in polar spaces exist for all $t$
type: journal_article
user_id: '70420'
volume: 93
year: '2025'
...
---
_id: '59258'
article_number: '44'
author:
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Winkler M. Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization.
2025;91(2). doi:10.1007/s00245-025-10243-9
apa: Winkler, M. (2025). Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters. Applied Mathematics & Optimization,
91(2), Article 44. https://doi.org/10.1007/s00245-025-10243-9
bibtex: '@article{Winkler_2025, title={Rough Data in an Evolution System Generalizing
1D Thermoviscoelasticity with Temperature-Dependent Parameters}, volume={91},
DOI={10.1007/s00245-025-10243-9},
number={244}, journal={Applied Mathematics & Optimization}, publisher={Springer
Science and Business Media LLC}, author={Winkler, Michael}, year={2025} }'
chicago: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization
91, no. 2 (2025). https://doi.org/10.1007/s00245-025-10243-9.
ieee: 'M. Winkler, “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters,” Applied Mathematics & Optimization,
vol. 91, no. 2, Art. no. 44, 2025, doi: 10.1007/s00245-025-10243-9.'
mla: Winkler, Michael. “Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity
with Temperature-Dependent Parameters.” Applied Mathematics & Optimization,
vol. 91, no. 2, 44, Springer Science and Business Media LLC, 2025, doi:10.1007/s00245-025-10243-9.
short: M. Winkler, Applied Mathematics & Optimization 91 (2025).
date_created: 2025-04-02T11:23:25Z
date_updated: 2026-02-26T15:59:30Z
department:
- _id: '90'
doi: 10.1007/s00245-025-10243-9
intvolume: ' 91'
issue: '2'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Applied Mathematics & Optimization
publication_identifier:
issn:
- 0095-4616
- 1432-0606
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Rough Data in an Evolution System Generalizing 1D Thermoviscoelasticity with
Temperature-Dependent Parameters
type: journal_article
user_id: '11829'
volume: 91
year: '2025'
...
---
_id: '64736'
citation:
ama: Frahm J, Glöckner H, Hilgert J, Olafsson G, eds. Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday.
Vol 35.; 2025.
apa: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday. (2025). In J. Frahm, H. Glöckner, J. Hilgert, &
G. Olafsson (Eds.), J. Lie Theory (Vol. 35, Issue 4).
bibtex: '@book{Frahm_Glöckner_Hilgert_Olafsson_2025, title={Special issue of Journal
of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his 60th birthday},
volume={35}, number={4}, journal={J. Lie Theory}, year={2025} }'
chicago: Frahm, Jan, Helge Glöckner, Joachim Hilgert, and Gestur Olafsson, eds.
Special Issue of Journal of Lie Theory Dedicated to Karl-Hermann Neeb on the
Occasion of His 60th Birthday. J. Lie Theory. Vol. 35, 2025.
ieee: J. Frahm, H. Glöckner, J. Hilgert, and G. Olafsson, Eds., Special issue
of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the occasion of his
60th birthday, vol. 35, no. 4. 2025.
mla: Frahm, Jan, et al., editors. “Special Issue of Journal of Lie Theory Dedicated
to Karl-Hermann Neeb on the Occasion of His 60th Birthday.” J. Lie Theory,
vol. 35, no. 4, 2025.
short: J. Frahm, H. Glöckner, J. Hilgert, G. Olafsson, eds., Special Issue of Journal
of Lie Theory Dedicated to Karl-Hermann Neeb on the Occasion of His 60th Birthday,
2025.
date_created: 2026-02-26T17:42:01Z
date_updated: 2026-02-26T17:51:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
editor:
- first_name: Jan
full_name: Frahm, Jan
last_name: Frahm
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
- first_name: Gestur
full_name: Olafsson, Gestur
last_name: Olafsson
intvolume: ' 35'
issue: '4'
language:
- iso: eng
publication: J. Lie Theory
quality_controlled: '1'
status: public
title: Special issue of Journal of Lie Theory dedicated to Karl-Hermann Neeb on the
occasion of his 60th birthday
type: journal_editor
user_id: '178'
volume: 35
year: '2025'
...
---
_id: '64770'
author:
- first_name: Matthieu
full_name: Pinaud, Matthieu
last_name: Pinaud
citation:
ama: Pinaud M. Manifold of Mappings and Regularity Properties of Half-Lie Groups.;
2025. doi:10.17619/UNIPB/1-2211
apa: Pinaud, M. (2025). Manifold of mappings and regularity properties of half-Lie
groups. https://doi.org/10.17619/UNIPB/1-2211
bibtex: '@book{Pinaud_2025, title={Manifold of mappings and regularity properties
of half-Lie groups}, DOI={10.17619/UNIPB/1-2211},
author={Pinaud, Matthieu}, year={2025} }'
chicago: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of
Half-Lie Groups, 2025. https://doi.org/10.17619/UNIPB/1-2211.
ieee: M. Pinaud, Manifold of mappings and regularity properties of half-Lie groups.
2025.
mla: Pinaud, Matthieu. Manifold of Mappings and Regularity Properties of Half-Lie
Groups. 2025, doi:10.17619/UNIPB/1-2211.
short: M. Pinaud, Manifold of Mappings and Regularity Properties of Half-Lie Groups,
2025.
date_created: 2026-02-26T21:58:22Z
date_updated: 2026-02-26T21:58:36Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.17619/UNIPB/1-2211
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-54221
oa: '1'
status: public
supervisor:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
title: Manifold of mappings and regularity properties of half-Lie groups
type: dissertation
user_id: '178'
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'
...