---
_id: '65232'
abstract:
- lang: eng
text: On finite regular graphs, we construct Patterson-Sullivan distributions associated
with eigenfunctions of the discrete Laplace operator via their boundary values
on the phase space. These distributions are closely related to Wigner distributions
defined via a pseudo-differential calculus on graphs, which appear naturally in
the study of quantum chaos. Using a pairing formula, we prove that Patterson-Sullivan
distributions are also related to invariant Ruelle distributions arising from
the transfer operator of the geodesic flow on the shift space. Both relationships
provide discrete analogues of results for compact hyperbolic surfaces obtained
by Anantharaman-Zelditch and by Guillarmou-Hilgert-Weich.
author:
- first_name: Christian
full_name: Arends, Christian
last_name: Arends
- first_name: Guendalina
full_name: Palmirotta, Guendalina
id: '109467'
last_name: Palmirotta
citation:
ama: Arends C, Palmirotta G. Patterson-Sullivan distributions of finite regular
graphs. arXiv:260309779. Published online 2026.
apa: Arends, C., & Palmirotta, G. (2026). Patterson-Sullivan distributions of
finite regular graphs. In arXiv:2603.09779.
bibtex: '@article{Arends_Palmirotta_2026, title={Patterson-Sullivan distributions
of finite regular graphs}, journal={arXiv:2603.09779}, author={Arends, Christian
and Palmirotta, Guendalina}, year={2026} }'
chicago: Arends, Christian, and Guendalina Palmirotta. “Patterson-Sullivan Distributions
of Finite Regular Graphs.” ArXiv:2603.09779, 2026.
ieee: C. Arends and G. Palmirotta, “Patterson-Sullivan distributions of finite regular
graphs,” arXiv:2603.09779. 2026.
mla: Arends, Christian, and Guendalina Palmirotta. “Patterson-Sullivan Distributions
of Finite Regular Graphs.” ArXiv:2603.09779, 2026.
short: C. Arends, G. Palmirotta, ArXiv:2603.09779 (2026).
date_created: 2026-03-30T11:56:04Z
date_updated: 2026-03-30T12:02:56Z
department:
- _id: '548'
- _id: '10'
- _id: '34'
external_id:
arxiv:
- '2603.09779'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2603.09779
oa: '1'
page: '38'
project:
- _id: '358'
name: 'TRR 358; TP B04: Geodätische Flüsse und Weyl Kammer Flüsse auf affinen Gebäuden'
publication: arXiv:2603.09779
status: public
title: Patterson-Sullivan distributions of finite regular graphs
type: preprint
user_id: '109467'
year: '2026'
...
---
_id: '64797'
alternative_title:
- Editorial
citation:
ama: Birk L, Loth G, Jotzo L, Binder K, Frischemeier D, eds. 14th IASE Satellite
Conference “Statistics and Data Science Education in STEAM.” International
Association for Statistics Education; 2026. doi:10.52041/iase25.158
apa: Birk, L., Loth, G., Jotzo, L., Binder, K., & Frischemeier, D. (Eds.). (2026).
14th IASE Satellite Conference “Statistics and Data Science Education in STEAM.”
International Association for Statistics Education. https://doi.org/10.52041/iase25.158
bibtex: '@book{Birk_Loth_Jotzo_Binder_Frischemeier_2026, title={14th IASE Satellite
Conference “Statistics and Data Science Education in STEAM”}, DOI={10.52041/iase25.158},
publisher={International Association for Statistics Education}, year={2026} }'
chicago: Birk, Lisa, Gerrit Loth, Luca Jotzo, Karin Binder, and Daniel Frischemeier,
eds. 14th IASE Satellite Conference “Statistics and Data Science Education
in STEAM.” International Association for Statistics Education, 2026. https://doi.org/10.52041/iase25.158.
ieee: L. Birk, G. Loth, L. Jotzo, K. Binder, and D. Frischemeier, Eds., 14th
IASE Satellite Conference “Statistics and Data Science Education in STEAM.”
International Association for Statistics Education, 2026.
mla: Birk, Lisa, et al., editors. 14th IASE Satellite Conference “Statistics
and Data Science Education in STEAM.” International Association for Statistics
Education, 2026, doi:10.52041/iase25.158.
short: L. Birk, G. Loth, L. Jotzo, K. Binder, D. Frischemeier, eds., 14th IASE Satellite
Conference “Statistics and Data Science Education in STEAM,” International Association
for Statistics Education, 2026.
conference:
end_date: 2025-10-02
location: Münster
name: 14th IASE Satellite Conference "Statistics and Data Science Education in STEAM"
start_date: 2025-09-30
date_created: 2026-03-01T13:18:24Z
date_updated: 2026-04-20T16:19:18Z
ddc:
- '370'
department:
- _id: '979'
doi: 10.52041/iase25.158
editor:
- first_name: Lisa
full_name: Birk, Lisa
last_name: Birk
- first_name: Gerrit
full_name: Loth, Gerrit
last_name: Loth
- first_name: Luca
full_name: Jotzo, Luca
id: '88811'
last_name: Jotzo
orcid: 0009-0003-1440-6466
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
file:
- access_level: closed
content_type: application/pdf
creator: binder
date_created: 2026-04-20T16:18:30Z
date_updated: 2026-04-20T16:18:30Z
file_id: '65467'
file_name: Birk, Loth, Jotzo, Binder, Frischemeier 2025 IASE Satellite Editorial.pdf
file_size: 1447145
relation: main_file
success: 1
file_date_updated: 2026-04-20T16:18:30Z
has_accepted_license: '1'
language:
- iso: eng
publication_status: published
publisher: International Association for Statistics Education
status: public
title: 14th IASE Satellite Conference "Statistics and Data Science Education in STEAM"
type: conference_editor
user_id: '83381'
year: '2026'
...
---
_id: '63135'
abstract:
- lang: eng
text: We propose a definition of Coxeter-Dynkin algebras of canonical type generalising
the definition as a path algebra of a quiver. Moreover, we construct two tilting
objects over the squid algebra - one via generalised APR-tilting and one via one-point-extensions
and reflection functors - and identify their endomorphism algebras with the Coxeter-Dynkin
algebra. This shows that our definition gives another representative in the derived
equivalence class of the squid algebra, and hence of the corresponding canonical
algebra. Finally, we have a closer look at the Grothendieck group and the Euler
form which illustrates the connection to Saito's classification of marked extended
affine root systems. On the other hand, this enables us to prove that in the domestic
case Coxeter-Dynkin algebras are of finite representation type.
author:
- first_name: Daniel
full_name: Perniok, Daniel
id: '64242'
last_name: Perniok
citation:
ama: Perniok D. Coxeter-Dynkin algebras of canonical type. Journal of Pure and
Applied Algebra. 2026;230(5). doi:10.1016/j.jpaa.2026.108250
apa: Perniok, D. (2026). Coxeter-Dynkin algebras of canonical type. Journal of
Pure and Applied Algebra, 230(5). https://doi.org/10.1016/j.jpaa.2026.108250
bibtex: '@article{Perniok_2026, title={Coxeter-Dynkin algebras of canonical type},
volume={230}, DOI={10.1016/j.jpaa.2026.108250},
number={5}, journal={Journal of Pure and Applied Algebra}, author={Perniok, Daniel},
year={2026} }'
chicago: Perniok, Daniel. “Coxeter-Dynkin Algebras of Canonical Type.” Journal
of Pure and Applied Algebra 230, no. 5 (2026). https://doi.org/10.1016/j.jpaa.2026.108250.
ieee: 'D. Perniok, “Coxeter-Dynkin algebras of canonical type,” Journal of Pure
and Applied Algebra, vol. 230, no. 5, 2026, doi: 10.1016/j.jpaa.2026.108250.'
mla: Perniok, Daniel. “Coxeter-Dynkin Algebras of Canonical Type.” Journal of
Pure and Applied Algebra, vol. 230, no. 5, 2026, doi:10.1016/j.jpaa.2026.108250.
short: D. Perniok, Journal of Pure and Applied Algebra 230 (2026).
date_created: 2025-12-16T14:20:09Z
date_updated: 2026-04-23T13:00:59Z
department:
- _id: '602'
doi: 10.1016/j.jpaa.2026.108250
external_id:
arxiv:
- '2509.17887'
intvolume: ' 230'
issue: '5'
language:
- iso: eng
publication: Journal of Pure and Applied Algebra
status: public
title: Coxeter-Dynkin algebras of canonical type
type: journal_article
user_id: '64242'
volume: 230
year: '2026'
...
---
_id: '65512'
abstract:
- lang: eng
text: "Zusammenfassung\r\n Risikokompetenz
beinhaltet auch die Fähigkeit, stochastische Informationen, wie beispielsweise
Anteile und Wahrscheinlichkeiten, richtig zu versprachlichen. Aus der Forschung
zu bedingten Wahrscheinlichkeiten und Bayesianischen Aufgaben ist bekannt, dass
die Nutzung von Visualisierungen und sogenannten „natürlichen Häufigkeiten“ (z. B.
„80 von 100 Personen“) statt Wahrscheinlichkeiten in Prozent Verwechslungen beim
Bestimmen von Wahrscheinlichkeiten eindämmen kann. Über den umgekehrten Prozess
– das Versprachlichen von in Visualisierungen dargestellten Informationen – ist
bisher jedoch wenig bekannt, obwohl diese Versprachlichungen auch für den Aufbau
konzeptuellen Wissen als essentiell angesehen werden. In der vorliegenden Studie
wurde daher untersucht, wie gut Schüler:innen die Versprachlichung von in Visualisierungen
dargestellten Anteilen und natürlichen Häufigkeiten gelingt. Dazu wurde mit 138
Realschüler:innen aus der 9. Jahrgangsstufe ein Papier-und-Bleistift-Test durchgeführt,
bei dem den Teilnehmenden nacheinander je ein (vollständig ausgefülltes) Baumdiagramm
und ein Netzdiagramm präsentiert wurde. Die Schüler:innen sollten die inhaltliche
Bedeutung der in der Visualisierung dargestellten stochastischen Informationen
möglichst genau versprachlichen. Fokus der Studie ist der Einfluss der Visualisierung
(Baumdiagramm vs. Netzdiagramm) und des Informationsformats der Visualisierung
(Anteile in Prozent vs. natürliche Häufigkeiten) auf die richtige Versprachlichung
von verschiedenen Relationstypen (Schnittinformationen vs. bedingte Informationen).
Die Ergebnisse zeigen unter anderem, dass Informationen in natürlichen Häufigkeiten
deutlich besser versprachlicht werden als in Prozenten und dass Schnittinformationen
in Prozent besser anhand von Netzdiagrammen als von Baumdiagrammen versprachlicht
werden. Die gewonnenen Erkenntnisse geben überdies Einblicke in typische (fehlerhafte)
Versprachlichungen von Schüler:innen und könnten als Basis für die Entwicklung
eines sprachsensiblen Unterrichts zu Anteilen und Wahrscheinlichkeiten im schulischen
Stochastikunterricht dienen."
article_number: '5'
author:
- first_name: Michael
full_name: Rößner, Michael
id: '87801'
last_name: Rößner
- first_name: Karin
full_name: Binder, Karin
id: '83381'
last_name: Binder
- first_name: Julian
full_name: Albrecht, Julian
last_name: Albrecht
citation:
ama: Rößner M, Binder K, Albrecht J. Versprachlichung von Anteilen und natürlichen
Häufigkeiten anhand von Baum- und Netzdiagrammen Verbalization of proportions
and natural frequencies based on tree diagrams and net diagrams. Journal für
Mathematik-Didaktik. 2026;47(1). doi:10.1007/s13138-026-00267-1
apa: Rößner, M., Binder, K., & Albrecht, J. (2026). Versprachlichung von Anteilen
und natürlichen Häufigkeiten anhand von Baum- und Netzdiagrammen Verbalization
of proportions and natural frequencies based on tree diagrams and net diagrams.
Journal für Mathematik-Didaktik, 47(1), Article 5. https://doi.org/10.1007/s13138-026-00267-1
bibtex: '@article{Rößner_Binder_Albrecht_2026, title={Versprachlichung von Anteilen
und natürlichen Häufigkeiten anhand von Baum- und Netzdiagrammen Verbalization
of proportions and natural frequencies based on tree diagrams and net diagrams},
volume={47}, DOI={10.1007/s13138-026-00267-1},
number={15}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science
and Business Media LLC}, author={Rößner, Michael and Binder, Karin and Albrecht,
Julian}, year={2026} }'
chicago: Rößner, Michael, Karin Binder, and Julian Albrecht. “Versprachlichung von
Anteilen und natürlichen Häufigkeiten anhand von Baum- und Netzdiagrammen Verbalization
of proportions and natural frequencies based on tree diagrams and net diagrams.”
Journal für Mathematik-Didaktik 47, no. 1 (2026). https://doi.org/10.1007/s13138-026-00267-1.
ieee: 'M. Rößner, K. Binder, and J. Albrecht, “Versprachlichung von Anteilen und
natürlichen Häufigkeiten anhand von Baum- und Netzdiagrammen Verbalization of
proportions and natural frequencies based on tree diagrams and net diagrams,”
Journal für Mathematik-Didaktik, vol. 47, no. 1, Art. no. 5, 2026, doi:
10.1007/s13138-026-00267-1.'
mla: Rößner, Michael, et al. “Versprachlichung von Anteilen und natürlichen Häufigkeiten
anhand von Baum- und Netzdiagrammen Verbalization of proportions and natural frequencies
based on tree diagrams and net diagrams.” Journal für Mathematik-Didaktik,
vol. 47, no. 1, 5, Springer Science and Business Media LLC, 2026, doi:10.1007/s13138-026-00267-1.
short: M. Rößner, K. Binder, J. Albrecht, Journal für Mathematik-Didaktik 47 (2026).
date_created: 2026-04-29T08:25:18Z
date_updated: 2026-04-29T08:29:01Z
ddc:
- '370'
department:
- _id: '983'
doi: 10.1007/s13138-026-00267-1
file:
- access_level: closed
content_type: application/pdf
creator: binder
date_created: 2026-04-29T08:28:25Z
date_updated: 2026-04-29T08:28:25Z
file_id: '65514'
file_name: Rößner Binder Albrecht 2026 Versprachlichung von Anteilen und natürlichen
Häufigkeiten anhand von Baum- und Netzdiagrammen.pdf
file_size: 2993685
relation: main_file
success: 1
file_date_updated: 2026-04-29T08:28:25Z
has_accepted_license: '1'
intvolume: ' 47'
issue: '1'
language:
- iso: ger
publication: Journal für Mathematik-Didaktik
publication_identifier:
issn:
- 0173-5322
- 1869-2699
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Versprachlichung von Anteilen und natürlichen Häufigkeiten anhand von Baum-
und Netzdiagrammen Verbalization of proportions and natural frequencies based on
tree diagrams and net diagrams
type: journal_article
user_id: '83381'
volume: 47
year: '2026'
...
---
_id: '61759'
abstract:
- lang: eng
text: 'Intersection distribution and non-hitting index are concepts introduced recently
by Li and Pott as a new way to view the behaviour of a collection of finite field
polynomials. With both an algebraic interpretation via the intersection of a polynomial
with a set of lines, and a geometric interpretation via a (q+1)-set possessing
an internal nucleus, the concepts have proved their usefulness as a new way to
view various long-standing problems, and have applications in areas such as Kakeya
sets. In this paper, by exploiting connections with diverse areas including the
theory of algebraic curves, cyclotomy and the enumeration of irreducible polynomials,
we establish new results and resolve various Open Problems of Li and Pott. We
prove geometric results which shed new light on the relationship between intersection
distribution and projective equivalence of polynomials, and algebraic results
which describe and characterise the degree of Sf - the index of the largest non-zero
entry in the intersection distribution of f. We provide new insights into the
non-hitting spectrum, and show the limitations of the non-hitting index as a tool
for characterisation. Finally, the benefits provided by the connections to other
areas are evidenced in two short new proofs of the cubic case. '
article_number: '102828'
article_type: original
author:
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
- first_name: Sophie
full_name: Huczynska, Sophie
last_name: Huczynska
- first_name: Maura
full_name: Paterson, Maura
last_name: Paterson
citation:
ama: 'Klawuhn L-AD, Huczynska S, Paterson M. The Intersection Distribution: New
Results and Perspectives. Finite Fields and Their Applications. 2026;114.
doi:10.1016/j.ffa.2026.102828'
apa: 'Klawuhn, L.-A. D., Huczynska, S., & Paterson, M. (2026). The Intersection
Distribution: New Results and Perspectives. Finite Fields and Their Applications,
114, Article 102828. https://doi.org/10.1016/j.ffa.2026.102828'
bibtex: '@article{Klawuhn_Huczynska_Paterson_2026, title={The Intersection Distribution:
New Results and Perspectives}, volume={114}, DOI={10.1016/j.ffa.2026.102828},
number={102828}, journal={Finite Fields and Their Applications}, publisher={Elsevier},
author={Klawuhn, Lukas-André Dominik and Huczynska, Sophie and Paterson, Maura},
year={2026} }'
chicago: 'Klawuhn, Lukas-André Dominik, Sophie Huczynska, and Maura Paterson. “The
Intersection Distribution: New Results and Perspectives.” Finite Fields and
Their Applications 114 (2026). https://doi.org/10.1016/j.ffa.2026.102828.'
ieee: 'L.-A. D. Klawuhn, S. Huczynska, and M. Paterson, “The Intersection Distribution:
New Results and Perspectives,” Finite Fields and Their Applications, vol.
114, Art. no. 102828, 2026, doi: 10.1016/j.ffa.2026.102828.'
mla: 'Klawuhn, Lukas-André Dominik, et al. “The Intersection Distribution: New Results
and Perspectives.” Finite Fields and Their Applications, vol. 114, 102828,
Elsevier, 2026, doi:10.1016/j.ffa.2026.102828.'
short: L.-A.D. Klawuhn, S. Huczynska, M. Paterson, Finite Fields and Their Applications
114 (2026).
date_created: 2025-10-08T14:52:20Z
date_updated: 2026-05-06T15:08:06Z
department:
- _id: '100'
doi: 10.1016/j.ffa.2026.102828
intvolume: ' 114'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.sciencedirect.com/science/article/pii/S1071579726000390
oa: '1'
publication: Finite Fields and Their Applications
publisher: Elsevier
status: public
title: 'The Intersection Distribution: New Results and Perspectives'
type: journal_article
user_id: '91965'
volume: 114
year: '2026'
...
---
_id: '65631'
abstract:
- lang: eng
text: "Abstract\r\n \r\n Mathematics
textbooks used to be the key resource for students’ self-regulated learning of
mathematics. Primarily due to the digitalization of society, students have potentially
greater access to a wider range of resources such as internet search engines,
learning platforms, educational videos, and Generative AI. This study investigates
the role of the mathematics textbook in comparison to other resources within students’
self-regulated learning practices. Data were collected via a survey of 1101 German
secondary students, representing three school types (\r\n Gymnasium\r\n
\ ,\r\n Gesamtschule\r\n
\ ,\r\n Realschule\r\n
\ ) and three grade levels (6, 9, and upper secondary). The
questionnaire assessed the frequency of resource use in and outside class, reasons
and purposes of use, and resource-based strategies when facing learning challenges
outside class. Results show that the printed mathematics textbook is the most
frequently used resource both in class and outside class. The textbook remains
the most relevant resource for key purposes, such as an aid for doing homework
and preparing for tests and exams. However, its dominance diminishes with age:
in upper secondary school, students increasingly rely on self-created notes, and
online resources. Correlation analyses reveal moderate to strong links between
in-class and out-of-class use, suggesting an association between resource use
and classroom culture. The findings underscore the textbook’s enduring centrality
as a foundational, trusted resource within a dynamic and increasingly diverse
learning environment. This study calls for pedagogical approaches that integrate
textbooks more intentionally within broader resource systems, supporting students’
agency and strategic resource selection in an era of digital abundance.\r\n "
article_type: original
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. The role of the mathematics textbook in times of resource
diversity. Educational Studies in Mathematics. Published online 2026. doi:10.1007/s10649-026-10511-7
apa: Stallmeister, L., & Rezat, S. (2026). The role of the mathematics textbook
in times of resource diversity. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-026-10511-7
bibtex: '@article{Stallmeister_Rezat_2026, title={The role of the mathematics textbook
in times of resource diversity}, DOI={10.1007/s10649-026-10511-7},
journal={Educational Studies in Mathematics}, publisher={Springer Science and
Business Media LLC}, author={Stallmeister, Lea and Rezat, Sebastian}, year={2026}
}'
chicago: Stallmeister, Lea, and Sebastian Rezat. “The Role of the Mathematics Textbook
in Times of Resource Diversity.” Educational Studies in Mathematics, 2026.
https://doi.org/10.1007/s10649-026-10511-7.
ieee: 'L. Stallmeister and S. Rezat, “The role of the mathematics textbook in times
of resource diversity,” Educational Studies in Mathematics, 2026, doi:
10.1007/s10649-026-10511-7.'
mla: Stallmeister, Lea, and Sebastian Rezat. “The Role of the Mathematics Textbook
in Times of Resource Diversity.” Educational Studies in Mathematics, Springer
Science and Business Media LLC, 2026, doi:10.1007/s10649-026-10511-7.
short: L. Stallmeister, S. Rezat, Educational Studies in Mathematics (2026).
date_created: 2026-05-17T14:32:31Z
date_updated: 2026-05-17T14:40:54Z
ddc:
- '370'
department:
- _id: '360'
doi: 10.1007/s10649-026-10511-7
keyword:
- mathematics
- textbooks
- userstudy
- resources
- digital resources
- students
- secondary eduction
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s10649-026-10511-7
oa: '1'
publication: Educational Studies in Mathematics
publication_identifier:
issn:
- 0013-1954
- 1573-0816
publication_status: published
publisher: Springer Science and Business Media LLC
quality_controlled: '1'
status: public
title: The role of the mathematics textbook in times of resource diversity
type: journal_article
user_id: '31132'
year: '2026'
...
---
_id: '65630'
abstract:
- lang: eng
text: 'Mathematics textbooks used to be the key resource for students’ self-regulated
learning of mathematics. Primarily due to the digitalization of society, students
have potentially greater access to a wider range of resources such as internet
search engines, learning platforms, educational videos, and Generative AI. This
study investigates the role of the mathematics textbook in comparison to other
resources within students’ self-regulated learning practices. Data were collected
via a survey of 1101 German secondary students, representing three school types
(Gymnasium, Gesamtschule, Realschule) and three grade levels (6, 9, and upper
secondary). The questionnaire assessed the frequency of resource use in and outside
class, reasons and purposes of use, and resource-based strategies when facing
learning challenges outside class. Results show that the printed mathematics textbook
is the most frequently used resource both in class and outside class. The textbook
remains the most relevant resource for key purposes, such as an aid for doing
homework and preparing for tests and exams. However, its dominance diminishes
with age: in upper secondary school, students increasingly rely on self-created
notes, and online resources. Correlation analyses reveal moderate to strong links
between in-class and out-of-class use, suggesting an association between resource
use and classroom culture. The findings underscore the textbook’s enduring centrality
as a foundational, trusted resource within a dynamic and increasingly diverse
learning environment. This study calls for pedagogical approaches that integrate
textbooks more intentionally within broader resource systems, supporting students’
agency and strategic resource selection in an era of digital abundance.'
author:
- first_name: Lea
full_name: Stallmeister, Lea
last_name: Stallmeister
- first_name: Sebastian
full_name: Rezat, Sebastian
last_name: Rezat
citation:
ama: Stallmeister L, Rezat S. The role of the mathematics textbook in times of resource
diversity. Educational Studies in Mathematics. Published online 2026. doi:10.1007/s10649-026-10511-7
apa: Stallmeister, L., & Rezat, S. (2026). The role of the mathematics textbook
in times of resource diversity. Educational Studies in Mathematics. https://doi.org/10.1007/s10649-026-10511-7
bibtex: '@article{Stallmeister_Rezat_2026, title={The role of the mathematics textbook
in times of resource diversity}, DOI={10.1007/s10649-026-10511-7},
journal={Educational Studies in Mathematics}, publisher={Springer}, author={Stallmeister,
Lea and Rezat, Sebastian}, year={2026} }'
chicago: Stallmeister, Lea, and Sebastian Rezat. “The Role of the Mathematics Textbook
in Times of Resource Diversity.” Educational Studies in Mathematics, 2026.
https://doi.org/10.1007/s10649-026-10511-7.
ieee: 'L. Stallmeister and S. Rezat, “The role of the mathematics textbook in times
of resource diversity,” Educational Studies in Mathematics, 2026, doi:
10.1007/s10649-026-10511-7.'
mla: Stallmeister, Lea, and Sebastian Rezat. “The Role of the Mathematics Textbook
in Times of Resource Diversity.” Educational Studies in Mathematics, Springer,
2026, doi:10.1007/s10649-026-10511-7.
short: L. Stallmeister, S. Rezat, Educational Studies in Mathematics (2026).
date_created: 2026-05-16T14:27:57Z
date_updated: 2026-05-16T14:33:38Z
department:
- _id: '98'
doi: 10.1007/s10649-026-10511-7
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s10649-026-10511-7
oa: '1'
publication: Educational Studies in Mathematics
publication_status: published
publisher: Springer
status: public
title: The role of the mathematics textbook in times of resource diversity
type: journal_article
user_id: '63369'
year: '2026'
...
---
_id: '65645'
abstract:
- lang: eng
text: Curriculum material is often designed to address content-specific
intended learning goals. However, research indicates that teachers’ personal goals
may cause misalignments between their implementation of curriculum material and
its intended learning goals. This study aims to investigate misalignments between
teachers’ implementation of curriculum material and its intended learning goals
and to which extent they are caused by teachers’ personal goals. To reach this
aim, a qualitative study was conducted to examine how eight vocational school
teachers implemented the learning activity “How many?” suggested for the initial
training of early childhood educators on the topic of set perception and determination
of cardinality. Each participant provided a lesson plan and self-recorded lesson
video on the topic of set perception and determination of cardinality. In addition,
participants were interviewed on how they used the provided curriculum material
for designing their lessons and their potential reasons to adapt or omit “How
many?”. To evaluate their lesson design’s alignment with the activity’s intended
learning goals, the participants' lesson plans were analyzed using qualitative
content analysis. Triangulation of the findings with the interview data revealed
that only one participant fully adopted the intended learning goals as her own
and implemented the activity completely in line with its intended learning goals.
Meanwhile, the remaining participants’ personal goals, such as reducing math anxiety,
seemed to cause misalignments regarding the intended learning goals. The study's
results detail further constraints and affordances to the alignment between teachers’
lesson designs and learning goals intended by curriculum material. It is followed
that it is central to support teachers in adopting intended learning goals as
their personal goals. Otherwise, teachers’ classroom implementation of curriculum
material may not suffice to reach desired outcomes.
article_number: em0883
author:
- first_name: Alix
full_name: Richter, Alix
id: '93186'
last_name: Richter
- first_name: Julia
full_name: Bruns, Julia
id: '72183'
last_name: Bruns
orcid: https://orcid.org/0000-0002-6604-5864
citation:
ama: Richter A, Bruns J. All a question of the goal? Re-tracing (mis)alignments
between teachers’ implementations of curriculum material and intended learning
goals in the context of early childhood educator training in Germany. International
Electronic Journal of Mathematics Education. 2026;21(2). doi:10.29333/iejme/18564
apa: Richter, A., & Bruns, J. (2026). All a question of the goal? Re-tracing
(mis)alignments between teachers’ implementations of curriculum material and intended
learning goals in the context of early childhood educator training in Germany.
International Electronic Journal of Mathematics Education, 21(2),
Article em0883. https://doi.org/10.29333/iejme/18564
bibtex: '@article{Richter_Bruns_2026, title={All a question of the goal? Re-tracing
(mis)alignments between teachers’ implementations of curriculum material and intended
learning goals in the context of early childhood educator training in Germany},
volume={21}, DOI={10.29333/iejme/18564},
number={2em0883}, journal={International Electronic Journal of Mathematics Education},
publisher={Modestum Ltd}, author={Richter, Alix and Bruns, Julia}, year={2026}
}'
chicago: Richter, Alix, and Julia Bruns. “All a Question of the Goal? Re-Tracing
(Mis)Alignments between Teachers’ Implementations of Curriculum Material and Intended
Learning Goals in the Context of Early Childhood Educator Training in Germany.”
International Electronic Journal of Mathematics Education 21, no. 2 (2026).
https://doi.org/10.29333/iejme/18564.
ieee: 'A. Richter and J. Bruns, “All a question of the goal? Re-tracing (mis)alignments
between teachers’ implementations of curriculum material and intended learning
goals in the context of early childhood educator training in Germany,” International
Electronic Journal of Mathematics Education, vol. 21, no. 2, Art. no. em0883,
2026, doi: 10.29333/iejme/18564.'
mla: Richter, Alix, and Julia Bruns. “All a Question of the Goal? Re-Tracing (Mis)Alignments
between Teachers’ Implementations of Curriculum Material and Intended Learning
Goals in the Context of Early Childhood Educator Training in Germany.” International
Electronic Journal of Mathematics Education, vol. 21, no. 2, em0883, Modestum
Ltd, 2026, doi:10.29333/iejme/18564.
short: A. Richter, J. Bruns, International Electronic Journal of Mathematics Education
21 (2026).
date_created: 2026-05-19T13:52:04Z
date_updated: 2026-05-19T14:00:34Z
department:
- _id: '611'
doi: 10.29333/iejme/18564
intvolume: ' 21'
issue: '2'
language:
- iso: eng
publication: International Electronic Journal of Mathematics Education
publication_identifier:
issn:
- 1306-3030
publication_status: published
publisher: Modestum Ltd
status: public
title: All a question of the goal? Re-tracing (mis)alignments between teachers’ implementations
of curriculum material and intended learning goals in the context of early childhood
educator training in Germany
type: journal_article
user_id: '72183'
volume: 21
year: '2026'
...
---
_id: '64211'
author:
- first_name: Vivien
full_name: Wiebe, Vivien
id: '77748'
last_name: Wiebe
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
citation:
ama: 'Wiebe V, Häsel-Weide U. Initiating and establishing mathematical practices
of determining and transforming numbers as a foundational skill in fostering mathematics
teaching. In: Mosvold R, Fauskanger J, Ferretti F, Vondrová N, Charles University,
Faculty of Education and ERME, eds. Proceedings of the Nineteenth ERME Topic
Conference: Connecting the Learning of Mathematics Teaching to Practice. ;
2026:122-129.'
apa: 'Wiebe, V., & Häsel-Weide, U. (2026). Initiating and establishing mathematical
practices of determining and transforming numbers as a foundational skill in fostering
mathematics teaching. In R. Mosvold, J. Fauskanger, F. Ferretti, N. Vondrová,
& Charles University, Faculty of Education and ERME (Eds.), Proceedings
of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics
Teaching to Practice (pp. 122–129).'
bibtex: '@inproceedings{Wiebe_Häsel-Weide_2026, place={Prag}, title={ Initiating
and establishing mathematical practices of determining and transforming numbers
as a foundational skill in fostering mathematics teaching}, booktitle={Proceedings
of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics
Teaching to Practice}, author={Wiebe, Vivien and Häsel-Weide, Uta}, editor={Mosvold,
R. and Fauskanger, J. and Ferretti, F. and Vondrová, N. and Charles University,
Faculty of Education and ERME}, year={2026}, pages={122–129} }'
chicago: 'Wiebe, Vivien, and Uta Häsel-Weide. “ Initiating and Establishing Mathematical
Practices of Determining and Transforming Numbers as a Foundational Skill in Fostering
Mathematics Teaching.” In Proceedings of the Nineteenth ERME Topic Conference:
Connecting the Learning of Mathematics Teaching to Practice, edited by R.
Mosvold, J. Fauskanger, F. Ferretti, N. Vondrová, and Charles University, Faculty
of Education and ERME, 122–29. Prag, 2026.'
ieee: 'V. Wiebe and U. Häsel-Weide, “ Initiating and establishing mathematical practices
of determining and transforming numbers as a foundational skill in fostering mathematics
teaching,” in Proceedings of the Nineteenth ERME Topic Conference: Connecting
the Learning of Mathematics Teaching to Practice, Prag, 2026, pp. 122–129.'
mla: 'Wiebe, Vivien, and Uta Häsel-Weide. “ Initiating and Establishing Mathematical
Practices of Determining and Transforming Numbers as a Foundational Skill in Fostering
Mathematics Teaching.” Proceedings of the Nineteenth ERME Topic Conference:
Connecting the Learning of Mathematics Teaching to Practice, edited by R.
Mosvold et al., 2026, pp. 122–29.'
short: 'V. Wiebe, U. Häsel-Weide, in: R. Mosvold, J. Fauskanger, F. Ferretti, N.
Vondrová, Charles University, Faculty of Education and ERME (Eds.), Proceedings
of the Nineteenth ERME Topic Conference: Connecting the Learning of Mathematics
Teaching to Practice, Prag, 2026, pp. 122–129.'
conference:
location: Prag
name: Nineteenth ERME Topic Conference
corporate_editor:
- Charles University, Faculty of Education and ERME
date_created: 2026-02-18T10:41:23Z
date_updated: 2026-05-26T07:56:19Z
department:
- _id: '543'
editor:
- first_name: R.
full_name: Mosvold, R.
last_name: Mosvold
- first_name: J.
full_name: Fauskanger, J.
last_name: Fauskanger
- first_name: F.
full_name: Ferretti, F.
last_name: Ferretti
- first_name: N.
full_name: Vondrová, N.
last_name: Vondrová
language:
- iso: eng
page: 122-129
place: Prag
publication: 'Proceedings of the Nineteenth ERME Topic Conference: Connecting the
Learning of Mathematics Teaching to Practice'
related_material:
link:
- relation: confirmation
url: https://hal.science/hal-05463964v1
status: public
title: ' Initiating and establishing mathematical practices of determining and transforming
numbers as a foundational skill in fostering mathematics teaching'
type: conference
user_id: '44184'
year: '2026'
...
---
_id: '65745'
abstract:
- lang: eng
text: "Abstract\r\n In this work,
we address the numerical identification of entanglement in dynamical scenarios.
To this end, we consider different programs based on the restriction of the evolution
to the set of separable (i.e., non-entangled) states, together with the discretization
of the space of variables for numerical computations. As a first approach, we
apply linear splitting methods to the restricted, continuous equations of motion
derived from variational principles. We utilize an exchange interaction Hamiltonian
to confirm that the numerical and analytical solutions coincide in the limit of
small time steps. The application to different Hamiltonians shows the wide applicability
of the method to detect dynamical entanglement. To avoid the derivation of analytical
solutions for complex dynamics, we consider variational, numerical integration
schemes, introducing a variational discretization for Lagrangians linear in velocities.
Here, we examine and compare two approaches: one in which the system is discretized
before the restriction is applied, and another in which the restriction precedes
the discretization. We find that the \"first-discretize-then-restrict\" method
becomes numerically unstable, already for the example of an exchange-interaction
Hamiltonian, which can be an important consideration for the numerical analysis
of constrained quantum dynamics. Thereby, broadly applicable numerical tools,
including their limitations, for studying entanglement over time are established
for assessing the entangling power of processes that are used in quantum information
theory."
author:
- first_name: Christian
full_name: Offen, Christian
last_name: Offen
- first_name: Boris
full_name: Wembe, Boris
last_name: Wembe
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Jan
full_name: Sperling, Jan
last_name: Sperling
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Wembe B, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches
to entangling dynamics from variational principles. Journal of Physics A: Mathematical
and Theoretical. Published online 2026. doi:10.1088/1751-8121/ae6d51'
apa: 'Offen, C., Wembe, B., Ares, L., Sperling, J., & Ober-Blöbaum, S. (2026).
Numerical approaches to entangling dynamics from variational principles. Journal
of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ae6d51'
bibtex: '@article{Offen_Wembe_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical
approaches to entangling dynamics from variational principles}, DOI={10.1088/1751-8121/ae6d51},
journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing},
author={Offen, Christian and Wembe, Boris and Ares, Laura and Sperling, Jan and
Ober-Blöbaum, Sina}, year={2026} }'
chicago: 'Offen, Christian, Boris Wembe, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum.
“Numerical Approaches to Entangling Dynamics from Variational Principles.” Journal
of Physics A: Mathematical and Theoretical, 2026. https://doi.org/10.1088/1751-8121/ae6d51.'
ieee: 'C. Offen, B. Wembe, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical
approaches to entangling dynamics from variational principles,” Journal of
Physics A: Mathematical and Theoretical, 2026, doi: 10.1088/1751-8121/ae6d51.'
mla: 'Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from
Variational Principles.” Journal of Physics A: Mathematical and Theoretical,
IOP Publishing, 2026, doi:10.1088/1751-8121/ae6d51.'
short: 'C. Offen, B. Wembe, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics
A: Mathematical and Theoretical (2026).'
date_created: 2026-06-01T09:36:09Z
date_updated: 2026-06-01T09:36:17Z
department:
- _id: '94'
doi: 10.1088/1751-8121/ae6d51
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
issn:
- 1751-8113
- 1751-8121
publication_status: published
publisher: IOP Publishing
status: public
title: Numerical approaches to entangling dynamics from variational principles
type: journal_article
user_id: '95394'
year: '2026'
...
---
_id: '65742'
abstract:
- lang: eng
text: "Abstract\r\n In this work,
we address the numerical identification of entanglement in dynamical scenarios.
To this end, we consider different programs based on the restriction of the evolution
to the set of separable (i.e., non-entangled) states, together with the discretization
of the space of variables for numerical computations. As a first approach, we
apply linear splitting methods to the restricted, continuous equations of motion
derived from variational principles. We utilize an exchange interaction Hamiltonian
to confirm that the numerical and analytical solutions coincide in the limit of
small time steps. The application to different Hamiltonians shows the wide applicability
of the method to detect dynamical entanglement. To avoid the derivation of analytical
solutions for complex dynamics, we consider variational, numerical integration
schemes, introducing a variational discretization for Lagrangians linear in velocities.
Here, we examine and compare two approaches: one in which the system is discretized
before the restriction is applied, and another in which the restriction precedes
the discretization. We find that the \"first-discretize-then-restrict\" method
becomes numerically unstable, already for the example of an exchange-interaction
Hamiltonian, which can be an important consideration for the numerical analysis
of constrained quantum dynamics. Thereby, broadly applicable numerical tools,
including their limitations, for studying entanglement over time are established
for assessing the entangling power of processes that are used in quantum information
theory."
author:
- first_name: Christian
full_name: Offen, Christian
last_name: Offen
- first_name: Boris
full_name: Wembe, Boris
last_name: Wembe
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Jan
full_name: Sperling, Jan
last_name: Sperling
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Wembe B, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches
to entangling dynamics from variational principles. Journal of Physics A: Mathematical
and Theoretical. Published online 2026. doi:10.1088/1751-8121/ae6d51'
apa: 'Offen, C., Wembe, B., Ares, L., Sperling, J., & Ober-Blöbaum, S. (2026).
Numerical approaches to entangling dynamics from variational principles. Journal
of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ae6d51'
bibtex: '@article{Offen_Wembe_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical
approaches to entangling dynamics from variational principles}, DOI={10.1088/1751-8121/ae6d51},
journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing},
author={Offen, Christian and Wembe, Boris and Ares, Laura and Sperling, Jan and
Ober-Blöbaum, Sina}, year={2026} }'
chicago: 'Offen, Christian, Boris Wembe, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum.
“Numerical Approaches to Entangling Dynamics from Variational Principles.” Journal
of Physics A: Mathematical and Theoretical, 2026. https://doi.org/10.1088/1751-8121/ae6d51.'
ieee: 'C. Offen, B. Wembe, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical
approaches to entangling dynamics from variational principles,” Journal of
Physics A: Mathematical and Theoretical, 2026, doi: 10.1088/1751-8121/ae6d51.'
mla: 'Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from
Variational Principles.” Journal of Physics A: Mathematical and Theoretical,
IOP Publishing, 2026, doi:10.1088/1751-8121/ae6d51.'
short: 'C. Offen, B. Wembe, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics
A: Mathematical and Theoretical (2026).'
date_created: 2026-06-01T09:29:01Z
date_updated: 2026-06-01T09:29:29Z
department:
- _id: '94'
doi: 10.1088/1751-8121/ae6d51
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
issn:
- 1751-8113
- 1751-8121
publication_status: published
publisher: IOP Publishing
status: public
title: Numerical approaches to entangling dynamics from variational principles
type: journal_article
user_id: '95394'
year: '2026'
...
---
_id: '65746'
abstract:
- lang: eng
text: This paper presents a class of structure-preserving numerical methods for
quantum optimal control problems, based on commutator-free Cayley integrators.
Starting from the Krotov framework, we reformulate the forward and backward propagation
steps using Cayley-type schemes that preserve unitarity and symmetry at the discrete
level. This approach eliminates the need for matrix exponentials and commutators,
leading to significant computational savings while maintaining higher-order accuracy.
We first recall the standard linear setting and then extend the formulation to
nonlinear Schrödinger and Gross-Pitaevskii equations using a Cayley-polynomial
interpolation strategy. Numerical experiments on state-transfer problems illustrate
that the CF-Cayley method achieves the same accuracy as high-order exponential
or Cayley-Magnus schemes at substantially lower cost, especially for longtime
or highly oscillatory dynamics. In the nonlinear regime, the structure-preserving
properties of the method ensure stability and norm conservation, making it a robust
tool for large-scale quantum control simulations. The proposed framework thus
bridges geometric integration and optimal control, offering an efficient and reliable
alternative to existing exponential-based propagators.
author:
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
orcid: 0000-0002-6085-8071
- first_name: Usman
full_name: Ali, Usman
last_name: Ali
- first_name: Torsten
full_name: Meier, Torsten
id: '344'
last_name: Meier
orcid: 0000-0001-8864-2072
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: 'Wembe Moafo BE, Ali U, Meier T, Ober-Blöbaum S. Cayley Commutator-free Methods
for Krotov-Type Algorithms in Quantum Optimal Control. In: ; 2026. doi:10.48550/ARXIV.2603.11697'
apa: Wembe Moafo, B. E., Ali, U., Meier, T., & Ober-Blöbaum, S. (2026). Cayley
Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal Control.
European Control Conference, Reykjavík, Iceland. https://doi.org/10.48550/ARXIV.2603.11697
bibtex: '@inproceedings{Wembe Moafo_Ali_Meier_Ober-Blöbaum_2026, title={Cayley Commutator-free
Methods for Krotov-Type Algorithms in Quantum Optimal Control}, DOI={10.48550/ARXIV.2603.11697},
author={Wembe Moafo, Boris Edgar and Ali, Usman and Meier, Torsten and Ober-Blöbaum,
Sina}, year={2026} }'
chicago: Wembe Moafo, Boris Edgar, Usman Ali, Torsten Meier, and Sina Ober-Blöbaum.
“Cayley Commutator-Free Methods for Krotov-Type Algorithms in Quantum Optimal
Control,” 2026. https://doi.org/10.48550/ARXIV.2603.11697.
ieee: 'B. E. Wembe Moafo, U. Ali, T. Meier, and S. Ober-Blöbaum, “Cayley Commutator-free
Methods for Krotov-Type Algorithms in Quantum Optimal Control,” presented at the
European Control Conference, Reykjavík, Iceland, 2026, doi: 10.48550/ARXIV.2603.11697.'
mla: Wembe Moafo, Boris Edgar, et al. Cayley Commutator-Free Methods for Krotov-Type
Algorithms in Quantum Optimal Control. 2026, doi:10.48550/ARXIV.2603.11697.
short: 'B.E. Wembe Moafo, U. Ali, T. Meier, S. Ober-Blöbaum, in: 2026.'
conference:
end_date: 2026-07-10
location: Reykjavík, Iceland
name: European Control Conference
start_date: 2026-07-07
date_created: 2026-06-01T09:38:06Z
date_updated: 2026-06-01T09:40:38Z
department:
- _id: '94'
doi: 10.48550/ARXIV.2603.11697
language:
- iso: eng
status: public
title: Cayley Commutator-free Methods for Krotov-Type Algorithms in Quantum Optimal
Control
type: conference
user_id: '95394'
year: '2026'
...
---
_id: '65744'
abstract:
- lang: eng
text: 'Optimal control problems with symmetries often admit a non stationary turnpike
property called trim turnpike, which characterizes the convergence of optimal
solutions to certain symmetry induced trajectories called trim primitives. In
this paper we establish an exponential trim turnpike property for a class of optimal
control problems with structural properties related to Abelian Lie group symmetries.
The key ingredient of our approach is the introduction of an appropriate reduced
optimal control problem. We show that extremals of the original problem can be
characterized through a reduced Hamiltonian boundary value problem that coincides
with the optimality system of the reduced problem. Under a hyperbolicity assumption
on the equilibrium of the corresponding reduced Hamiltonian system we prove that
optimal trajectories remain exponentially close, up to boundary layers near the
endpoints, to a trim primitive defined by the static reduced problem. The theoretical
results are illustrated on three representative examples: linear and nonlinear
problems with quadratic cost and the Kepler orbital transfer problem.'
author:
- 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
orcid: 0000-0002-6085-8071
citation:
ama: Maslovskaya S, Ober-Blöbaum S, Wembe Moafo BE. Non static exponential turnpike
property for optimal control problems with symmetries and boundary conditions.
apa: Maslovskaya, S., Ober-Blöbaum, S., & Wembe Moafo, B. E. (n.d.). Non
static exponential turnpike property for optimal control problems with symmetries
and boundary conditions.
bibtex: '@article{Maslovskaya_Ober-Blöbaum_Wembe Moafo, title={Non static exponential
turnpike property for optimal control problems with symmetries and boundary conditions},
author={Maslovskaya, Sofya and Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar}
}'
chicago: Maslovskaya, Sofya, Sina Ober-Blöbaum, and Boris Edgar Wembe Moafo. “Non
Static Exponential Turnpike Property for Optimal Control Problems with Symmetries
and Boundary Conditions,” n.d.
ieee: S. Maslovskaya, S. Ober-Blöbaum, and B. E. Wembe Moafo, “Non static exponential
turnpike property for optimal control problems with symmetries and boundary conditions.”
.
mla: Maslovskaya, Sofya, et al. Non Static Exponential Turnpike Property for
Optimal Control Problems with Symmetries and Boundary Conditions.
short: S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, (n.d.).
date_created: 2026-06-01T09:31:15Z
date_updated: 2026-06-01T09:35:13Z
department:
- _id: '94'
language:
- iso: eng
publication_status: submitted
status: public
title: Non static exponential turnpike property for optimal control problems with
symmetries and boundary conditions
type: preprint
user_id: '95394'
year: '2026'
...
---
_id: '65747'
abstract:
- lang: eng
text: 'In this work, we address the numerical identification of entanglement in
dynamical scenarios. To this end, we consider different programs based on the
restriction of the evolution to the set of separable (i.e., non-entangled) states,
together with the discretization of the space of variables for numerical computations.
As a first approach, we apply linear splitting methods to the restricted, continuous
equations of motion derived from variational principles. We utilize an exchange
interaction Hamiltonian to confirm that the numerical and analytical solutions
coincide in the limit of small time steps. The application to different Hamiltonians
shows the wide applicability of the method to detect dynamical entanglement. To
avoid the derivation of analytical solutions for complex dynamics, we consider
variational, numerical integration schemes, introducing a variational discretization
for Lagrangians linear in velocities. Here, we examine and compare two approaches:
one in which the system is discretized before the restriction is applied, and
another in which the restriction precedes the discretization. We find that the
"first-discretize-then-restrict" method becomes numerically unstable, already
for the example of an exchange-interaction Hamiltonian, which can be an important
consideration for the numerical analysis of constrained quantum dynamics. Thereby,
broadly applicable numerical tools, including their limitations, for studying
entanglement over time are established for assessing the entangling power of processes
that are used in quantum information theory.'
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
last_name: Offen
- first_name: Boris
full_name: Wembe, Boris
last_name: Wembe
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Jan
full_name: Sperling, Jan
last_name: Sperling
- first_name: Sina
full_name: Ober-Blöbaum, Sina
last_name: Ober-Blöbaum
citation:
ama: 'Offen C, Wembe B, Ares L, Sperling J, Ober-Blöbaum S. Numerical approaches
to entangling dynamics from variational principles. Journal of Physics A: Mathematical
and Theoretical. Published online 2026. doi:10.1088/1751-8121/ae6d51'
apa: 'Offen, C., Wembe, B., Ares, L., Sperling, J., & Ober-Blöbaum, S. (2026).
Numerical approaches to entangling dynamics from variational principles. Journal
of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8121/ae6d51'
bibtex: '@article{Offen_Wembe_Ares_Sperling_Ober-Blöbaum_2026, title={Numerical
approaches to entangling dynamics from variational principles}, DOI={10.1088/1751-8121/ae6d51},
journal={Journal of Physics A: Mathematical and Theoretical}, publisher={IOP Publishing},
author={Offen, Christian and Wembe, Boris and Ares, Laura and Sperling, Jan and
Ober-Blöbaum, Sina}, year={2026} }'
chicago: 'Offen, Christian, Boris Wembe, Laura Ares, Jan Sperling, and Sina Ober-Blöbaum.
“Numerical Approaches to Entangling Dynamics from Variational Principles.” Journal
of Physics A: Mathematical and Theoretical, 2026. https://doi.org/10.1088/1751-8121/ae6d51.'
ieee: 'C. Offen, B. Wembe, L. Ares, J. Sperling, and S. Ober-Blöbaum, “Numerical
approaches to entangling dynamics from variational principles,” Journal of
Physics A: Mathematical and Theoretical, 2026, doi: 10.1088/1751-8121/ae6d51.'
mla: 'Offen, Christian, et al. “Numerical Approaches to Entangling Dynamics from
Variational Principles.” Journal of Physics A: Mathematical and Theoretical,
IOP Publishing, 2026, doi:10.1088/1751-8121/ae6d51.'
short: 'C. Offen, B. Wembe, L. Ares, J. Sperling, S. Ober-Blöbaum, Journal of Physics
A: Mathematical and Theoretical (2026).'
date_created: 2026-06-01T09:41:19Z
date_updated: 2026-06-01T09:43:52Z
department:
- _id: '94'
doi: 10.1088/1751-8121/ae6d51
language:
- iso: eng
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
issn:
- 1751-8113
- 1751-8121
publication_status: published
publisher: IOP Publishing
status: public
title: Numerical approaches to entangling dynamics from variational principles
type: journal_article
user_id: '95394'
year: '2026'
...
---
_id: '65865'
abstract:
- lang: eng
text: "Mathematical problem solving is a highly complex competence that needs\r\nto
be supported throughout the learning process. This study examines the role of\r\nproblem-solving
heuristics among 73 sixth-grade students in a German secondary\r\nschool (Gesamtschule).
Specifically, we focus on the empirical relationship between\r\nthe occurrence
of heuristics, their suitability, and application, as well as their contribution\r\nto
problem-solving success. To this end, we developed a heuristic training that\r\nintroduced
strategy keys (heuristic aid cards) accompanied by explanatory videos. By\r\nleveraging
variations in the successful application of the heuristics between students\r\nand
across multiple sessions (73 students in 4 training situations and 3 problems\r\nin
a final test), we discover from regression models with student and task-fixed
effects\r\nthat a successful use of heuristics (i.e., an heuristic occurred, that
heuristic had\r\na high suitability regarding the problem, and it was applied
correctly) leads to more\r\nsuccessful mathematical problem solving. Regarding
the underlying mechanism, we\r\nfind that all dimensions of heuristic use (occurrence,
suitability, and application\r\nof heuristics) are positively related to problem-solving
success. When comparing\r\nthe predictive capacity of all three aspects, we identified
the correct application of\r\nheuristics as particularly conducive for better
problem-solving success. In comparing\r\nthe group of students with high to those
with low initial math competence, we find no significant differences in the relationship
between heuristic use and problemsolving\r\nsuccess across achievement groups.
Our results emphasize the crucial role\r\nof heuristic application in mathematical
problem solving, which generally benefits\r\nstudents regardless of their overall
math competence."
article_type: original
author:
- first_name: Raja
full_name: Herold-Blasius, Raja
id: '126182'
last_name: Herold-Blasius
- first_name: Hannah
full_name: Kleinschmidt, Hannah
last_name: Kleinschmidt
- first_name: Conrad
full_name: Ziller, Conrad
last_name: Ziller
citation:
ama: 'Herold-Blasius R, Kleinschmidt H, Ziller C. Dimensions of Heuristic Use in
Mathematical Problem Solving: Evidence from Early Secondary School Students. Journal
für Mathematik-Didaktik. 2026;47(6). doi:https://doi.org/10.1007/s13138-026-00270-6'
apa: 'Herold-Blasius, R., Kleinschmidt, H., & Ziller, C. (2026). Dimensions
of Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary
School Students. Journal Für Mathematik-Didaktik, 47(6). https://doi.org/10.1007/s13138-026-00270-6'
bibtex: '@article{Herold-Blasius_Kleinschmidt_Ziller_2026, title={Dimensions of
Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary School
Students}, volume={47}, DOI={https://doi.org/10.1007/s13138-026-00270-6},
number={6}, journal={Journal für Mathematik-Didaktik}, author={Herold-Blasius,
Raja and Kleinschmidt, Hannah and Ziller, Conrad}, year={2026} }'
chicago: 'Herold-Blasius, Raja, Hannah Kleinschmidt, and Conrad Ziller. “Dimensions
of Heuristic Use in Mathematical Problem Solving: Evidence from Early Secondary
School Students.” Journal Für Mathematik-Didaktik 47, no. 6 (2026). https://doi.org/10.1007/s13138-026-00270-6.'
ieee: 'R. Herold-Blasius, H. Kleinschmidt, and C. Ziller, “Dimensions of Heuristic
Use in Mathematical Problem Solving: Evidence from Early Secondary School Students,”
Journal für Mathematik-Didaktik, vol. 47, no. 6, 2026, doi: https://doi.org/10.1007/s13138-026-00270-6.'
mla: 'Herold-Blasius, Raja, et al. “Dimensions of Heuristic Use in Mathematical
Problem Solving: Evidence from Early Secondary School Students.” Journal Für
Mathematik-Didaktik, vol. 47, no. 6, 2026, doi:https://doi.org/10.1007/s13138-026-00270-6.'
short: R. Herold-Blasius, H. Kleinschmidt, C. Ziller, Journal Für Mathematik-Didaktik
47 (2026).
date_created: 2026-06-15T10:08:04Z
date_updated: 2026-06-15T10:13:14Z
ddc:
- '510'
department:
- _id: '97'
doi: https://doi.org/10.1007/s13138-026-00270-6
file:
- access_level: closed
content_type: application/pdf
creator: rheroldb
date_created: 2026-06-15T10:03:48Z
date_updated: 2026-06-15T10:03:48Z
file_id: '65866'
file_name: 2026_JMD_Herold-Blasius et al_Dimensions of heuristic use.pdf
file_size: 1766182
relation: main_file
success: 1
file_date_updated: 2026-06-15T10:03:48Z
has_accepted_license: '1'
intvolume: ' 47'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s13138-026-00270-6
oa: '1'
publication: Journal für Mathematik-Didaktik
quality_controlled: '1'
status: public
title: 'Dimensions of Heuristic Use in Mathematical Problem Solving: Evidence from
Early Secondary School Students'
type: journal_article
user_id: '126182'
volume: 47
year: '2026'
...
---
_id: '65916'
author:
- first_name: Johanna
full_name: Jakob, Johanna
last_name: Jakob
citation:
ama: Jakob J. Diffeomorphism groups of compact locally polyhedral manifolds. Published
online 2026.
apa: Jakob, J. (2026). Diffeomorphism groups of compact locally polyhedral manifolds.
bibtex: '@article{Jakob_2026, title={Diffeomorphism groups of compact locally polyhedral
manifolds}, author={Jakob, Johanna}, year={2026} }'
chicago: Jakob, Johanna. “Diffeomorphism Groups of Compact Locally Polyhedral Manifolds,”
2026.
ieee: J. Jakob, “Diffeomorphism groups of compact locally polyhedral manifolds.”
2026.
mla: Jakob, Johanna. Diffeomorphism Groups of Compact Locally Polyhedral Manifolds.
2026.
short: J. Jakob, (2026).
date_created: 2026-06-17T06:11:59Z
date_updated: 2026-06-17T06:13:14Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
arxiv:
- arXiv:2606.14423
language:
- iso: eng
status: public
title: Diffeomorphism groups of compact locally polyhedral manifolds
type: preprint
user_id: '178'
year: '2026'
...
---
_id: '66060'
author:
- first_name: Leander
full_name: Claes, Leander
id: '11829'
last_name: Claes
orcid: 0000-0002-4393-268X
- first_name: Michael
full_name: Winkler, Michael
id: '31496'
last_name: Winkler
citation:
ama: Claes L, Winkler M. Local strong solutions in a quasilinear Moore-Gibson-Thompson
type model for thermoviscoelastic evolution in a standard linear solid. Nonlinear
Differential Equations and Applications NoDEA. 2026;33(4). doi:10.1007/s00030-026-01239-7
apa: Claes, L., & Winkler, M. (2026). Local strong solutions in a quasilinear
Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard
linear solid. Nonlinear Differential Equations and Applications NoDEA,
33(4). https://doi.org/10.1007/s00030-026-01239-7
bibtex: '@article{Claes_Winkler_2026, title={Local strong solutions in a quasilinear
Moore-Gibson-Thompson type model for thermoviscoelastic evolution in a standard
linear solid}, volume={33}, DOI={10.1007/s00030-026-01239-7},
number={4}, journal={Nonlinear Differential Equations and Applications NoDEA},
publisher={Springer Science and Business Media LLC}, author={Claes, Leander and
Winkler, Michael}, year={2026} }'
chicago: Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear
Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard
Linear Solid.” Nonlinear Differential Equations and Applications NoDEA
33, no. 4 (2026). https://doi.org/10.1007/s00030-026-01239-7.
ieee: 'L. Claes and M. Winkler, “Local strong solutions in a quasilinear Moore-Gibson-Thompson
type model for thermoviscoelastic evolution in a standard linear solid,” Nonlinear
Differential Equations and Applications NoDEA, vol. 33, no. 4, 2026, doi:
10.1007/s00030-026-01239-7.'
mla: Claes, Leander, and Michael Winkler. “Local Strong Solutions in a Quasilinear
Moore-Gibson-Thompson Type Model for Thermoviscoelastic Evolution in a Standard
Linear Solid.” Nonlinear Differential Equations and Applications NoDEA,
vol. 33, no. 4, Springer Science and Business Media LLC, 2026, doi:10.1007/s00030-026-01239-7.
short: L. Claes, M. Winkler, Nonlinear Differential Equations and Applications NoDEA
33 (2026).
date_created: 2026-06-26T09:21:21Z
date_updated: 2026-06-26T09:23:14Z
department:
- _id: '49'
- _id: '90'
doi: 10.1007/s00030-026-01239-7
intvolume: ' 33'
issue: '4'
language:
- iso: eng
project:
- _id: '245'
name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
für Leistungsschallanwendungen (NEPTUN)'
publication: Nonlinear Differential Equations and Applications NoDEA
publication_identifier:
issn:
- 1420-9004
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Local strong solutions in a quasilinear Moore-Gibson-Thompson type model for
thermoviscoelastic evolution in a standard linear solid
type: journal_article
user_id: '11829'
volume: 33
year: '2026'
...
---
_id: '66057'
author:
- first_name: Nils
full_name: Bullerjahn, Nils
id: '103797'
last_name: Bullerjahn
orcid: https://orcid.org/0009-0003-8460-1574
- first_name: Balázs
full_name: Kovács, Balázs
id: '100441'
last_name: Kovács
orcid: 0000-0001-9872-3474
citation:
ama: Bullerjahn N, Kovács B. Error estimates for $A$-stable backward difference
full discretizations of Willmore flow of closed surfaces. ArXiv. Published
online 2026. doi:10.48550/arXiv.2606.25934
apa: Bullerjahn, N., & Kovács, B. (2026). Error estimates for $A$-stable backward
difference full discretizations of Willmore flow of closed surfaces. ArXiv.
https://doi.org/10.48550/arXiv.2606.25934
bibtex: '@article{Bullerjahn_Kovács_2026, title={Error estimates for $A$-stable
backward difference full discretizations of Willmore flow of closed surfaces},
DOI={10.48550/arXiv.2606.25934},
journal={ArXiv}, author={Bullerjahn, Nils and Kovács, Balázs}, year={2026} }'
chicago: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for $A$-Stable Backward
Difference Full Discretizations of Willmore Flow of Closed Surfaces.” ArXiv,
2026. https://doi.org/10.48550/arXiv.2606.25934.
ieee: 'N. Bullerjahn and B. Kovács, “Error estimates for $A$-stable backward difference
full discretizations of Willmore flow of closed surfaces,” ArXiv, 2026,
doi: 10.48550/arXiv.2606.25934.'
mla: Bullerjahn, Nils, and Balázs Kovács. “Error Estimates for $A$-Stable Backward
Difference Full Discretizations of Willmore Flow of Closed Surfaces.” ArXiv,
2026, doi:10.48550/arXiv.2606.25934.
short: N. Bullerjahn, B. Kovács, ArXiv (2026).
date_created: 2026-06-26T06:03:08Z
date_updated: 2026-06-26T06:09:29Z
department:
- _id: '841'
doi: 10.48550/arXiv.2606.25934
language:
- iso: eng
publication: ArXiv
status: public
title: Error estimates for $A$-stable backward difference full discretizations of
Willmore flow of closed surfaces
type: journal_article
user_id: '103797'
year: '2026'
...
---
_id: '66074'
abstract:
- lang: eng
text: "Abstract\r\n This study
investigates how secondary students construct and evaluate decision trees in an
open exploratory task using CODAP. By analyzing students’ tree products and oral
self-reports, we identified different data-based and context-based approaches
to predictor selection and stopping criteria. Students engaged with key ideas
of predictive modeling, including classification, model construction, accuracy,
generalization, and interpretability. Informal exploration offered rich opportunities
for subsequent teaching by enabling students to begin reconstructing central technical
ideas and critical tensions of predictive modeling through diverse but meaningful
reasoning approaches."
author:
- first_name: Franz Yannik
full_name: Fleischer, Franz Yannik
id: '42660'
last_name: Fleischer
orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Fleischer FY, Biehler R. Informal approaches to predictive modeling: fostering
data literacy and critical engagement through decision tree construction. ZDM
– Mathematics Education. Published online 2026. doi:10.1007/s11858-026-01806-3'
apa: 'Fleischer, F. Y., & Biehler, R. (2026). Informal approaches to predictive
modeling: fostering data literacy and critical engagement through decision tree
construction. ZDM – Mathematics Education. https://doi.org/10.1007/s11858-026-01806-3'
bibtex: '@article{Fleischer_Biehler_2026, title={Informal approaches to predictive
modeling: fostering data literacy and critical engagement through decision tree
construction}, DOI={10.1007/s11858-026-01806-3},
journal={ZDM – Mathematics Education}, publisher={Springer Science and Business
Media LLC}, author={Fleischer, Franz Yannik and Biehler, Rolf}, year={2026} }'
chicago: 'Fleischer, Franz Yannik, and Rolf Biehler. “Informal Approaches to Predictive
Modeling: Fostering Data Literacy and Critical Engagement through Decision Tree
Construction.” ZDM – Mathematics Education, 2026. https://doi.org/10.1007/s11858-026-01806-3.'
ieee: 'F. Y. Fleischer and R. Biehler, “Informal approaches to predictive modeling:
fostering data literacy and critical engagement through decision tree construction,”
ZDM – Mathematics Education, 2026, doi: 10.1007/s11858-026-01806-3.'
mla: 'Fleischer, Franz Yannik, and Rolf Biehler. “Informal Approaches to Predictive
Modeling: Fostering Data Literacy and Critical Engagement through Decision Tree
Construction.” ZDM – Mathematics Education, Springer Science and Business
Media LLC, 2026, doi:10.1007/s11858-026-01806-3.'
short: F.Y. Fleischer, R. Biehler, ZDM – Mathematics Education (2026).
date_created: 2026-06-29T07:43:33Z
date_updated: 2026-06-29T07:47:44Z
department:
- _id: '363'
doi: 10.1007/s11858-026-01806-3
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://link.springer.com/article/10.1007/s11858-026-01806-3
oa: '1'
publication: ZDM – Mathematics Education
publication_identifier:
issn:
- 1863-9690
- 1863-9704
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Informal approaches to predictive modeling: fostering data literacy and critical
engagement through decision tree construction'
type: journal_article
user_id: '37888'
year: '2026'
...
---
_id: '60491'
abstract:
- lang: eng
text: We investigate generalisations of 1-factorisations and hyperfactorisations
of the complete graph $K_{2n}$. We show that they are special subsets of the association
scheme obtained from the Gelfand pair $(S_{2n},S_2 \wr S_n)$. This unifies and
extends results by Cameron (1976) and gives rise to new existence and non-existence
results. Our methods involve working in the group algebra $\mathbb{C}[S_{2n}]$
and using the representation theory of $S_{2n}$.
author:
- first_name: Lukas-André Dominik
full_name: Klawuhn, Lukas-André Dominik
id: '91965'
last_name: Klawuhn
orcid: 0009-0009-7736-4885
- first_name: John
full_name: Bamberg, John
last_name: Bamberg
citation:
ama: Klawuhn L-AD, Bamberg J. On the association scheme of perfect matchings and
their designs. Algebraic Combinatorics. 2026;9(3):789-809. doi:10.5802/alco.490
apa: Klawuhn, L.-A. D., & Bamberg, J. (2026). On the association scheme of perfect
matchings and their designs. Algebraic Combinatorics, 9(3), 789–809.
https://doi.org/10.5802/alco.490
bibtex: '@article{Klawuhn_Bamberg_2026, title={On the association scheme of perfect
matchings and their designs}, volume={9}, DOI={10.5802/alco.490},
number={3}, journal={Algebraic Combinatorics}, author={Klawuhn, Lukas-André Dominik
and Bamberg, John}, year={2026}, pages={789–809} }'
chicago: 'Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics 9, no.
3 (2026): 789–809. https://doi.org/10.5802/alco.490.'
ieee: 'L.-A. D. Klawuhn and J. Bamberg, “On the association scheme of perfect matchings
and their designs,” Algebraic Combinatorics, vol. 9, no. 3, pp. 789–809,
2026, doi: 10.5802/alco.490.'
mla: Klawuhn, Lukas-André Dominik, and John Bamberg. “On the Association Scheme
of Perfect Matchings and Their Designs.” Algebraic Combinatorics, vol.
9, no. 3, 2026, pp. 789–809, doi:10.5802/alco.490.
short: L.-A.D. Klawuhn, J. Bamberg, Algebraic Combinatorics 9 (2026) 789–809.
date_created: 2025-07-02T07:37:23Z
date_updated: 2026-07-10T12:26:11Z
department:
- _id: '100'
doi: 10.5802/alco.490
intvolume: ' 9'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://alco.centre-mersenne.org/articles/10.5802/alco.490/
oa: '1'
page: 789-809
publication: Algebraic Combinatorics
status: public
title: On the association scheme of perfect matchings and their designs
type: journal_article
user_id: '91965'
volume: 9
year: '2026'
...