---
_id: '61042'
abstract:
- lang: eng
text: We introduce the concept of a k-token signed graph and study some of its combinatorial
and algebraic properties. We prove that two switching isomorphic signed graphs
have switching isomorphic token graphs. Moreover, we show that the Laplacian spectrum
of a balanced signed graph is contained in the Laplacian spectra of its k-token
signed graph. Besides, we introduce and study the unbalance level of a signed
graph, which is a new parameter that measures how far a signed graph is from being
balanced. Moreover, we study the relation between the frustration index and the
unbalance level of signed graphs and their token signed graphs.
article_number: '7'
author:
- first_name: C.
full_name: Dalfó, C.
last_name: Dalfó
- first_name: M. A.
full_name: Fiol, M. A.
last_name: Fiol
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
citation:
ama: Dalfó C, Fiol MA, Steffen E. On token signed graphs. Journal of Algebraic
Combinatorics. 2025;62(1). doi:10.1007/s10801-025-01416-4
apa: Dalfó, C., Fiol, M. A., & Steffen, E. (2025). On token signed graphs. Journal
of Algebraic Combinatorics, 62(1), Article 7. https://doi.org/10.1007/s10801-025-01416-4
bibtex: '@article{Dalfó_Fiol_Steffen_2025, title={On token signed graphs}, volume={62},
DOI={10.1007/s10801-025-01416-4},
number={17}, journal={Journal of Algebraic Combinatorics}, publisher={Springer
Science and Business Media LLC}, author={Dalfó, C. and Fiol, M. A. and Steffen,
Eckhard}, year={2025} }'
chicago: Dalfó, C., M. A. Fiol, and Eckhard Steffen. “On Token Signed Graphs.” Journal
of Algebraic Combinatorics 62, no. 1 (2025). https://doi.org/10.1007/s10801-025-01416-4.
ieee: 'C. Dalfó, M. A. Fiol, and E. Steffen, “On token signed graphs,” Journal
of Algebraic Combinatorics, vol. 62, no. 1, Art. no. 7, 2025, doi: 10.1007/s10801-025-01416-4.'
mla: Dalfó, C., et al. “On Token Signed Graphs.” Journal of Algebraic Combinatorics,
vol. 62, no. 1, 7, Springer Science and Business Media LLC, 2025, doi:10.1007/s10801-025-01416-4.
short: C. Dalfó, M.A. Fiol, E. Steffen, Journal of Algebraic Combinatorics 62 (2025).
date_created: 2025-08-28T07:50:03Z
date_updated: 2025-08-28T07:57:27Z
department:
- _id: '542'
doi: 10.1007/s10801-025-01416-4
intvolume: ' 62'
issue: '1'
language:
- iso: eng
publication: Journal of Algebraic Combinatorics
publication_identifier:
issn:
- 0925-9899
- 1572-9192
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On token signed graphs
type: journal_article
user_id: '15540'
volume: 62
year: '2025'
...
---
_id: '61125'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Michael
full_name: Liebendörfer, Michael
last_name: Liebendörfer
- first_name: Angela
full_name: Schmitz, Angela
last_name: Schmitz
- first_name: Birte
full_name: Reich, Birte
last_name: Reich
citation:
ama: Biehler R, Liebendörfer M, Schmitz A, Reich B. studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar. Mitteilungen der Deutschen
Mathematiker-Vereinigung. 2025;33(3):170–171.
apa: Biehler, R., Liebendörfer, M., Schmitz, A., & Reich, B. (2025). studiVEMINT
Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei verfügbar.
Mitteilungen der Deutschen Mathematiker-Vereinigung, 33(3), 170–171.
bibtex: '@article{Biehler_Liebendörfer_Schmitz_Reich_2025, title={studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar}, volume={33}, number={3},
journal={Mitteilungen der Deutschen Mathematiker-Vereinigung}, publisher={De Gruyter},
author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Reich,
Birte}, year={2025}, pages={170–171} }'
chicago: 'Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, and Birte Reich.
“studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos frei
verfügbar.” Mitteilungen der Deutschen Mathematiker-Vereinigung 33, no.
3 (2025): 170–171.'
ieee: R. Biehler, M. Liebendörfer, A. Schmitz, and B. Reich, “studiVEMINT Mathematik-Online-Vorkurs
jetzt mit 300 integrierten Lernvideos frei verfügbar,” Mitteilungen der Deutschen
Mathematiker-Vereinigung, vol. 33, no. 3, pp. 170–171, 2025.
mla: Biehler, Rolf, et al. “studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300
integrierten Lernvideos frei verfügbar.” Mitteilungen der Deutschen Mathematiker-Vereinigung,
vol. 33, no. 3, De Gruyter, 2025, pp. 170–171.
short: R. Biehler, M. Liebendörfer, A. Schmitz, B. Reich, Mitteilungen der Deutschen
Mathematiker-Vereinigung 33 (2025) 170–171.
date_created: 2025-09-04T09:23:47Z
date_updated: 2025-09-04T09:25:03Z
department:
- _id: '363'
intvolume: ' 33'
issue: '3'
language:
- iso: ger
main_file_link:
- open_access: '1'
url: https://doi.org/10.1515/dmvm-2025-0053
oa: '1'
page: 170–171
publication: Mitteilungen der Deutschen Mathematiker-Vereinigung
publication_status: published
publisher: De Gruyter
status: public
title: studiVEMINT Mathematik-Online-Vorkurs jetzt mit 300 integrierten Lernvideos
frei verfügbar
type: journal_article
user_id: '37888'
volume: 33
year: '2025'
...
---
_id: '54970'
author:
- first_name: Carolin
full_name: Quack, Carolin
id: '77311'
last_name: Quack
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: Quack C, Bruns J. Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten
als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer
Fachkräfte. Frühe Bildung. 2025;14(2):72-78. doi:https://doi.org/10.1026/2191-9186/a000712
apa: Quack, C., & Bruns, J. (2025). Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte. Frühe Bildung, 14(2), 72–78.
https://doi.org/10.1026/2191-9186/a000712
bibtex: '@article{Quack_Bruns_2025, title={Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte}, volume={14}, DOI={https://doi.org/10.1026/2191-9186/a000712},
number={2}, journal={Frühe Bildung}, author={Quack, Carolin and Bruns, Julia},
year={2025}, pages={72–78} }'
chicago: 'Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte.” Frühe Bildung 14, no. 2 (2025):
72–78. https://doi.org/10.1026/2191-9186/a000712.'
ieee: 'C. Quack and J. Bruns, “Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten
als Einflussfaktoren der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer
Fachkräfte,” Frühe Bildung, vol. 14, no. 2, pp. 72–78, 2025, doi: https://doi.org/10.1026/2191-9186/a000712.'
mla: Quack, Carolin, and Julia Bruns. “Mathematikbezogenes Wissen, Einstellungen
und Lerngelegenheiten als Einflussfaktoren der situativen Beobachtung und Wahrnehmung
angehender frühpädagogischer Fachkräfte.” Frühe Bildung, vol. 14, no. 2,
2025, pp. 72–78, doi:https://doi.org/10.1026/2191-9186/a000712.
short: C. Quack, J. Bruns, Frühe Bildung 14 (2025) 72–78.
date_created: 2024-07-02T07:31:26Z
date_updated: 2026-03-11T14:31:13Z
department:
- _id: '611'
doi: https://doi.org/10.1026/2191-9186/a000712
intvolume: ' 14'
issue: '2'
language:
- iso: ger
page: 72-78
publication: Frühe Bildung
status: public
title: Mathematikbezogenes Wissen, Einstellungen und Lerngelegenheiten als Einflussfaktoren
der situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachkräfte
type: journal_article
user_id: '72183'
volume: 14
year: '2025'
...
---
_id: '62291'
abstract:
- lang: eng
text: |-
In [Jalowy, Kabluchko, Marynych, arXiv:2504.11593v1, 2025], the authors discuss a user-friendly approach to determine the limiting empirical zero distribution of a sequence of real-rooted polynomials, as the degree goes to $\infty$. In this note, we aim to apply it to a vast range of examples of polynomials providing a unifying source for limiting empirical zero distributions.
We cover Touchard, Fubini, Eulerian, Narayana and little $q$-Laguerre polynomials as well as hypergeometric polynomials including the classical Hermite, Laguerre and Jacobi polynomials. We construct polynomials whose empirical zero distributions converge to the free multiplicative normal and Poisson distributions. Furthermore, we study polynomials generated by some differential operators. As one inverse result, we derive coefficient asymptotics of the characteristic polynomial of random covariance matrices.
citation:
ama: 'Zeros and exponential profiles of polynomials II: Examples. Published online
2025. doi:10.48550/ARXIV.2509.11248'
apa: 'Zeros and exponential profiles of polynomials II: Examples. (2025).
https://doi.org/10.48550/ARXIV.2509.11248'
bibtex: '@article{Zeros and exponential profiles of polynomials II: Examples_2025,
DOI={10.48550/ARXIV.2509.11248},
year={2025} }'
chicago: '“Zeros and Exponential Profiles of Polynomials II: Examples,” 2025. https://doi.org/10.48550/ARXIV.2509.11248.'
ieee: '“Zeros and exponential profiles of polynomials II: Examples,” 2025, doi:
10.48550/ARXIV.2509.11248.'
mla: 'Zeros and Exponential Profiles of Polynomials II: Examples. 2025, doi:10.48550/ARXIV.2509.11248.'
short: (2025).
date_created: 2025-11-24T13:55:55Z
date_updated: 2026-03-19T14:45:35Z
department:
- _id: '94'
doi: 10.48550/ARXIV.2509.11248
status: public
title: 'Zeros and exponential profiles of polynomials II: Examples'
type: journal_article
user_id: '113768'
year: '2025'
...
---
_id: '56131'
abstract:
- lang: eng
text: 'This article provides a comprehensive mathematical-didactic analysis of how
the highly relevant topic symmetry can be prepared for the university education
of PSTs. Methodologically, the analysis is embedded in a design research cycle
and serves as preparation for the actual design of learning activities. The procedure
of "specifying and structuring" learning objects is used and adapted in such a
way that, in addition to mathematical aspects, profession-oriented references
to school mathematics are also considered. An essential result of the analysis
is the formulation of so-called interface aspects to symmetry, which prove to
be helpful in establishing such references. '
article_type: original
author:
- first_name: Max
full_name: Hoffmann, Max
id: '32202'
last_name: Hoffmann
orcid: 0000-0002-6964-7123
citation:
ama: Hoffmann M. Symmetry as a Topic for the University Education of Pre-Service
Teachers. Recherches en Didactique des Mathématiques. 2025;45(2):85-120.
doi:10.46298/rdm.14256
apa: Hoffmann, M. (2025). Symmetry as a Topic for the University Education of Pre-Service
Teachers. Recherches En Didactique Des Mathématiques, 45(2), 85–120.
https://doi.org/10.46298/rdm.14256
bibtex: '@article{Hoffmann_2025, title={Symmetry as a Topic for the University Education
of Pre-Service Teachers}, volume={45}, DOI={10.46298/rdm.14256},
number={2}, journal={Recherches en Didactique des Mathématiques}, author={Hoffmann,
Max}, year={2025}, pages={85–120} }'
chicago: 'Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service
Teachers.” Recherches En Didactique Des Mathématiques 45, no. 2 (2025):
85–120. https://doi.org/10.46298/rdm.14256.'
ieee: 'M. Hoffmann, “Symmetry as a Topic for the University Education of Pre-Service
Teachers,” Recherches en Didactique des Mathématiques, vol. 45, no. 2,
pp. 85–120, 2025, doi: 10.46298/rdm.14256.'
mla: Hoffmann, Max. “Symmetry as a Topic for the University Education of Pre-Service
Teachers.” Recherches En Didactique Des Mathématiques, vol. 45, no. 2,
2025, pp. 85–120, doi:10.46298/rdm.14256.
short: M. Hoffmann, Recherches En Didactique Des Mathématiques 45 (2025) 85–120.
date_created: 2024-09-14T08:08:22Z
date_updated: 2026-03-30T13:52:29Z
department:
- _id: '97'
- _id: '643'
doi: 10.46298/rdm.14256
intvolume: ' 45'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://rdm.episciences.org/17761/pdf
oa: '1'
page: 85-120
publication: Recherches en Didactique des Mathématiques
publication_status: published
quality_controlled: '1'
status: public
title: Symmetry as a Topic for the University Education of Pre-Service Teachers
type: journal_article
user_id: '32202'
volume: 45
year: '2025'
...
---
_id: '65246'
author:
- first_name: Max
full_name: Hoffmann, Max
last_name: Hoffmann
citation:
ama: 'Hoffmann M. Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry. In: Bosch M, Bolondi G, Carreira
S, Gaidoschik M, Spagnolo C, eds. Proceedings of the Fourteenth Congress of
the European Society for Research in Mathematics Education (CERME14). Free
University of Bozen-Bolzano and ERME; 2025:2245-2252.'
apa: 'Hoffmann, M. (2025). Using scriptwriting as a response format for interface
tasks: Exemplary analyses in the context of symmetry. In M. Bosch, G. Bolondi,
S. Carreira, M. Gaidoschik, & C. Spagnolo (Eds.), Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14)
(pp. 2245–2252). Free University of Bozen-Bolzano and ERME.'
bibtex: '@inproceedings{Hoffmann_2025, title={Using scriptwriting as a response
format for interface tasks: Exemplary analyses in the context of symmetry}, booktitle={Proceedings
of the Fourteenth Congress of the European Society for Research in Mathematics
Education (CERME14)}, publisher={Free University of Bozen-Bolzano and ERME}, author={Hoffmann,
Max}, editor={Bosch, Marianna and Bolondi, Giorgio and Carreira, Susana and Gaidoschik,
Michael and Spagnolo, Camilla}, year={2025}, pages={2245–2252} }'
chicago: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface
Tasks: Exemplary Analyses in the Context of Symmetry.” In Proceedings of the
Fourteenth Congress of the European Society for Research in Mathematics Education
(CERME14), edited by Marianna Bosch, Giorgio Bolondi, Susana Carreira, Michael
Gaidoschik, and Camilla Spagnolo, 2245–52. Free University of Bozen-Bolzano and
ERME, 2025.'
ieee: 'M. Hoffmann, “Using scriptwriting as a response format for interface tasks:
Exemplary analyses in the context of symmetry,” in Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
2025, pp. 2245–2252.'
mla: 'Hoffmann, Max. “Using Scriptwriting as a Response Format for Interface Tasks:
Exemplary Analyses in the Context of Symmetry.” Proceedings of the Fourteenth
Congress of the European Society for Research in Mathematics Education (CERME14),
edited by Marianna Bosch et al., Free University of Bozen-Bolzano and ERME, 2025,
pp. 2245–52.'
short: 'M. Hoffmann, in: M. Bosch, G. Bolondi, S. Carreira, M. Gaidoschik, C. Spagnolo
(Eds.), Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14), Free University of Bozen-Bolzano and ERME,
2025, pp. 2245–2252.'
date_created: 2026-03-30T14:57:31Z
date_updated: 2026-03-30T15:03:09Z
department:
- _id: '97'
- _id: '643'
editor:
- first_name: Marianna
full_name: Bosch, Marianna
last_name: Bosch
- first_name: Giorgio
full_name: Bolondi, Giorgio
last_name: Bolondi
- first_name: Susana
full_name: Carreira, Susana
last_name: Carreira
- first_name: Michael
full_name: Gaidoschik, Michael
last_name: Gaidoschik
- first_name: Camilla
full_name: Spagnolo, Camilla
last_name: Spagnolo
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.science/CERME14/hal-05237875v1
oa: '1'
page: 2245-2252
publication: Proceedings of the Fourteenth Congress of the European Society for Research
in Mathematics Education (CERME14)
publication_status: published
publisher: Free University of Bozen-Bolzano and ERME
quality_controlled: '1'
status: public
title: 'Using scriptwriting as a response format for interface tasks: Exemplary analyses
in the context of symmetry'
type: conference
user_id: '32202'
year: '2025'
...
---
_id: '53413'
abstract:
- lang: eng
text: "For negatively curved symmetric spaces it is known that the poles of the\r\nscattering
matrices defined via the standard intertwining operators for the\r\nspherical
principal representations of the isometry group are either given as\r\npoles of
the intertwining operators or as quantum resonances, i.e. poles of the\r\nmeromorphically
continued resolvents of the Laplace-Beltrami operator. We\r\nextend this result
to classical locally symmetric spaces of negative curvature\r\nwith convex-cocompact
fundamental group using results of Bunke and Olbrich. The\r\nmethod of proof forces
us to exclude the spectral parameters corresponding to\r\nsingular Poisson transforms."
article_type: original
author:
- first_name: Benjamin
full_name: Delarue, Benjamin
id: '70575'
last_name: Delarue
- first_name: Joachim
full_name: Hilgert, Joachim
id: '220'
last_name: Hilgert
citation:
ama: Delarue B, Hilgert J. Quantum resonances and scattering poles of classical
rank one locally symmetric spaces. Journal of Lie Theory. 35((4)):787--804.
apa: Delarue, B., & Hilgert, J. (n.d.). Quantum resonances and scattering poles
of classical rank one locally symmetric spaces. Journal of Lie Theory,
35((4)), 787--804.
bibtex: '@article{Delarue_Hilgert, title={Quantum resonances and scattering poles
of classical rank one locally symmetric spaces}, volume={35}, number={(4)}, journal={Journal
of Lie Theory}, author={Delarue, Benjamin and Hilgert, Joachim}, pages={787--804}
}'
chicago: 'Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory
35, no. (4) (n.d.): 787--804.'
ieee: B. Delarue and J. Hilgert, “Quantum resonances and scattering poles of classical
rank one locally symmetric spaces,” Journal of Lie Theory, vol. 35, no.
(4), pp. 787--804.
mla: Delarue, Benjamin, and Joachim Hilgert. “Quantum Resonances and Scattering
Poles of Classical Rank One Locally Symmetric Spaces.” Journal of Lie Theory,
vol. 35, no. (4), pp. 787--804.
short: B. Delarue, J. Hilgert, Journal of Lie Theory 35 (n.d.) 787--804.
date_created: 2024-04-11T12:31:18Z
date_updated: 2026-03-31T09:07:17Z
department:
- _id: '548'
intvolume: ' 35'
issue: (4)
language:
- iso: eng
page: 787--804
publication: Journal of Lie Theory
publication_identifier:
issn:
- 0949-5932
publication_status: inpress
status: public
title: Quantum resonances and scattering poles of classical rank one locally symmetric
spaces
type: journal_article
user_id: '220'
volume: 35
year: '2025'
...
---
_id: '65657'
author:
- first_name: Jan Sören
full_name: Hoffmann, Jan Sören
id: '85112'
last_name: Hoffmann
- first_name: Hans-Jürgen
full_name: Stoppel, Hans-Jürgen
id: '101162'
last_name: Stoppel
citation:
ama: Hoffmann JS, Stoppel H-J. Das Sieb des Eratosthenes. mathematik lehren.
2025;(253):8-12.
apa: Hoffmann, J. S., & Stoppel, H.-J. (2025). Das Sieb des Eratosthenes. mathematik
lehren, 253, 8–12.
bibtex: '@article{Hoffmann_Stoppel_2025, title={Das Sieb des Eratosthenes}, number={253},
journal={mathematik lehren}, author={Hoffmann, Jan Sören and Stoppel, Hans-Jürgen},
year={2025}, pages={8–12} }'
chicago: 'Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.”
mathematik lehren, no. 253 (2025): 8–12.'
ieee: J. S. Hoffmann and H.-J. Stoppel, “Das Sieb des Eratosthenes,” mathematik
lehren, no. 253, pp. 8–12, 2025.
mla: Hoffmann, Jan Sören, and Hans-Jürgen Stoppel. “Das Sieb des Eratosthenes.”
mathematik lehren, no. 253, 2025, pp. 8–12.
short: J.S. Hoffmann, H.-J. Stoppel, mathematik lehren (2025) 8–12.
date_created: 2026-05-20T08:00:36Z
date_updated: 2026-05-21T09:24:56Z
department:
- _id: '360'
- _id: '643'
issue: '253'
language:
- iso: ger
page: 8-12
publication: mathematik lehren
publication_status: published
status: public
title: Das Sieb des Eratosthenes
type: journal_article
user_id: '85112'
year: '2025'
...
---
_id: '65713'
author:
- first_name: Hans-Jürgen
full_name: Stoppel, Hans-Jürgen
id: '101162'
last_name: Stoppel
- first_name: Simon
full_name: Plangg, Simon
last_name: Plangg
- first_name: Carina
full_name: Büscher, Carina
last_name: Büscher
citation:
ama: Stoppel H-J, Plangg S, Büscher C. Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt. mathemathik lehren. 2025;(253):2-7.
apa: Stoppel, H.-J., Plangg, S., & Büscher, C. (2025). Mathematik weiterdenken
- Wie informatisches Denken die Mathematik stärkt. mathemathik lehren,
253, 2–7.
bibtex: '@article{Stoppel_Plangg_Büscher_2025, title={Mathematik weiterdenken -
Wie informatisches Denken die Mathematik stärkt}, number={253}, journal={mathemathik
lehren}, publisher={Friedrich Verlag}, author={Stoppel, Hans-Jürgen and Plangg,
Simon and Büscher, Carina}, year={2025}, pages={2–7} }'
chicago: 'Stoppel, Hans-Jürgen, Simon Plangg, and Carina Büscher. “Mathematik weiterdenken
- Wie informatisches Denken die Mathematik stärkt.” mathemathik lehren,
no. 253 (2025): 2–7.'
ieee: H.-J. Stoppel, S. Plangg, and C. Büscher, “Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt,” mathemathik lehren, no. 253, pp. 2–7, 2025.
mla: Stoppel, Hans-Jürgen, et al. “Mathematik weiterdenken - Wie informatisches
Denken die Mathematik stärkt.” mathemathik lehren, no. 253, Friedrich Verlag,
2025, pp. 2–7.
short: H.-J. Stoppel, S. Plangg, C. Büscher, mathemathik lehren (2025) 2–7.
date_created: 2026-05-29T06:12:11Z
date_updated: 2026-05-29T08:44:23Z
department:
- _id: '98'
issue: '253'
language:
- iso: ger
page: 2-7
publication: mathemathik lehren
publication_status: published
publisher: Friedrich Verlag
status: public
title: Mathematik weiterdenken - Wie informatisches Denken die Mathematik stärkt
type: journal_article
user_id: '101162'
year: '2025'
...
---
_id: '64806'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: T.
full_name: Kawakami, T.
last_name: Kawakami
- first_name: E.
full_name: Lampen, E.
last_name: Lampen
- first_name: T.
full_name: Weiland, T.
last_name: Weiland
- first_name: L.
full_name: Zapata-Cardona, L.
last_name: Zapata-Cardona
citation:
ama: 'Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and
data science education as a vehicle for empowering citizens – short summary of
a survey. In: Beswick K, Kaur B, Makar K, Ochoviet C, Venkat H, eds. Proceedings
of the 15th International Congress on Mathematical Education. Vol 1. MERGA;
2025:198-203.'
apa: Biehler, R., Kawakami, T., Lampen, E., Weiland, T., & Zapata-Cardona, L.
(2025). Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey. In K. Beswick, B. Kaur, K. Makar, C. Ochoviet, &
H. Venkat (Eds.), Proceedings of the 15th International Congress on Mathematical
Education (Vol. 1, pp. 198–203). MERGA.
bibtex: '@inbook{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey}, volume={1}, booktitle={Proceedings of the 15th International Congress
on Mathematical Education}, publisher={MERGA}, author={Biehler, Rolf and Kawakami,
T. and Lampen, E. and Weiland, T. and Zapata-Cardona, L.}, editor={Beswick, K.
and Kaur, B. and Makar, K. and Ochoviet, C. and Venkat, H.}, year={2025}, pages={198–203}
}'
chicago: Biehler, Rolf, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona.
“Statistics and Data Science Education as a Vehicle for Empowering Citizens –
Short Summary of a Survey.” In Proceedings of the 15th International Congress
on Mathematical Education, edited by K. Beswick, B. Kaur, K. Makar, C. Ochoviet,
and H. Venkat, 1:198–203. MERGA, 2025.
ieee: R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics
and data science education as a vehicle for empowering citizens – short summary
of a survey,” in Proceedings of the 15th International Congress on Mathematical
Education, vol. 1, K. Beswick, B. Kaur, K. Makar, C. Ochoviet, and H. Venkat,
Eds. MERGA, 2025, pp. 198–203.
mla: Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for
Empowering Citizens – Short Summary of a Survey.” Proceedings of the 15th International
Congress on Mathematical Education, edited by K. Beswick et al., vol. 1, MERGA,
2025, pp. 198–203.
short: 'R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, in: K.
Beswick, B. Kaur, K. Makar, C. Ochoviet, H. Venkat (Eds.), Proceedings of the
15th International Congress on Mathematical Education, MERGA, 2025, pp. 198–203.'
date_created: 2026-03-02T12:18:38Z
date_updated: 2026-07-09T11:23:23Z
department:
- _id: '363'
editor:
- first_name: K.
full_name: Beswick, K.
last_name: Beswick
- first_name: B.
full_name: Kaur, B.
last_name: Kaur
- first_name: K.
full_name: Makar, K.
last_name: Makar
- first_name: C.
full_name: Ochoviet, C.
last_name: Ochoviet
- first_name: H.
full_name: Venkat, H.
last_name: Venkat
intvolume: ' 1'
language:
- iso: eng
page: 198-203
publication: Proceedings of the 15th International Congress on Mathematical Education
publication_status: published
publisher: MERGA
status: public
title: Statistics and data science education as a vehicle for empowering citizens
– short summary of a survey
type: book_chapter
user_id: '37888'
volume: 1
year: '2025'
...
---
_id: '62262'
abstract:
- lang: eng
text: We construct the first examples of chamber-regular lattices on C̃₂-buildings.
Assuming a conjecture of Kantor our list of examples becomes a classification
for chamber-regular C̃₂-lattices on locally-finite C̃₂-buildings. The links of
special vertices in the buildings we construct, are all isomorphic to (the incidence
graph of) the unique generalized quadrangle Q of order (3,5). In particular our
constructions involve chamber-regular actions on Q. These actions on Q are the
first (and if Kantor's conjecture holds the only) chamber-regular actions on a
finite generalized quadrangle and therefore interesting in their own right. Moreover
Q is not Moufang and therefore none of our examples is a Bruhat-Tits building
and all our lattices are exotic building lattices.
author:
- first_name: Franziska
full_name: Stamer, Franziska
id: '121813'
last_name: Stamer
- first_name: 'Thomas '
full_name: 'Titz Mite, Thomas '
last_name: Titz Mite
citation:
ama: Stamer F, Titz Mite T. On Chamber-regular C̃₂-Lattices. Published online 2025.
apa: Stamer, F., & Titz Mite, T. (2025). On Chamber-regular C̃₂-Lattices.
bibtex: '@article{Stamer_Titz Mite_2025, title={On Chamber-regular C̃₂-Lattices},
author={Stamer, Franziska and Titz Mite, Thomas }, year={2025} }'
chicago: Stamer, Franziska, and Thomas Titz Mite. “On Chamber-Regular C̃₂-Lattices,”
2025.
ieee: F. Stamer and T. Titz Mite, “On Chamber-regular C̃₂-Lattices.” 2025.
mla: Stamer, Franziska, and Thomas Titz Mite. On Chamber-Regular C̃₂-Lattices.
2025.
short: F. Stamer, T. Titz Mite, (2025).
date_created: 2025-11-19T15:09:51Z
date_updated: 2026-06-30T10:45:29Z
department:
- _id: '10'
external_id:
arxiv:
- '2511.08312'
language:
- iso: eng
page: '29'
status: public
title: On Chamber-regular C̃₂-Lattices
type: preprint
user_id: '121813'
year: '2025'
...
---
_id: '66278'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Takashi
full_name: Kawakami, Takashi
last_name: Kawakami
- first_name: Erna
full_name: Lampen, Erna
last_name: Lampen
- first_name: Travis
full_name: Weiland, Travis
last_name: Weiland
- first_name: Lucía
full_name: Zapata-Cardona, Lucía
last_name: Zapata-Cardona
citation:
ama: Biehler R, Kawakami T, Lampen E, Weiland T, Zapata-Cardona L. Statistics and
data science education as a vehicle for empowering citizens–short summary of a
survey. European Mathematical Society Magazine. 2025;(136):49–52. doi:10.17619/UNIPB/1-2633
apa: Biehler, R., Kawakami, T., Lampen, E., Weiland, T., & Zapata-Cardona, L.
(2025). Statistics and data science education as a vehicle for empowering citizens–short
summary of a survey. European Mathematical Society Magazine, 136,
49–52. https://doi.org/10.17619/UNIPB/1-2633
bibtex: '@article{Biehler_Kawakami_Lampen_Weiland_Zapata-Cardona_2025, title={Statistics
and data science education as a vehicle for empowering citizens–short summary
of a survey}, DOI={10.17619/UNIPB/1-2633},
number={136}, journal={European Mathematical Society Magazine}, author={Biehler,
Rolf and Kawakami, Takashi and Lampen, Erna and Weiland, Travis and Zapata-Cardona,
Lucía}, year={2025}, pages={49–52} }'
chicago: 'Biehler, Rolf, Takashi Kawakami, Erna Lampen, Travis Weiland, and Lucía
Zapata-Cardona. “Statistics and Data Science Education as a Vehicle for Empowering
Citizens–Short Summary of a Survey.” European Mathematical Society Magazine,
no. 136 (2025): 49–52. https://doi.org/10.17619/UNIPB/1-2633.'
ieee: 'R. Biehler, T. Kawakami, E. Lampen, T. Weiland, and L. Zapata-Cardona, “Statistics
and data science education as a vehicle for empowering citizens–short summary
of a survey,” European Mathematical Society Magazine, no. 136, pp. 49–52,
2025, doi: 10.17619/UNIPB/1-2633.'
mla: Biehler, Rolf, et al. “Statistics and Data Science Education as a Vehicle for
Empowering Citizens–Short Summary of a Survey.” European Mathematical Society
Magazine, no. 136, 2025, pp. 49–52, doi:10.17619/UNIPB/1-2633.
short: R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, European
Mathematical Society Magazine (2025) 49–52.
date_created: 2026-07-06T08:40:10Z
date_updated: 2026-07-06T08:42:10Z
department:
- _id: '363'
doi: 10.17619/UNIPB/1-2633
issue: '136'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.17619/UNIPB/1-2633
oa: '1'
page: 49–52
publication: European Mathematical Society Magazine
status: public
title: Statistics and data science education as a vehicle for empowering citizens–short
summary of a survey
type: journal_article
user_id: '37888'
year: '2025'
...
---
_id: '51208'
abstract:
- lang: eng
text: AbstractApproximation of subdifferentials
is one of the main tasks when computing descent directions for nonsmooth optimization
problems. In this article, we propose a bisection method for weakly lower semismooth
functions which is able to compute new subgradients that improve a given approximation
in case a direction with insufficient descent was computed. Combined with a recently
proposed deterministic gradient sampling approach, this yields a deterministic
and provably convergent way to approximate subdifferentials for computing descent
directions.
author:
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
citation:
ama: Gebken B. A note on the convergence of deterministic gradient sampling in nonsmooth
optimization. Computational Optimization and Applications. Published online
2024. doi:10.1007/s10589-024-00552-0
apa: Gebken, B. (2024). A note on the convergence of deterministic gradient sampling
in nonsmooth optimization. Computational Optimization and Applications.
https://doi.org/10.1007/s10589-024-00552-0
bibtex: '@article{Gebken_2024, title={A note on the convergence of deterministic
gradient sampling in nonsmooth optimization}, DOI={10.1007/s10589-024-00552-0},
journal={Computational Optimization and Applications}, publisher={Springer Science
and Business Media LLC}, author={Gebken, Bennet}, year={2024} }'
chicago: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
in Nonsmooth Optimization.” Computational Optimization and Applications,
2024. https://doi.org/10.1007/s10589-024-00552-0.
ieee: 'B. Gebken, “A note on the convergence of deterministic gradient sampling
in nonsmooth optimization,” Computational Optimization and Applications,
2024, doi: 10.1007/s10589-024-00552-0.'
mla: Gebken, Bennet. “A Note on the Convergence of Deterministic Gradient Sampling
in Nonsmooth Optimization.” Computational Optimization and Applications,
Springer Science and Business Media LLC, 2024, doi:10.1007/s10589-024-00552-0.
short: B. Gebken, Computational Optimization and Applications (2024).
date_created: 2024-02-07T07:23:23Z
date_updated: 2024-02-08T08:05:54Z
department:
- _id: '101'
doi: 10.1007/s10589-024-00552-0
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
language:
- iso: eng
publication: Computational Optimization and Applications
publication_identifier:
issn:
- 0926-6003
- 1573-2894
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A note on the convergence of deterministic gradient sampling in nonsmooth optimization
type: journal_article
user_id: '32643'
year: '2024'
...
---
_id: '46019'
abstract:
- lang: eng
text: We derive efficient algorithms to compute weakly Pareto optimal solutions
for smooth, convex and unconstrained multiobjective optimization problems in general
Hilbert spaces. To this end, we define a novel inertial gradient-like dynamical
system in the multiobjective setting, which trajectories converge weakly to Pareto
optimal solutions. Discretization of this system yields an inertial multiobjective
algorithm which generates sequences that converge weakly to Pareto optimal solutions.
We employ Nesterov acceleration to define an algorithm with an improved convergence
rate compared to the plain multiobjective steepest descent method (Algorithm 1).
A further improvement in terms of efficiency is achieved by avoiding the solution
of a quadratic subproblem to compute a common step direction for all objective
functions, which is usually required in first-order methods. Using a different
discretization of our inertial gradient-like dynamical system, we obtain an accelerated
multiobjective gradient method that does not require the solution of a subproblem
in each step (Algorithm 2). While this algorithm does not converge in general,
it yields good results on test problems while being faster than standard steepest
descent.
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
citation:
ama: Sonntag K, Peitz S. Fast Multiobjective Gradient Methods with Nesterov Acceleration
via Inertial Gradient-Like Systems. Journal of Optimization Theory and Applications.
Published online 2024. doi:10.1007/s10957-024-02389-3
apa: Sonntag, K., & Peitz, S. (2024). Fast Multiobjective Gradient Methods with
Nesterov Acceleration via Inertial Gradient-Like Systems. Journal of Optimization
Theory and Applications. https://doi.org/10.1007/s10957-024-02389-3
bibtex: '@article{Sonntag_Peitz_2024, title={Fast Multiobjective Gradient Methods
with Nesterov Acceleration via Inertial Gradient-Like Systems}, DOI={10.1007/s10957-024-02389-3},
journal={Journal of Optimization Theory and Applications}, publisher={Springer},
author={Sonntag, Konstantin and Peitz, Sebastian}, year={2024} }'
chicago: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient
Methods with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal
of Optimization Theory and Applications, 2024. https://doi.org/10.1007/s10957-024-02389-3.
ieee: 'K. Sonntag and S. Peitz, “Fast Multiobjective Gradient Methods with Nesterov
Acceleration via Inertial Gradient-Like Systems,” Journal of Optimization Theory
and Applications, 2024, doi: 10.1007/s10957-024-02389-3.'
mla: Sonntag, Konstantin, and Sebastian Peitz. “Fast Multiobjective Gradient Methods
with Nesterov Acceleration via Inertial Gradient-Like Systems.” Journal of
Optimization Theory and Applications, Springer, 2024, doi:10.1007/s10957-024-02389-3.
short: K. Sonntag, S. Peitz, Journal of Optimization Theory and Applications (2024).
date_created: 2023-07-12T06:35:58Z
date_updated: 2024-02-21T10:13:33Z
department:
- _id: '101'
- _id: '655'
doi: 10.1007/s10957-024-02389-3
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/content/pdf/10.1007/s10957-024-02389-3.pdf
oa: '1'
publication: Journal of Optimization Theory and Applications
publication_status: published
publisher: Springer
status: public
title: Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial
Gradient-Like Systems
type: journal_article
user_id: '56399'
year: '2024'
...
---
_id: '51334'
abstract:
- lang: eng
text: The efficient optimization method for locally Lipschitz continuous multiobjective
optimization problems from [1] is extended from finite-dimensional problems to
general Hilbert spaces. The method iteratively computes Pareto critical points,
where in each iteration, an approximation of the subdifferential is computed in
an efficient manner and then used to compute a common descent direction for all
objective functions. To prove convergence, we present some new optimality results
for nonsmooth multiobjective optimization problems in Hilbert spaces. Using these,
we can show that every accumulation point of the sequence generated by our algorithm
is Pareto critical under common assumptions. Computational efficiency for finding
Pareto critical points is numerically demonstrated for multiobjective optimal
control of an obstacle problem.
author:
- first_name: Konstantin
full_name: Sonntag, Konstantin
id: '56399'
last_name: Sonntag
orcid: https://orcid.org/0000-0003-3384-3496
- first_name: Bennet
full_name: Gebken, Bennet
id: '32643'
last_name: Gebken
- first_name: Georg
full_name: Müller, Georg
last_name: Müller
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Stefan
full_name: Volkwein, Stefan
last_name: Volkwein
citation:
ama: Sonntag K, Gebken B, Müller G, Peitz S, Volkwein S. A Descent Method for Nonsmooth
Multiobjective Optimization in Hilbert Spaces. arXiv:240206376. Published
online 2024.
apa: Sonntag, K., Gebken, B., Müller, G., Peitz, S., & Volkwein, S. (2024).
A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces.
In arXiv:2402.06376.
bibtex: '@article{Sonntag_Gebken_Müller_Peitz_Volkwein_2024, title={A Descent Method
for Nonsmooth Multiobjective Optimization in Hilbert Spaces}, journal={arXiv:2402.06376},
author={Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian
and Volkwein, Stefan}, year={2024} }'
chicago: Sonntag, Konstantin, Bennet Gebken, Georg Müller, Sebastian Peitz, and
Stefan Volkwein. “A Descent Method for Nonsmooth Multiobjective Optimization in
Hilbert Spaces.” ArXiv:2402.06376, 2024.
ieee: K. Sonntag, B. Gebken, G. Müller, S. Peitz, and S. Volkwein, “A Descent Method
for Nonsmooth Multiobjective Optimization in Hilbert Spaces,” arXiv:2402.06376.
2024.
mla: Sonntag, Konstantin, et al. “A Descent Method for Nonsmooth Multiobjective
Optimization in Hilbert Spaces.” ArXiv:2402.06376, 2024.
short: K. Sonntag, B. Gebken, G. Müller, S. Peitz, S. Volkwein, ArXiv:2402.06376
(2024).
date_created: 2024-02-13T09:35:26Z
date_updated: 2024-02-21T10:21:03Z
department:
- _id: '101'
- _id: '655'
external_id:
arxiv:
- "\t2402.06376"
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2402.06376
oa: '1'
publication: arXiv:2402.06376
status: public
title: A Descent Method for Nonsmooth Multiobjective Optimization in Hilbert Spaces
type: preprint
user_id: '56399'
year: '2024'
...
---
_id: '52691'
abstract:
- lang: eng
text: "We prove Feynman-Kac formulas for the semigroups generated by selfadjoint\r\noperators
in a class containing Fr\\\"ohlich Hamiltonians known from solid state\r\nphysics.
The latter model multi-polarons, i.e., a fixed number of quantum\r\nmechanical
electrons moving in a polarizable crystal and interacting with the\r\nquantized
phonon field generated by the crystal's vibrational modes. Both the\r\nelectrons
and phonons can be confined to suitable open subsets of Euclidean\r\nspace. We
also include possibly very singular magnetic vector potentials and\r\nelectrostatic
potentials. Our Feynman-Kac formulas comprise Fock space\r\noperator-valued multiplicative
functionals and can be applied to every vector\r\nin the underlying Hilbert space.
In comparison to the renormalized Nelson\r\nmodel, for which analogous Feynman-Kac
formulas are known, the analysis of the\r\ncreation and annihilation terms in
the multiplicative functionals requires\r\nnovel ideas to overcome difficulties
caused by the phonon dispersion relation\r\nbeing constant. Getting these terms
under control and generalizing other\r\nconstruction steps so as to cover confined
systems are the main achievements of\r\nthis article."
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 formulas for semigroups generated by multi-polaron
Hamiltonians in magnetic fields and on general domains. arXiv:240312147.
Published online 2024.
apa: Hinrichs, B., & Matte, O. (2024). Feynman-Kac formulas for semigroups generated
by multi-polaron Hamiltonians in magnetic fields and on general domains. In arXiv:2403.12147.
bibtex: '@article{Hinrichs_Matte_2024, title={Feynman-Kac formulas for semigroups
generated by multi-polaron Hamiltonians in magnetic fields and on general domains},
journal={arXiv:2403.12147}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2024}
}'
chicago: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups
Generated by Multi-Polaron Hamiltonians in Magnetic Fields and on General Domains.”
ArXiv:2403.12147, 2024.
ieee: B. Hinrichs and O. Matte, “Feynman-Kac formulas for semigroups generated by
multi-polaron Hamiltonians in magnetic fields and on general domains,” arXiv:2403.12147.
2024.
mla: Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formulas for Semigroups
Generated by Multi-Polaron Hamiltonians in Magnetic Fields and on General Domains.”
ArXiv:2403.12147, 2024.
short: B. Hinrichs, O. Matte, ArXiv:2403.12147 (2024).
date_created: 2024-03-20T14:56:05Z
date_updated: 2024-03-20T14:56:50Z
department:
- _id: '799'
external_id:
arxiv:
- '2403.12147'
language:
- iso: eng
publication: arXiv:2403.12147
status: public
title: Feynman-Kac formulas for semigroups generated by multi-polaron Hamiltonians
in magnetic fields and on general domains
type: preprint
user_id: '99427'
year: '2024'
...
---
_id: '52726'
abstract:
- lang: eng
text: Heteroclinic structures organize global features of dynamical systems. We
analyse whether heteroclinic structures can arise in network dynamics with higher-order
interactions which describe the nonlinear interactions between three or more units.
We find that while commonly analysed model equations such as network dynamics
on undirected hypergraphs may be useful to describe local dynamics such as cluster
synchronization, they give rise to obstructions that allow to design of heteroclinic
structures in phase space. By contrast, directed hypergraphs break the homogeneity
and lead to vector fields that support heteroclinic structures.
article_type: original
author:
- first_name: Christian
full_name: Bick, Christian
last_name: Bick
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
citation:
ama: Bick C, von der Gracht S. Heteroclinic dynamics in network dynamical systems
with higher-order interactions. Journal of Complex Networks. 2024;12(2).
doi:10.1093/comnet/cnae009
apa: Bick, C., & von der Gracht, S. (2024). Heteroclinic dynamics in network
dynamical systems with higher-order interactions. Journal of Complex Networks,
12(2). https://doi.org/10.1093/comnet/cnae009
bibtex: '@article{Bick_von der Gracht_2024, title={Heteroclinic dynamics in network
dynamical systems with higher-order interactions}, volume={12}, DOI={10.1093/comnet/cnae009},
number={2}, journal={Journal of Complex Networks}, publisher={Oxford University
Press (OUP)}, author={Bick, Christian and von der Gracht, Sören}, year={2024}
}'
chicago: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks
12, no. 2 (2024). https://doi.org/10.1093/comnet/cnae009.
ieee: 'C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical
systems with higher-order interactions,” Journal of Complex Networks, vol.
12, no. 2, 2024, doi: 10.1093/comnet/cnae009.'
mla: Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network
Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks,
vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
short: C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
date_created: 2024-03-22T09:04:57Z
date_updated: 2024-03-22T09:11:53Z
ddc:
- '510'
department:
- _id: '101'
doi: 10.1093/comnet/cnae009
external_id:
arxiv:
- '2309.02006'
file:
- access_level: closed
content_type: application/pdf
creator: svdg
date_created: 2024-03-22T09:06:07Z
date_updated: 2024-03-22T09:06:07Z
file_id: '52728'
file_name: heteroclinic-dynamics-in-network-dynamical-systems-with-higher-order-interactions.pdf
file_size: 649155
relation: main_file
success: 1
file_date_updated: 2024-03-22T09:06:07Z
has_accepted_license: '1'
intvolume: ' 12'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- Control and Optimization
- Management Science and Operations Research
- Computer Networks and Communications
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://academic.oup.com/comnet/article-pdf/12/2/cnae009/56832119/cnae009.pdf
oa: '1'
publication: Journal of Complex Networks
publication_identifier:
issn:
- 2051-1329
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Heteroclinic dynamics in network dynamical systems with higher-order interactions
type: journal_article
user_id: '97359'
volume: 12
year: '2024'
...
---
_id: '49905'
abstract:
- lang: eng
text: "For 0 ≤ t ≤ r let m(t, r) be the maximum number s such that every t-edge-connected
r-graph has s pairwise disjoint perfect matchings. There are only a few values
of m(t, r) known, for instance m(3, 3) = m(4, r) = 1, and m(t, r) ≤ r − 2 for
all t \x03 = 5,\r\nand m(t, r) ≤ r − 3 if r is even. We prove that m(2l, r) ≤
3l − 6 for every l ≥ 3 and r ≥ 2l."
author:
- first_name: Yulai
full_name: Ma, Yulai
id: '92748'
last_name: Ma
- first_name: Davide
full_name: Mattiolo, Davide
last_name: Mattiolo
- first_name: Eckhard
full_name: Steffen, Eckhard
id: '15548'
last_name: Steffen
orcid: 0000-0002-9808-7401
- first_name: Isaak Hieronymus
full_name: Wolf, Isaak Hieronymus
id: '88145'
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Edge-Connectivity and Pairwise Disjoint
Perfect Matchings in Regular Graphs. Combinatorica. 2024;44:429-440. doi:10.1007/s00493-023-00078-9
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2024). Edge-Connectivity
and Pairwise Disjoint Perfect Matchings in Regular Graphs. Combinatorica,
44, 429–440. https://doi.org/10.1007/s00493-023-00078-9
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2024, title={Edge-Connectivity and Pairwise
Disjoint Perfect Matchings in Regular Graphs}, volume={44}, DOI={10.1007/s00493-023-00078-9},
journal={Combinatorica}, publisher={Springer Science and Business Media LLC},
author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf, Isaak Hieronymus},
year={2024}, pages={429–440} }'
chicago: 'Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak Hieronymus Wolf.
“Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs.”
Combinatorica 44 (2024): 429–40. https://doi.org/10.1007/s00493-023-00078-9.'
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Edge-Connectivity and Pairwise
Disjoint Perfect Matchings in Regular Graphs,” Combinatorica, vol. 44,
pp. 429–440, 2024, doi: 10.1007/s00493-023-00078-9.'
mla: Ma, Yulai, et al. “Edge-Connectivity and Pairwise Disjoint Perfect Matchings
in Regular Graphs.” Combinatorica, vol. 44, Springer Science and Business
Media LLC, 2024, pp. 429–40, doi:10.1007/s00493-023-00078-9.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 44 (2024) 429–440.
date_created: 2023-12-20T10:31:27Z
date_updated: 2024-03-22T12:11:35Z
department:
- _id: '542'
doi: 10.1007/s00493-023-00078-9
intvolume: ' 44'
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
language:
- iso: eng
page: 429-440
publication: Combinatorica
publication_identifier:
issn:
- 0209-9683
- 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Edge-Connectivity and Pairwise Disjoint Perfect Matchings in Regular Graphs
type: journal_article
user_id: '15540'
volume: 44
year: '2024'
...
---
_id: '53101'
abstract:
- lang: eng
text: In this work, we consider optimal control problems for mechanical systems
with fixed initial and free final state and a quadratic Lagrange term. Specifically,
the dynamics is described by a second order ODE containing an affine control term.
Classically, Pontryagin's maximum principle gives necessary optimality conditions
for the optimal control problem. For smooth problems, alternatively, a variational
approach based on an augmented objective can be followed. Here, we propose a new
Lagrangian approach leading to equivalent necessary optimality conditions in the
form of Euler-Lagrange equations. Thus, the differential geometric structure (similar
to classical Lagrangian dynamics) can be exploited in the framework of optimal
control problems. In particular, the formulation enables the symplectic discretisation
of the optimal control problem via variational integrators in a straightforward
way.
article_type: original
author:
- first_name: Sigrid
full_name: Leyendecker, Sigrid
last_name: Leyendecker
- first_name: Sofya
full_name: Maslovskaya, Sofya
id: '87909'
last_name: Maslovskaya
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Rodrigo T. Sato Martín de
full_name: Almagro, Rodrigo T. Sato Martín de
last_name: Almagro
- first_name: Flóra Orsolya
full_name: Szemenyei, Flóra Orsolya
last_name: Szemenyei
citation:
ama: Leyendecker S, Maslovskaya S, Ober-Blöbaum S, Almagro RTSM de, Szemenyei FO.
A new Lagrangian approach to control affine systems with a quadratic Lagrange
term. Journal of Computational Dynamics. 2024;0(0):0-0. doi:10.3934/jcd.2024017
apa: Leyendecker, S., Maslovskaya, S., Ober-Blöbaum, S., Almagro, R. T. S. M. de,
& Szemenyei, F. O. (2024). A new Lagrangian approach to control affine systems
with a quadratic Lagrange term. Journal of Computational Dynamics, 0(0),
0–0. https://doi.org/10.3934/jcd.2024017
bibtex: '@article{Leyendecker_Maslovskaya_Ober-Blöbaum_Almagro_Szemenyei_2024, title={A
new Lagrangian approach to control affine systems with a quadratic Lagrange term},
volume={0}, DOI={10.3934/jcd.2024017},
number={0}, journal={Journal of Computational Dynamics}, publisher={American Institute
of Mathematical Sciences (AIMS)}, author={Leyendecker, Sigrid and Maslovskaya,
Sofya and Ober-Blöbaum, Sina and Almagro, Rodrigo T. Sato Martín de and Szemenyei,
Flóra Orsolya}, year={2024}, pages={0–0} }'
chicago: 'Leyendecker, Sigrid, Sofya Maslovskaya, Sina Ober-Blöbaum, Rodrigo T.
Sato Martín de Almagro, and Flóra Orsolya Szemenyei. “A New Lagrangian Approach
to Control Affine Systems with a Quadratic Lagrange Term.” Journal of Computational
Dynamics 0, no. 0 (2024): 0–0. https://doi.org/10.3934/jcd.2024017.'
ieee: 'S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R. T. S. M. de Almagro,
and F. O. Szemenyei, “A new Lagrangian approach to control affine systems with
a quadratic Lagrange term,” Journal of Computational Dynamics, vol. 0,
no. 0, pp. 0–0, 2024, doi: 10.3934/jcd.2024017.'
mla: Leyendecker, Sigrid, et al. “A New Lagrangian Approach to Control Affine Systems
with a Quadratic Lagrange Term.” Journal of Computational Dynamics, vol.
0, no. 0, American Institute of Mathematical Sciences (AIMS), 2024, pp. 0–0, doi:10.3934/jcd.2024017.
short: S. Leyendecker, S. Maslovskaya, S. Ober-Blöbaum, R.T.S.M. de Almagro, F.O.
Szemenyei, Journal of Computational Dynamics 0 (2024) 0–0.
date_created: 2024-03-28T15:58:02Z
date_updated: 2024-03-28T16:07:34Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jcd.2024017
has_accepted_license: '1'
issue: '0'
keyword:
- Optimal control problem
- Lagrangian system
- Hamiltonian system
- Variations
- Pontryagin's maximum principle.
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.aimsciences.org/article/doi/10.3934/jcd.2024017
oa: '1'
page: 0-0
publication: Journal of Computational Dynamics
publication_identifier:
issn:
- 2158-2491
- 2158-2505
publication_status: published
publisher: American Institute of Mathematical Sciences (AIMS)
status: public
title: A new Lagrangian approach to control affine systems with a quadratic Lagrange
term
type: journal_article
user_id: '87909'
volume: '0'
year: '2024'
...
---
_id: '52584'
author:
- first_name: Sebastian
full_name: Rezat, Sebastian
id: '31132'
last_name: Rezat
citation:
ama: 'Rezat S. Research on curriculum resources in mathematics education: a survey
of the field. ZDM – Mathematics Education. Published online 2024. doi:10.1007/s11858-024-01559-x'
apa: 'Rezat, S. (2024). Research on curriculum resources in mathematics education:
a survey of the field. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-024-01559-x'
bibtex: '@article{Rezat_2024, title={Research on curriculum resources in mathematics
education: a survey of the field}, DOI={10.1007/s11858-024-01559-x},
journal={ZDM – Mathematics Education}, publisher={Springer}, author={Rezat, Sebastian},
year={2024} }'
chicago: 'Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education:
A Survey of the Field.” ZDM – Mathematics Education, 2024. https://doi.org/10.1007/s11858-024-01559-x.'
ieee: 'S. Rezat, “Research on curriculum resources in mathematics education: a survey
of the field,” ZDM – Mathematics Education, 2024, doi: 10.1007/s11858-024-01559-x.'
mla: 'Rezat, Sebastian. “Research on Curriculum Resources in Mathematics Education:
A Survey of the Field.” ZDM – Mathematics Education, Springer, 2024, doi:10.1007/s11858-024-01559-x.'
short: S. Rezat, ZDM – Mathematics Education (2024).
date_created: 2024-03-15T08:46:00Z
date_updated: 2024-04-18T08:20:42Z
department:
- _id: '360'
doi: 10.1007/s11858-024-01559-x
has_accepted_license: '1'
language:
- iso: eng
publication: ZDM – Mathematics Education
publication_status: epub_ahead
publisher: Springer
status: public
title: 'Research on curriculum resources in mathematics education: a survey of the
field'
type: journal_article
user_id: '31132'
year: '2024'
...