---
_id: '59792'
abstract:
- lang: eng
text: "Abstract\r\n Motivated by mechanical
systems with symmetries, we focus on optimal control problems possessing certain
symmetries. Following recent works (Faulwasser in Math Control Signals Syst 34:759–788
2022; Trélat in Math Control Signals Syst 35:685–739 2023), which generalized
the classical concept of static turnpike to manifold turnpike
we extend the exponential turnpike property to the
exponential trim turnpike for control systems with
symmetries induced by abelian or non-abelian groups. Our analysis is mainly based
on the geometric reduction of control systems with symmetries. More concretely,
we first reduce the control system on the quotient space and state the turnpike
theorem for the reduced problem. Then we use the group properties to obtain the
trim turnpike theorem for the full problem. Finally,
we illustrate our results on the Kepler problem and the rigid body problem.\r\n"
author:
- first_name: Kathrin
full_name: Flaßkamp, Kathrin
last_name: Flaßkamp
- 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: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
citation:
ama: Flaßkamp K, Maslovskaya S, Ober-Blöbaum S, Wembe Moafo BE. Trim turnpikes for
optimal control problems with symmetries. Mathematics of Control, Signals,
and Systems. Published online 2025. doi:10.1007/s00498-025-00408-w
apa: Flaßkamp, K., Maslovskaya, S., Ober-Blöbaum, S., & Wembe Moafo, B. E. (2025).
Trim turnpikes for optimal control problems with symmetries. Mathematics of
Control, Signals, and Systems. https://doi.org/10.1007/s00498-025-00408-w
bibtex: '@article{Flaßkamp_Maslovskaya_Ober-Blöbaum_Wembe Moafo_2025, title={Trim
turnpikes for optimal control problems with symmetries}, DOI={10.1007/s00498-025-00408-w},
journal={Mathematics of Control, Signals, and Systems}, publisher={Springer Science
and Business Media LLC}, author={Flaßkamp, Kathrin and Maslovskaya, Sofya and
Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar}, year={2025} }'
chicago: Flaßkamp, Kathrin, Sofya Maslovskaya, Sina Ober-Blöbaum, and Boris Edgar
Wembe Moafo. “Trim Turnpikes for Optimal Control Problems with Symmetries.” Mathematics
of Control, Signals, and Systems, 2025. https://doi.org/10.1007/s00498-025-00408-w.
ieee: 'K. Flaßkamp, S. Maslovskaya, S. Ober-Blöbaum, and B. E. Wembe Moafo, “Trim
turnpikes for optimal control problems with symmetries,” Mathematics of Control,
Signals, and Systems, 2025, doi: 10.1007/s00498-025-00408-w.'
mla: Flaßkamp, Kathrin, et al. “Trim Turnpikes for Optimal Control Problems with
Symmetries.” Mathematics of Control, Signals, and Systems, Springer Science
and Business Media LLC, 2025, doi:10.1007/s00498-025-00408-w.
short: K. Flaßkamp, S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, Mathematics
of Control, Signals, and Systems (2025).
date_created: 2025-05-05T09:23:38Z
date_updated: 2025-05-05T09:24:09Z
department:
- _id: '636'
doi: 10.1007/s00498-025-00408-w
language:
- iso: eng
publication: Mathematics of Control, Signals, and Systems
publication_identifier:
issn:
- 0932-4194
- 1435-568X
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Trim turnpikes for optimal control problems with symmetries
type: journal_article
user_id: '87909'
year: '2025'
...
---
_id: '59806'
abstract:
- lang: eng
text: We introduce a model of information dissemination in signed networks. It is
a discrete-time process in which uninformed actors incrementally receive information
from their informed neighbors or from the outside. Our goal is to minimize the
number of confused actors — that is, the number of actors who receive contradictory
information. We prove upper bounds for the number of confused actors in signed
networks and in equivalence classes of signed networks. In particular, we show
that there are signed networks where, for any information placement strategy,
almost 60% of the actors are confused. Furthermore, this is also the case when
considering the minimum number of confused actors within an equivalence class
of signed graphs.
author:
- first_name: Ligang
full_name: Jin, Ligang
last_name: Jin
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: Jin L, Steffen E. Information dissemination and confusion in signed networks.
Discrete Applied Mathematics. 2025;373:99-106. doi:10.1016/j.dam.2025.04.049
apa: Jin, L., & Steffen, E. (2025). Information dissemination and confusion
in signed networks. Discrete Applied Mathematics, 373, 99–106. https://doi.org/10.1016/j.dam.2025.04.049
bibtex: '@article{Jin_Steffen_2025, title={Information dissemination and confusion
in signed networks}, volume={373}, DOI={10.1016/j.dam.2025.04.049},
journal={Discrete Applied Mathematics}, publisher={Elsevier BV}, author={Jin,
Ligang and Steffen, Eckhard}, year={2025}, pages={99–106} }'
chicago: 'Jin, Ligang, and Eckhard Steffen. “Information Dissemination and Confusion
in Signed Networks.” Discrete Applied Mathematics 373 (2025): 99–106. https://doi.org/10.1016/j.dam.2025.04.049.'
ieee: 'L. Jin and E. Steffen, “Information dissemination and confusion in signed
networks,” Discrete Applied Mathematics, vol. 373, pp. 99–106, 2025, doi:
10.1016/j.dam.2025.04.049.'
mla: Jin, Ligang, and Eckhard Steffen. “Information Dissemination and Confusion
in Signed Networks.” Discrete Applied Mathematics, vol. 373, Elsevier BV,
2025, pp. 99–106, doi:10.1016/j.dam.2025.04.049.
short: L. Jin, E. Steffen, Discrete Applied Mathematics 373 (2025) 99–106.
date_created: 2025-05-06T07:38:49Z
date_updated: 2025-05-06T07:39:58Z
department:
- _id: '542'
doi: 10.1016/j.dam.2025.04.049
intvolume: ' 373'
language:
- iso: eng
page: 99-106
publication: Discrete Applied Mathematics
publication_identifier:
issn:
- 0166-218X
publication_status: published
publisher: Elsevier BV
status: public
title: Information dissemination and confusion in signed networks
type: journal_article
user_id: '15540'
volume: 373
year: '2025'
...
---
_id: '60048'
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: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: 'Gerlach R, von der Gracht S, Dellnitz M. On the Dynamical Hierarchy in Gathering
Protocols with Circulant Topologies. In: Lecture Notes in Computer Science.
Springer Nature Switzerland; 2025. doi:10.1007/978-3-031-91736-3_19'
apa: Gerlach, R., von der Gracht, S., & Dellnitz, M. (2025). On the Dynamical
Hierarchy in Gathering Protocols with Circulant Topologies. In Lecture Notes
in Computer Science. Springer Nature Switzerland. https://doi.org/10.1007/978-3-031-91736-3_19
bibtex: '@inbook{Gerlach_von der Gracht_Dellnitz_2025, place={Cham}, title={On the Dynamical
Hierarchy in Gathering Protocols with Circulant Topologies}, DOI={10.1007/978-3-031-91736-3_19},
booktitle={Lecture Notes in Computer Science}, publisher={Springer Nature Switzerland},
author={Gerlach, Raphael and von der Gracht, Sören and Dellnitz, Michael}, year={2025}
}'
chicago: 'Gerlach, Raphael, Sören von der Gracht, and Michael Dellnitz. “On the Dynamical
Hierarchy in Gathering Protocols with Circulant Topologies.” In Lecture Notes
in Computer Science. Cham: Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-91736-3_19.'
ieee: 'R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy
in Gathering Protocols with Circulant Topologies,” in Lecture Notes in Computer
Science, Cham: Springer Nature Switzerland, 2025.'
mla: Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols
with Circulant Topologies.” Lecture Notes in Computer Science, Springer
Nature Switzerland, 2025, doi:10.1007/978-3-031-91736-3_19.
short: 'R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer
Science, Springer Nature Switzerland, Cham, 2025.'
date_created: 2025-05-27T08:17:03Z
date_updated: 2025-05-27T08:22:42Z
department:
- _id: '101'
doi: 10.1007/978-3-031-91736-3_19
external_id:
arxiv:
- '2503.07576'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' ArXiv:2503.07576'
oa: '1'
place: Cham
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: Lecture Notes in Computer Science
publication_identifier:
isbn:
- '9783031917356'
- '9783031917363'
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer Nature Switzerland
status: public
title: On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
type: book_chapter
user_id: '32655'
year: '2025'
...
---
_id: '58516'
abstract:
- lang: eng
text: "Abstract\r\n Academic emotions
play a crucial role in mathematics learning, significantly influencing motivation,
academic achievement, and career aspirations in mathematics. With the notable
increase in research on emotions in recent years, our review uses Pekrun’s control-value
theory with two primary objectives: to systematically describe the characteristics
of emotions in recent research through a systematic review, and to synthesize
evidence on the relationships between specific emotions, control-value antecedents,
and mathematics achievement via a meta-analysis. The systematic review of 112
studies revealed that more than 100 specific emotions have been addressed in recent
research, which we analyzed based on key emotion characteristics: valence and
activation, type of object, temporal stability, and social context. The findings
from the systematic review provide an overview of mathematics-specific objects
that emotions have referred to in the most recent research. The subsequent meta-analysis
demonstrated that mathematics achievement (e.g., test scores and grades) was positively
related to enjoyment, hope, and pride (\r\n \r\n
\ $$\\overline{r}$$\r\n \r\n \r\n
\ r\r\n ¯\r\n
\ \r\n \r\n \r\n
\ = .247, .224, and .344, respectively) but negatively
related to anger, boredom, frustration, hopelessness, and shame (\r\n
\ \r\n $$\\overline{r}$$\r\n
\ \r\n
\ \r\n r\r\n ¯\r\n
\ \r\n \r\n \r\n
\ = − .322, − .187, − .207, − .378, and − .291,
respectively). Theoretical and practical implications of these results are discussed."
author:
- first_name: Johanna
full_name: Schönherr, Johanna
id: '99409'
last_name: Schönherr
- first_name: Stanislaw
full_name: Schukajlow, Stanislaw
last_name: Schukajlow
- first_name: Reinhard
full_name: Pekrun, Reinhard
last_name: Pekrun
citation:
ama: 'Schönherr J, Schukajlow S, Pekrun R. Emotions in mathematics learning: a systematic
review and meta-analysis. ZDM – Mathematics Education. Published online
2025. doi:10.1007/s11858-025-01651-w'
apa: 'Schönherr, J., Schukajlow, S., & Pekrun, R. (2025). Emotions in mathematics
learning: a systematic review and meta-analysis. ZDM – Mathematics Education.
https://doi.org/10.1007/s11858-025-01651-w'
bibtex: '@article{Schönherr_Schukajlow_Pekrun_2025, title={Emotions in mathematics
learning: a systematic review and meta-analysis}, DOI={10.1007/s11858-025-01651-w},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Schönherr, Johanna and Schukajlow, Stanislaw and Pekrun, Reinhard},
year={2025} }'
chicago: 'Schönherr, Johanna, Stanislaw Schukajlow, and Reinhard Pekrun. “Emotions
in Mathematics Learning: A Systematic Review and Meta-Analysis.” ZDM – Mathematics
Education, 2025. https://doi.org/10.1007/s11858-025-01651-w.'
ieee: 'J. Schönherr, S. Schukajlow, and R. Pekrun, “Emotions in mathematics learning:
a systematic review and meta-analysis,” ZDM – Mathematics Education, 2025,
doi: 10.1007/s11858-025-01651-w.'
mla: 'Schönherr, Johanna, et al. “Emotions in Mathematics Learning: A Systematic
Review and Meta-Analysis.” ZDM – Mathematics Education, Springer Science
and Business Media LLC, 2025, doi:10.1007/s11858-025-01651-w.'
short: J. Schönherr, S. Schukajlow, R. Pekrun, ZDM – Mathematics Education (2025).
date_created: 2025-02-05T08:19:34Z
date_updated: 2025-05-27T12:16:26Z
department:
- _id: '913'
doi: 10.1007/s11858-025-01651-w
language:
- iso: eng
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Emotions in mathematics learning: a systematic review and meta-analysis'
type: journal_article
user_id: '99409'
year: '2025'
...
---
_id: '59703'
article_number: '102369'
author:
- first_name: Johanna
full_name: Schönherr, Johanna
id: '99409'
last_name: Schönherr
- first_name: Richard E.
full_name: Mayer, Richard E.
last_name: Mayer
citation:
ama: Schönherr J, Mayer RE. Maximizing the benefits of student-generated drawing
for real-world problem solving. Contemporary Educational Psychology. 2025;81.
doi:10.1016/j.cedpsych.2025.102369
apa: Schönherr, J., & Mayer, R. E. (2025). Maximizing the benefits of student-generated
drawing for real-world problem solving. Contemporary Educational Psychology,
81, Article 102369. https://doi.org/10.1016/j.cedpsych.2025.102369
bibtex: '@article{Schönherr_Mayer_2025, title={Maximizing the benefits of student-generated
drawing for real-world problem solving}, volume={81}, DOI={10.1016/j.cedpsych.2025.102369},
number={102369}, journal={Contemporary Educational Psychology}, publisher={Elsevier
BV}, author={Schönherr, Johanna and Mayer, Richard E.}, year={2025} }'
chicago: Schönherr, Johanna, and Richard E. Mayer. “Maximizing the Benefits of Student-Generated
Drawing for Real-World Problem Solving.” Contemporary Educational Psychology
81 (2025). https://doi.org/10.1016/j.cedpsych.2025.102369.
ieee: 'J. Schönherr and R. E. Mayer, “Maximizing the benefits of student-generated
drawing for real-world problem solving,” Contemporary Educational Psychology,
vol. 81, Art. no. 102369, 2025, doi: 10.1016/j.cedpsych.2025.102369.'
mla: Schönherr, Johanna, and Richard E. Mayer. “Maximizing the Benefits of Student-Generated
Drawing for Real-World Problem Solving.” Contemporary Educational Psychology,
vol. 81, 102369, Elsevier BV, 2025, doi:10.1016/j.cedpsych.2025.102369.
short: J. Schönherr, R.E. Mayer, Contemporary Educational Psychology 81 (2025).
date_created: 2025-04-28T14:44:15Z
date_updated: 2025-05-27T12:15:42Z
department:
- _id: '913'
doi: 10.1016/j.cedpsych.2025.102369
intvolume: ' 81'
language:
- iso: eng
publication: Contemporary Educational Psychology
publication_identifier:
issn:
- 0361-476X
publication_status: published
publisher: Elsevier BV
status: public
title: Maximizing the benefits of student-generated drawing for real-world problem
solving
type: journal_article
user_id: '99409'
volume: 81
year: '2025'
...
---
_id: '60102'
abstract:
- lang: eng
text: ' Zusammenfassung: Studien haben gezeigt, dass frühe numerische Kompetenzen
einen Einfluss auf die spätere mathematische Entwicklung haben. Vor diesem Hintergrund
ist es wichtig, die numerischen Kompetenzen bereits im Kindergartenalter zu erfassen,
um Kinder, denen wichtige Kompetenzen für die mathematische Entwicklung fehlen,
und für die das Risiko der Entwicklung von Rechenschwierigkeiten besteht, frühzeitig
und praxistauglich zu identifizieren. In der Studie wird ein Screening zur Erfassung
der numerischen Kompetenzen im Kindergartenalter präsentiert, bei dem ausgewählte
Aufgaben in einem Gruppensetting durchgeführt werden können. An der Validierung
nahmen Kinder im Alter von vier bis sechs Jahren aus der Schweiz ( n = 431) und
aus Deutschland ( n = 325) teil. Die Ergebnisse zeigen, dass mit dem Screening
in verschiedenen Gruppen (Schweiz, Deutschland) mit wenigen Ausnahmen dieselben
Eigenschaften gemessen werden. Die prognostische Validität für den Zeitpunkt kurz
vor Schuleintritt ist zufriedenstellend. Der Testwert auf Basis des Gruppensettings
lässt sich valide interpretieren, da sich keine Unterschiede zwischen Kindern,
die die Aufgaben einzeln gelöst haben und Kindern, die die Aufgaben in Gruppen
bearbeitet haben, gezeigt haben. Zusammenfassend lässt sich sagen, dass das Screening
durch die Kombination von Einzel- und Kleingruppentests die Erfassung numerischer
Fähigkeiten im Kindergarten in kurzer Zeit zuverlässig und valide ermöglicht.
'
alternative_title:
- Validierung eines Screenings in der Schweiz und in Deutschland
author:
- first_name: Noemi
full_name: Gloor, Noemi
last_name: Gloor
- first_name: Karin
full_name: Kucian, Karin
last_name: Kucian
- 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: Elisabeth
full_name: Moser Opitz, Elisabeth
last_name: Moser Opitz
citation:
ama: Gloor N, Kucian K, Bruns J, Gasteiger H, Moser Opitz E. Erfassung der numerischen
Kompetenzen im Kindergartenalter. Frühe Bildung. Published
online 2025. doi:10.1026/2191-9186/a000699
apa: Gloor, N., Kucian, K., Bruns, J., Gasteiger, H., & Moser Opitz, E. (2025).
Erfassung der numerischen Kompetenzen im Kindergartenalter.
Frühe Bildung. https://doi.org/10.1026/2191-9186/a000699
bibtex: '@article{Gloor_Kucian_Bruns_Gasteiger_Moser Opitz_2025, title={Erfassung
der numerischen Kompetenzen im Kindergartenalter}, DOI={10.1026/2191-9186/a000699},
journal={Frühe Bildung}, publisher={Hogrefe Publishing Group}, author={Gloor,
Noemi and Kucian, Karin and Bruns, Julia and Gasteiger, Hedwig and Moser Opitz,
Elisabeth}, year={2025} }'
chicago: Gloor, Noemi, Karin Kucian, Julia Bruns, Hedwig Gasteiger, and Elisabeth
Moser Opitz. “Erfassung der numerischen Kompetenzen im Kindergartenalter.”
Frühe Bildung, 2025. https://doi.org/10.1026/2191-9186/a000699.
ieee: 'N. Gloor, K. Kucian, J. Bruns, H. Gasteiger, and E. Moser Opitz, “Erfassung
der numerischen Kompetenzen im Kindergartenalter,” Frühe
Bildung, 2025, doi: 10.1026/2191-9186/a000699.'
mla: Gloor, Noemi, et al. “Erfassung der numerischen Kompetenzen im
Kindergartenalter.” Frühe Bildung, Hogrefe Publishing Group, 2025,
doi:10.1026/2191-9186/a000699.
short: N. Gloor, K. Kucian, J. Bruns, H. Gasteiger, E. Moser Opitz, Frühe Bildung
(2025).
date_created: 2025-06-02T14:11:40Z
date_updated: 2025-06-02T14:12:03Z
department:
- _id: '611'
doi: 10.1026/2191-9186/a000699
language:
- iso: ger
publication: Frühe Bildung
publication_identifier:
issn:
- 2191-9186
- 2191-9194
publication_status: published
publisher: Hogrefe Publishing Group
status: public
title: Erfassung der numerischen Kompetenzen im Kindergartenalter
type: journal_article
user_id: '72183'
year: '2025'
...
---
_id: '63587'
author:
- first_name: Ali
full_name: Suri, Ali
id: '89268'
last_name: Suri
orcid: https://orcid.org/0000-0002-9682-9037
citation:
ama: Suri A. Stochastic Euler-Poincaré reduction for central extension. Differential
Geometry and its Applications. 2025;101. doi:https://doi.org/10.1016/j.difgeo.2025.102290
apa: Suri, A. (2025). Stochastic Euler-Poincaré reduction for central extension.
Differential Geometry and Its Applications, 101. https://doi.org/10.1016/j.difgeo.2025.102290
bibtex: '@article{Suri_2025, title={Stochastic Euler-Poincaré reduction for central
extension}, volume={101}, DOI={https://doi.org/10.1016/j.difgeo.2025.102290},
journal={Differential Geometry and its Applications}, publisher={Elsevier}, author={Suri,
Ali}, year={2025} }'
chicago: Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.”
Differential Geometry and Its Applications 101 (2025). https://doi.org/10.1016/j.difgeo.2025.102290.
ieee: 'A. Suri, “Stochastic Euler-Poincaré reduction for central extension,” Differential
Geometry and its Applications, vol. 101, 2025, doi: https://doi.org/10.1016/j.difgeo.2025.102290.'
mla: Suri, Ali. “Stochastic Euler-Poincaré Reduction for Central Extension.” Differential
Geometry and Its Applications, vol. 101, Elsevier, 2025, doi:https://doi.org/10.1016/j.difgeo.2025.102290.
short: A. Suri, Differential Geometry and Its Applications 101 (2025).
date_created: 2026-01-13T10:28:17Z
date_updated: 2026-01-13T10:54:20Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: https://doi.org/10.1016/j.difgeo.2025.102290
intvolume: ' 101'
language:
- iso: eng
publication: Differential Geometry and its Applications
publisher: Elsevier
status: public
title: Stochastic Euler-Poincaré reduction for central extension
type: journal_article
user_id: '89268'
volume: 101
year: '2025'
...
---
_id: '63589'
author:
- first_name: Ana Bela
full_name: Cruzeiro, Ana Bela
last_name: Cruzeiro
- first_name: Ali
full_name: Suri, Ali
id: '89268'
last_name: Suri
orcid: https://orcid.org/0000-0002-9682-9037
citation:
ama: 'Cruzeiro AB, Suri A. Stochastic Perturbation of Geodesics on the Manifold
of Riemannian Metrics. In: Springer; 2025. doi:https://doi.org/10.1007/978-3-032-03921-7_41'
apa: Cruzeiro, A. B., & Suri, A. (2025). Stochastic Perturbation of Geodesics
on the Manifold of Riemannian Metrics. https://doi.org/10.1007/978-3-032-03921-7_41
bibtex: '@inproceedings{Cruzeiro_Suri_2025, place={Cham}, title={Stochastic Perturbation
of Geodesics on the Manifold of Riemannian Metrics}, DOI={https://doi.org/10.1007/978-3-032-03921-7_41},
publisher={Springer}, author={Cruzeiro, Ana Bela and Suri, Ali}, year={2025} }'
chicago: 'Cruzeiro, Ana Bela, and Ali Suri. “Stochastic Perturbation of Geodesics
on the Manifold of Riemannian Metrics.” Cham: Springer, 2025. https://doi.org/10.1007/978-3-032-03921-7_41.'
ieee: 'A. B. Cruzeiro and A. Suri, “Stochastic Perturbation of Geodesics on the
Manifold of Riemannian Metrics,” 2025, doi: https://doi.org/10.1007/978-3-032-03921-7_41.'
mla: Cruzeiro, Ana Bela, and Ali Suri. Stochastic Perturbation of Geodesics on
the Manifold of Riemannian Metrics. Springer, 2025, doi:https://doi.org/10.1007/978-3-032-03921-7_41.
short: 'A.B. Cruzeiro, A. Suri, in: Springer, Cham, 2025.'
date_created: 2026-01-13T10:48:06Z
date_updated: 2026-01-13T10:54:11Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: https://doi.org/10.1007/978-3-032-03921-7_41
language:
- iso: eng
place: Cham
publication_identifier:
isbn:
- 978-3-032-03920-0
publisher: Springer
status: public
title: Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics
type: conference
user_id: '89268'
year: '2025'
...
---
_id: '63602'
abstract:
- lang: eng
text: We show that, on a smoothly paracompact convenient manifold $M$ modeled on
a convenient space with the bornological approximation property, the dual map
of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb
R)$.
author:
- first_name: ' P. W.'
full_name: Michor, P. W.
last_name: Michor
- first_name: Praful
full_name: Rahangdale, Praful
id: '103300'
last_name: Rahangdale
citation:
ama: Michor P. W., Rahangdale P. Poisson bivectors on infinite dimensional manifolds.
Published online 2025.
apa: Michor, P. W., & Rahangdale, P. (2025). Poisson bivectors on infinite
dimensional manifolds.
bibtex: '@article{Michor_Rahangdale_2025, title={Poisson bivectors on infinite dimensional
manifolds}, author={Michor, P. W. and Rahangdale, Praful}, year={2025} }'
chicago: Michor, P. W., and Praful Rahangdale. “Poisson Bivectors on Infinite Dimensional
Manifolds,” 2025.
ieee: P. W. Michor and P. Rahangdale, “Poisson bivectors on infinite dimensional
manifolds.” 2025.
mla: Michor, P. W., and Praful Rahangdale. Poisson Bivectors on Infinite Dimensional
Manifolds. 2025.
short: P. W. Michor, P. Rahangdale, (2025).
date_created: 2026-01-14T01:08:37Z
date_updated: 2026-01-14T02:11:51Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
language:
- iso: eng
status: public
title: Poisson bivectors on infinite dimensional manifolds
type: preprint
user_id: '103300'
year: '2025'
...
---
_id: '63622'
author:
- first_name: Irene
full_name: Garnelo Abellanas, Irene
id: '93843'
last_name: Garnelo Abellanas
citation:
ama: 'Garnelo Abellanas I. Towards design principles for learning environments based
on theorem provers. In: Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14). ; 2025.'
apa: Garnelo Abellanas, I. (2025). Towards design principles for learning environments
based on theorem provers. Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14).
bibtex: '@inproceedings{Garnelo Abellanas_2025, title={Towards design principles
for learning environments based on theorem provers}, booktitle={Proceedings of
the Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14)}, author={Garnelo Abellanas, Irene}, year={2025} }'
chicago: Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments
Based on Theorem Provers.” In Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), 2025.
ieee: I. Garnelo Abellanas, “Towards design principles for learning environments
based on theorem provers,” 2025.
mla: Garnelo Abellanas, Irene. “Towards Design Principles for Learning Environments
Based on Theorem Provers.” Proceedings of the Fourteenth Congress of the European
Society for Research in Mathematics Education (CERME14), 2025.
short: 'I. Garnelo Abellanas, in: Proceedings of the Fourteenth Congress of the
European Society for Research in Mathematics Education (CERME14), 2025.'
date_created: 2026-01-15T10:23:32Z
date_updated: 2026-01-15T10:23:49Z
department:
- _id: '979'
language:
- iso: eng
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
status: public
title: Towards design principles for learning environments based on theorem provers
type: conference
user_id: '93843'
year: '2025'
...
---
_id: '63629'
author:
- first_name: Irene
full_name: Garnelo Abellanas, Irene
id: '93843'
last_name: Garnelo Abellanas
citation:
ama: 'Garnelo Abellanas I. Ein Designprinzip für Lernumgebungen zu inter-aktiven
Theorembeweisern. In: Beiträge Zum Mathematikunterricht 2025. ; 2025.'
apa: Garnelo Abellanas, I. (2025). Ein Designprinzip für Lernumgebungen zu inter-aktiven
Theorembeweisern. Beiträge Zum Mathematikunterricht 2025.
bibtex: '@inproceedings{Garnelo Abellanas_2025, title={Ein Designprinzip für Lernumgebungen
zu inter-aktiven Theorembeweisern}, booktitle={Beiträge zum Mathematikunterricht
2025}, author={Garnelo Abellanas, Irene}, year={2025} }'
chicago: Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven
Theorembeweisern.” In Beiträge Zum Mathematikunterricht 2025, 2025.
ieee: I. Garnelo Abellanas, “Ein Designprinzip für Lernumgebungen zu inter-aktiven
Theorembeweisern,” 2025.
mla: Garnelo Abellanas, Irene. “Ein Designprinzip Für Lernumgebungen Zu Inter-Aktiven
Theorembeweisern.” Beiträge Zum Mathematikunterricht 2025, 2025.
short: 'I. Garnelo Abellanas, in: Beiträge Zum Mathematikunterricht 2025, 2025.'
date_created: 2026-01-15T10:31:16Z
date_updated: 2026-01-15T10:31:29Z
department:
- _id: '979'
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht 2025
status: public
title: Ein Designprinzip für Lernumgebungen zu inter-aktiven Theorembeweisern
type: conference
user_id: '93843'
year: '2025'
...
---
_id: '47534'
abstract:
- lang: eng
text: "In this proceeding we consider a translation invariant Nelson type model
in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith
a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan
be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac
formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors
in a recent preprint (where several matter particles and exterior\r\npotentials
are treated as well). After that, we employ a few technical key\r\nrelations and
estimates obtained in our preprint to present an otherwise\r\nself-contained derivation
of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total
momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative
derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian."
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Oliver
full_name: Matte, Oliver
last_name: Matte
citation:
ama: 'Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic
Nelson model in two spatial dimensions. In: Hiroshima F, ed. Proceedings of
the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics.”
Vol 2310. RIMS Kôkyûroku. ; 2025.'
apa: Hinrichs, B., & Matte, O. (2025). Feynman-Kac formula for fiber Hamiltonians
in the relativistic Nelson model in two spatial dimensions. In F. Hiroshima (Ed.),
Proceedings of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields
and Related Topics” (Vol. 2310, Issue 3).
bibtex: '@inproceedings{Hinrichs_Matte_2025, series={RIMS Kôkyûroku}, title={Feynman-Kac
formula for fiber Hamiltonians in the relativistic Nelson model in two spatial
dimensions}, volume={2310}, number={3}, booktitle={Proceedings of the 2023 RIMS
Workshop “Mathematical Aspects of Quantum Fields and Related Topics”}, author={Hinrichs,
Benjamin and Matte, Oliver}, editor={Hiroshima, Fumio}, year={2025}, collection={RIMS
Kôkyûroku} }'
chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians
in the Relativistic Nelson Model in Two Spatial Dimensions.” In Proceedings
of the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related
Topics,” edited by Fumio Hiroshima, Vol. 2310. RIMS Kôkyûroku, 2025.
ieee: B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the
relativistic Nelson model in two spatial dimensions,” in Proceedings of the
2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”
2025, vol. 2310, no. 3.
mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians
in the Relativistic Nelson Model in Two Spatial Dimensions.” Proceedings of
the 2023 RIMS Workshop “Mathematical Aspects of Quantum Fields and Related Topics,”
edited by Fumio Hiroshima, vol. 2310, no. 3, 2025.
short: 'B. Hinrichs, O. Matte, in: F. Hiroshima (Ed.), Proceedings of the 2023 RIMS
Workshop “Mathematical Aspects of Quantum Fields and Related Topics,” 2025.'
date_created: 2023-10-02T06:21:37Z
date_updated: 2026-01-16T08:55:19Z
department:
- _id: '799'
- _id: '623'
editor:
- first_name: Fumio
full_name: Hiroshima, Fumio
last_name: Hiroshima
external_id:
arxiv:
- '2309.09005'
intvolume: ' 2310'
issue: '3'
language:
- iso: eng
main_file_link:
- url: https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2310.html
project:
- _id: '266'
name: 'PhoQC: PhoQC: Photonisches Quantencomputing'
publication: Proceedings of the 2023 RIMS Workshop 'Mathematical Aspects of Quantum
Fields and Related Topics'
series_title: RIMS Kôkyûroku
status: public
title: Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model
in two spatial dimensions
type: conference
user_id: '99427'
volume: 2310
year: '2025'
...
---
_id: '63642'
abstract:
- lang: eng
text: We prove absence of ground states in the infrared-divergent spin boson model
at large coupling. Our key argument reduces the proof to verifying long range
order in the dual one-dimensional continuum Ising model, i.e., to showing that
the respective two point function is lower bounded by a strictly positive constant.
We can then use known results from percolation theory to establish long range
order at large coupling. Combined with the known existence of ground states at
small coupling, our result proves that the spin boson model undergoes a phase
transition with respect to the coupling strength. We also present an expansion
for the vacuum overlap of the spin boson ground state in terms of the Ising $n$-point
functions, which implies that the phase transition is unique, i.e., that there
is a critical coupling constant below which a ground state exists and above which
none can exist.
author:
- first_name: Volker
full_name: Betz, Volker
last_name: Betz
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Mino Nicola
full_name: Kraft, Mino Nicola
last_name: Kraft
- first_name: Steffen
full_name: Polzer, Steffen
last_name: Polzer
citation:
ama: Betz V, Hinrichs B, Kraft MN, Polzer S. On the Ising Phase Transition in the
Infrared-Divergent Spin Boson Model. arXiv:250119362. Published online
2025.
apa: Betz, V., Hinrichs, B., Kraft, M. N., & Polzer, S. (2025). On the Ising
Phase Transition in the Infrared-Divergent Spin Boson Model. In arXiv:2501.19362.
bibtex: '@article{Betz_Hinrichs_Kraft_Polzer_2025, title={On the Ising Phase Transition
in the Infrared-Divergent Spin Boson Model}, journal={arXiv:2501.19362}, author={Betz,
Volker and Hinrichs, Benjamin and Kraft, Mino Nicola and Polzer, Steffen}, year={2025}
}'
chicago: Betz, Volker, Benjamin Hinrichs, Mino Nicola Kraft, and Steffen Polzer.
“On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model.” ArXiv:2501.19362,
2025.
ieee: V. Betz, B. Hinrichs, M. N. Kraft, and S. Polzer, “On the Ising Phase Transition
in the Infrared-Divergent Spin Boson Model,” arXiv:2501.19362. 2025.
mla: Betz, Volker, et al. “On the Ising Phase Transition in the Infrared-Divergent
Spin Boson Model.” ArXiv:2501.19362, 2025.
short: V. Betz, B. Hinrichs, M.N. Kraft, S. Polzer, ArXiv:2501.19362 (2025).
date_created: 2026-01-16T08:56:45Z
date_updated: 2026-01-16T08:57:21Z
department:
- _id: '799'
external_id:
arxiv:
- '2501.19362'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2501.19362
status: public
title: On the Ising Phase Transition in the Infrared-Divergent Spin Boson Model
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63644'
abstract:
- lang: eng
text: We study the ultraviolet problem for models of a finite-dimensional quantum
mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin
boson model or its rotating-wave approximation. If the state change of the system
upon emission or absorption of a boson is either given by a normal matrix or by
a 2-nilpotent one, which is the case for the previously named examples, we prove
an optimal renormalization result. We complement it, by proving the norm resolvent
convergence of appropriately regularized models to the renormalized one. Our method
consists of a dressing transformation argument in the normal case and an appropriate
interior boundary condition for the 2-nilpotent case.
author:
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Jonas
full_name: Lampart, Jonas
last_name: Lampart
- first_name: Javier
full_name: Valentín Martín, Javier
last_name: Valentín Martín
citation:
ama: Hinrichs B, Lampart J, Valentín Martín J. Ultraviolet Renormalization of Spin
Boson Models I. Normal and 2-Nilpotent Interactions. arXiv:250204876. Published
online 2025.
apa: Hinrichs, B., Lampart, J., & Valentín Martín, J. (2025). Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions. In arXiv:2502.04876.
bibtex: '@article{Hinrichs_Lampart_Valentín Martín_2025, title={Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions}, journal={arXiv:2502.04876},
author={Hinrichs, Benjamin and Lampart, Jonas and Valentín Martín, Javier}, year={2025}
}'
chicago: Hinrichs, Benjamin, Jonas Lampart, and Javier Valentín Martín. “Ultraviolet
Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions.”
ArXiv:2502.04876, 2025.
ieee: B. Hinrichs, J. Lampart, and J. Valentín Martín, “Ultraviolet Renormalization
of Spin Boson Models I. Normal and 2-Nilpotent Interactions,” arXiv:2502.04876.
2025.
mla: Hinrichs, Benjamin, et al. “Ultraviolet Renormalization of Spin Boson Models
I. Normal and 2-Nilpotent Interactions.” ArXiv:2502.04876, 2025.
short: B. Hinrichs, J. Lampart, J. Valentín Martín, ArXiv:2502.04876 (2025).
date_created: 2026-01-16T08:58:25Z
date_updated: 2026-01-16T08:59:03Z
department:
- _id: '799'
external_id:
arxiv:
- '2502.04876'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2502.04876
status: public
title: Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent
Interactions
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63643'
abstract:
- lang: eng
text: In this short communication we discuss the ultraviolet renormalization of
the van Hove-Miyatake scalar field, generated by any distributional source. An
abstract algebraic approach, based on the study of a special class of ground states
of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization
that makes use of a non-unitary dressing transformation. The two approaches are
proved to yield equivalent results.
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
citation:
ama: 'Falconi M, Hinrichs B. Ultraviolet Renormalization of the van Hove-Miyatake
Model: an Algebraic and Hamiltonian Approach. arXiv:250519977. Published
online 2025.'
apa: 'Falconi, M., & Hinrichs, B. (2025). Ultraviolet Renormalization of the
van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach. In arXiv:2505.19977.'
bibtex: '@article{Falconi_Hinrichs_2025, title={Ultraviolet Renormalization of the
van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach}, journal={arXiv:2505.19977},
author={Falconi, Marco and Hinrichs, Benjamin}, year={2025} }'
chicago: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of
the van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977,
2025.'
ieee: 'M. Falconi and B. Hinrichs, “Ultraviolet Renormalization of the van Hove-Miyatake
Model: an Algebraic and Hamiltonian Approach,” arXiv:2505.19977. 2025.'
mla: 'Falconi, Marco, and Benjamin Hinrichs. “Ultraviolet Renormalization of the
van Hove-Miyatake Model: An Algebraic and Hamiltonian Approach.” ArXiv:2505.19977,
2025.'
short: M. Falconi, B. Hinrichs, ArXiv:2505.19977 (2025).
date_created: 2026-01-16T08:57:34Z
date_updated: 2026-01-16T08:58:12Z
department:
- _id: '799'
external_id:
arxiv:
- '2505.19977'
language:
- iso: eng
publication: arXiv:2505.19977
status: public
title: 'Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and
Hamiltonian Approach'
type: preprint
user_id: '99427'
year: '2025'
...
---
_id: '63645'
abstract:
- lang: eng
text: In this paper we construct the non-trivial, renormalized Hamiltonian for a
class of spin-boson models with supercritical form factors, including the one
describing the Weisskopf-Wigner spontaneous emission. The renormalization is performed
through both a self-energy and mass renormalization, in the so-called Hamiltonian
formalism of constructive quantum field theory, implemented by a non-unitary dressing
transformation. This solves the problem of triviality for unitarily-renormalized
supercritical spin-boson models.
author:
- first_name: Marco
full_name: Falconi, Marco
last_name: Falconi
- first_name: Benjamin
full_name: Hinrichs, Benjamin
id: '99427'
last_name: Hinrichs
orcid: 0000-0001-9074-1205
- first_name: Javier
full_name: Valentín Martín, Javier
last_name: Valentín Martín
citation:
ama: Falconi M, Hinrichs B, Valentín Martín J. Non-Trivial Renormalization of Spin-Boson
Models with Supercritical Form Factors. arXiv:250800805. Published online
2025.
apa: Falconi, M., Hinrichs, B., & Valentín Martín, J. (2025). Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors. In arXiv:2508.00805.
bibtex: '@article{Falconi_Hinrichs_Valentín Martín_2025, title={Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors}, journal={arXiv:2508.00805},
author={Falconi, Marco and Hinrichs, Benjamin and Valentín Martín, Javier}, year={2025}
}'
chicago: Falconi, Marco, Benjamin Hinrichs, and Javier Valentín Martín. “Non-Trivial
Renormalization of Spin-Boson Models with Supercritical Form Factors.” ArXiv:2508.00805,
2025.
ieee: M. Falconi, B. Hinrichs, and J. Valentín Martín, “Non-Trivial Renormalization
of Spin-Boson Models with Supercritical Form Factors,” arXiv:2508.00805.
2025.
mla: Falconi, Marco, et al. “Non-Trivial Renormalization of Spin-Boson Models with
Supercritical Form Factors.” ArXiv:2508.00805, 2025.
short: M. Falconi, B. Hinrichs, J. Valentín Martín, ArXiv:2508.00805 (2025).
date_created: 2026-01-16T08:59:11Z
date_updated: 2026-01-16T09:01:45Z
department:
- _id: '799'
external_id:
arxiv:
- '2508.00805'
language:
- iso: eng
project:
- _id: '266'
name: 'PhoQC: Photonisches Quantencomputing'
publication: arXiv:2508.00805
status: public
title: Non-Trivial Renormalization of Spin-Boson Models with Supercritical Form Factors
type: preprint
user_id: '99427'
year: '2025'
...
---
_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'
...