---
_id: '34807'
abstract:
- lang: eng
text: "Let $M$ be a compact, real analytic manifold and $G$ be the Lie group of
all\r\nreal-analytic diffeomorphisms of $M$, which is modelled on the (DFS)-space\r\n${\\mathfrak
g}$ of real-analytic vector fields on $M$. We study flows of\r\ntime-dependent
real-analytic vector fields on $M$ which are integrable\r\nfunctions in time,
and their dependence on the time-dependent vector field.\r\nNotably, we show that
the Lie group $G$ is $L^1$-regular in the sense that each\r\n$[\\gamma]$ in $L^1([0,1],{\\mathfrak
g})$ has an evolution which is an\r\nabsolutely continuous $G$-valued function
on $[0,1]$ and smooth in $[\\gamma]$.\r\nAs tools for the proof, we develop several
new results concerning\r\n$L^p$-regularity of infinite-dimensional Lie groups,
for $1\\leq p\\leq \\infty$,\r\nwhich will be useful also for the discussion of
other classes of groups.\r\nMoreover, we obtain new results concerning the continuity
and complex\r\nanalyticity of non-linear mappings on open subsets of locally convex
direct\r\nlimits."
article_number: '113690'
author:
- first_name: Helge
full_name: Glöckner, Helge
id: '178'
last_name: Glöckner
citation:
ama: Glöckner H. Lie groups of real analytic diffeomorphisms are L^1-regular. Nonlinear
Analysis. 2025;252. doi:10.1016/j.na.2024.113690
apa: Glöckner, H. (2025). Lie groups of real analytic diffeomorphisms are L^1-regular.
Nonlinear Analysis, 252, Article 113690. https://doi.org/10.1016/j.na.2024.113690
bibtex: '@article{Glöckner_2025, title={Lie groups of real analytic diffeomorphisms
are L^1-regular}, volume={252}, DOI={10.1016/j.na.2024.113690},
number={113690}, journal={Nonlinear Analysis}, author={Glöckner, Helge}, year={2025}
}'
chicago: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis 252 (2025). https://doi.org/10.1016/j.na.2024.113690.
ieee: 'H. Glöckner, “Lie groups of real analytic diffeomorphisms are L^1-regular,”
Nonlinear Analysis, vol. 252, Art. no. 113690, 2025, doi: 10.1016/j.na.2024.113690.'
mla: Glöckner, Helge. “Lie Groups of Real Analytic Diffeomorphisms Are L^1-Regular.”
Nonlinear Analysis, vol. 252, 113690, 2025, doi:10.1016/j.na.2024.113690.
short: H. Glöckner, Nonlinear Analysis 252 (2025).
date_created: 2022-12-22T07:49:32Z
date_updated: 2024-12-24T16:58:38Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1016/j.na.2024.113690
intvolume: ' 252'
language:
- iso: eng
publication: Nonlinear Analysis
quality_controlled: '1'
status: public
title: Lie groups of real analytic diffeomorphisms are L^1-regular
type: journal_article
user_id: '178'
volume: 252
year: '2025'
...
---
_id: '56298'
abstract:
- lang: eng
text: "In the general pattern formation (GPF) problem, a swarm of simple autonomous,\r\ndisoriented
robots must form a given pattern. The robots' simplicity imply a\r\nstrong limitation:
When the initial configuration is rotationally symmetric,\r\nonly patterns with
a similar symmetry can be formed [Yamashita, Suzyuki; TCS\r\n2010]. The only known
algorithm to form large patterns with limited visibility\r\nand without memory
requires the robots to start in a near-gathering (a swarm of\r\nconstant diameter)
[Hahn et al.; SAND 2024]. However, not only do we not know\r\nany near-gathering
algorithm guaranteed to preserve symmetry but most natural\r\ngathering strategies
trivially increase symmetries [Castenow et al.; OPODIS\r\n2022].\r\n Thus, we
study near-gathering without changing the swarm's rotational\r\nsymmetry for disoriented,
oblivious robots with limited visibility (the\r\nOBLOT-model, see [Flocchini et
al.; 2019]). We introduce a technique based on\r\nthe theory of dynamical systems
to analyze how a given algorithm affects\r\nsymmetry and provide sufficient conditions
for symmetry preservation. Until\r\nnow, it was unknown whether the considered
OBLOT-model allows for any\r\nnon-trivial algorithm that always preserves symmetry.
Our first result shows\r\nthat a variant of Go-to-the-Average always preserves
symmetry but may sometimes\r\nlead to multiple, unconnected near-gathering clusters.
Our second result is a\r\nsymmetry-preserving near-gathering algorithm that works
on swarms with a convex\r\nboundary (the outer boundary of the unit disc graph)
and without holes (circles\r\nof diameter 1 inside the boundary without any robots)."
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
orcid: 0009-0002-4750-2051
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
- first_name: Christopher
full_name: Hahn, Christopher
last_name: Hahn
- first_name: Jonas
full_name: Harbig, Jonas
id: '47213'
last_name: Harbig
- first_name: Peter
full_name: Kling, Peter
last_name: Kling
citation:
ama: 'Gerlach R, von der Gracht S, Hahn C, Harbig J, Kling P. Symmetry Preservation
in Swarms of Oblivious Robots with Limited Visibility. In: Bonomi S, Galletta
L, Rivière Etienne, Schiavoni Valerio, eds. 28th International Conference
on Principles of Distributed Systems (OPODIS 2024). Vol 324. Leibniz International
Proceedings in Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik;
2025. doi:10.4230/LIPIcs.OPODIS.2024.13'
apa: Gerlach, R., von der Gracht, S., Hahn, C., Harbig, J., & Kling, P. (2025).
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility.
In S. Bonomi, L. Galletta, Etienne Rivière, & Valerio Schiavoni (Eds.),
28th International Conference on Principles of Distributed Systems (OPODIS
2024) (Vol. 324). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2024.13
bibtex: '@inproceedings{Gerlach_von der Gracht_Hahn_Harbig_Kling_2025, series={Leibniz
International Proceedings in Informatics (LIPIcs)}, title={Symmetry Preservation
in Swarms of Oblivious Robots with Limited Visibility}, volume={324}, DOI={10.4230/LIPIcs.OPODIS.2024.13},
booktitle={28th International Conference on Principles of Distributed Systems
(OPODIS 2024)}, publisher={Schloss Dagstuhl -- Leibniz-Zentrum für Informatik},
author={Gerlach, Raphael and von der Gracht, Sören and Hahn, Christopher and Harbig,
Jonas and Kling, Peter}, editor={Bonomi, Silvia and Galletta, Letterio and Rivière, Etienne
and Schiavoni, Valerio}, year={2025}, collection={Leibniz International Proceedings
in Informatics (LIPIcs)} }'
chicago: Gerlach, Raphael, Sören von der Gracht, Christopher Hahn, Jonas Harbig,
and Peter Kling. “Symmetry Preservation in Swarms of Oblivious Robots with Limited
Visibility.” In 28th International Conference on Principles of Distributed
Systems (OPODIS 2024), edited by Silvia Bonomi, Letterio Galletta, Etienne
Rivière, and Valerio Schiavoni, Vol. 324. Leibniz International Proceedings in
Informatics (LIPIcs). Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
https://doi.org/10.4230/LIPIcs.OPODIS.2024.13.
ieee: 'R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry
Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th
International Conference on Principles of Distributed Systems (OPODIS 2024),
Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.'
mla: Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots
with Limited Visibility.” 28th International Conference on Principles of Distributed
Systems (OPODIS 2024), edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl
-- Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.OPODIS.2024.13.
short: 'R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi,
L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference
on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum
für Informatik, 2025.'
conference:
end_date: 2024-12-13
location: Lucca, Italy
name: 28th International Conference on Principles of Distributed Systems (OPODIS
2024)
start_date: 2024-12-11
date_created: 2024-10-01T13:29:43Z
date_updated: 2025-01-09T11:39:19Z
department:
- _id: '101'
doi: 10.4230/LIPIcs.OPODIS.2024.13
editor:
- first_name: Silvia
full_name: Bonomi, Silvia
last_name: Bonomi
- first_name: Letterio
full_name: Galletta, Letterio
last_name: Galletta
- first_name: ' Etienne'
full_name: Rivière, Etienne
last_name: Rivière
- first_name: ' Valerio'
full_name: Schiavoni, Valerio
last_name: Schiavoni
external_id:
arxiv:
- '2409.19277'
intvolume: ' 324'
keyword:
- Swarm Algorithm
- Swarm Robots
- Distributed Algorithm
- Pattern Formation
- Limited Visibility
- Oblivious
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2409.19277
oa: '1'
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: 28th International Conference on Principles of Distributed Systems (OPODIS
2024)
publication_identifier:
isbn:
- 978-3-95977-360-7
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl -- Leibniz-Zentrum für Informatik
series_title: Leibniz International Proceedings in Informatics (LIPIcs)
status: public
title: Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
type: conference
user_id: '97359'
volume: 324
year: '2025'
...
---
_id: '58532'
author:
- first_name: Nils
full_name: Bullerjahn, Nils
id: '103797'
last_name: Bullerjahn
orcid: https://orcid.org/0009-0003-8460-1574
citation:
ama: Bullerjahn N. Error estimates for full discretization by an almost mass conservation
technique for Cahn--Hilliard systems with dynamic boundary conditions. arXiv.
Published online 2025. doi:10.48550/ARXIV.2502.03847
apa: Bullerjahn, N. (2025). Error estimates for full discretization by an almost
mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions.
ArXiv. https://doi.org/10.48550/ARXIV.2502.03847
bibtex: '@article{Bullerjahn_2025, title={Error estimates for full discretization
by an almost mass conservation technique for Cahn--Hilliard systems with dynamic
boundary conditions}, DOI={10.48550/ARXIV.2502.03847},
journal={arXiv}, author={Bullerjahn, Nils}, year={2025} }'
chicago: Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost
Mass Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.”
ArXiv, 2025. https://doi.org/10.48550/ARXIV.2502.03847.
ieee: 'N. Bullerjahn, “Error estimates for full discretization by an almost mass
conservation technique for Cahn--Hilliard systems with dynamic boundary conditions,”
arXiv, 2025, doi: 10.48550/ARXIV.2502.03847.'
mla: Bullerjahn, Nils. “Error Estimates for Full Discretization by an Almost Mass
Conservation Technique for Cahn--Hilliard Systems with Dynamic Boundary Conditions.”
ArXiv, 2025, doi:10.48550/ARXIV.2502.03847.
short: N. Bullerjahn, ArXiv (2025).
date_created: 2025-02-07T08:27:10Z
date_updated: 2025-02-07T08:28:48Z
department:
- _id: '841'
doi: 10.48550/ARXIV.2502.03847
language:
- iso: eng
publication: arXiv
status: public
title: Error estimates for full discretization by an almost mass conservation technique
for Cahn--Hilliard systems with dynamic boundary conditions
type: journal_article
user_id: '103797'
year: '2025'
...
---
_id: '58544'
abstract:
- lang: eng
text: 'We introduce a new classification of multimode states with a fixed number
of photons. This classification is based on the factorizability of homogeneous
multivariate polynomials and is invariant under unitary transformations. The classes
physically correspond to field excitations in terms of single and multiple photons,
each of which being in an arbitrary irreducible superposition of quantized modes.
We further show how the transitions between classes are rendered possible by photon
addition, photon subtraction, and photon-projection nonlinearities. We explicitly
put forward a design for a multilayer interferometer in which the states for different
classes can be generated with state-of-the-art experimental techniques. Limitations
of the proposed designs are analyzed using the introduced classification, providing
a benchmark for the robustness of certain states and classes. '
author:
- first_name: Denis
full_name: Kopylov, Denis
id: '98502'
last_name: Kopylov
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
- first_name: Laura
full_name: Ares, Laura
last_name: Ares
- first_name: Boris Edgar
full_name: Wembe Moafo, Boris Edgar
id: '95394'
last_name: Wembe Moafo
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Torsten
full_name: Meier, Torsten
id: '344'
last_name: Meier
orcid: 0000-0001-8864-2072
- first_name: Polina
full_name: Sharapova, Polina
id: '60286'
last_name: Sharapova
- first_name: Jan
full_name: Sperling, Jan
id: '75127'
last_name: Sperling
orcid: 0000-0002-5844-3205
citation:
ama: Kopylov D, Offen C, Ares L, et al. Multiphoton, multimode state classification
for nonlinear optical circuits .
apa: Kopylov, D., Offen, C., Ares, L., Wembe Moafo, B. E., Ober-Blöbaum, S., Meier,
T., Sharapova, P., & Sperling, J. (n.d.). Multiphoton, multimode state
classification for nonlinear optical circuits .
bibtex: '@article{Kopylov_Offen_Ares_Wembe Moafo_Ober-Blöbaum_Meier_Sharapova_Sperling,
title={Multiphoton, multimode state classification for nonlinear optical circuits
}, author={Kopylov, Denis and Offen, Christian and Ares, Laura and Wembe Moafo,
Boris Edgar and Ober-Blöbaum, Sina and Meier, Torsten and Sharapova, Polina and
Sperling, Jan} }'
chicago: Kopylov, Denis, Christian Offen, Laura Ares, Boris Edgar Wembe Moafo, Sina
Ober-Blöbaum, Torsten Meier, Polina Sharapova, and Jan Sperling. “Multiphoton,
Multimode State Classification for Nonlinear Optical Circuits ,” n.d.
ieee: D. Kopylov et al., “Multiphoton, multimode state classification for
nonlinear optical circuits .” .
mla: Kopylov, Denis, et al. Multiphoton, Multimode State Classification for Nonlinear
Optical Circuits .
short: D. Kopylov, C. Offen, L. Ares, B.E. Wembe Moafo, S. Ober-Blöbaum, T. Meier,
P. Sharapova, J. Sperling, (n.d.).
date_created: 2025-02-10T08:26:45Z
date_updated: 2025-02-10T08:36:12Z
department:
- _id: '623'
- _id: '15'
- _id: '636'
external_id:
arxiv:
- '2502.05123'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2502.05123
oa: '1'
publication_status: submitted
status: public
title: 'Multiphoton, multimode state classification for nonlinear optical circuits '
type: preprint
user_id: '85279'
year: '2025'
...
---
_id: '58947'
article_number: '101242'
author:
- first_name: Katja
full_name: Krüger, Katja
last_name: Krüger
- first_name: Gerda
full_name: Werth, Gerda
id: '578'
last_name: Werth
citation:
ama: Krüger K, Werth G. Mathematics education for girls in Prussia 1890–1925. The
Journal of Mathematical Behavior. 2025;79. doi:10.1016/j.jmathb.2025.101242
apa: Krüger, K., & Werth, G. (2025). Mathematics education for girls in Prussia
1890–1925. The Journal of Mathematical Behavior, 79, Article 101242.
https://doi.org/10.1016/j.jmathb.2025.101242
bibtex: '@article{Krüger_Werth_2025, title={Mathematics education for girls in Prussia
1890–1925}, volume={79}, DOI={10.1016/j.jmathb.2025.101242},
number={101242}, journal={The Journal of Mathematical Behavior}, publisher={Elsevier
BV}, author={Krüger, Katja and Werth, Gerda}, year={2025} }'
chicago: Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia
1890–1925.” The Journal of Mathematical Behavior 79 (2025). https://doi.org/10.1016/j.jmathb.2025.101242.
ieee: 'K. Krüger and G. Werth, “Mathematics education for girls in Prussia 1890–1925,”
The Journal of Mathematical Behavior, vol. 79, Art. no. 101242, 2025, doi:
10.1016/j.jmathb.2025.101242.'
mla: Krüger, Katja, and Gerda Werth. “Mathematics Education for Girls in Prussia
1890–1925.” The Journal of Mathematical Behavior, vol. 79, 101242, Elsevier
BV, 2025, doi:10.1016/j.jmathb.2025.101242.
short: K. Krüger, G. Werth, The Journal of Mathematical Behavior 79 (2025).
date_created: 2025-03-10T10:46:07Z
date_updated: 2025-03-10T10:54:03Z
department:
- _id: '34'
- _id: '10'
- _id: '98'
- _id: '360'
doi: 10.1016/j.jmathb.2025.101242
intvolume: ' 79'
language:
- iso: eng
publication: The Journal of Mathematical Behavior
publication_identifier:
issn:
- 0732-3123
publication_status: published
publisher: Elsevier BV
status: public
title: Mathematics education for girls in Prussia 1890–1925
type: journal_article
user_id: '578'
volume: 79
year: '2025'
...
---
_id: '58953'
abstract:
- lang: eng
text: In this article, we investigate symmetry properties of distributed systems
of mobile robots. We consider a swarm of n robots in the OBLOT model and analyze
their collective Fsync dynamics using of equivariant dynamical systems theory.
To this end, we show that the corresponding evolution function commutes with rotational
and reflective transformations of R^2. These form a group that is isomorphic to
O(2) x S_n, the product group of the orthogonal group and the permutation on n
elements. The theory of equivariant dynamical systems is used to deduce a hierarchy
along which symmetries of a robot swarm can potentially increase following an
arbitrary protocol. By decoupling the Look phase from the Compute and Move phases
in the mathematical description of an LCM cycle, this hierarchy can be characterized
in terms of automorphisms of connectivity graphs. In particular, we find all possible
types of symmetry increase, if the decoupled Compute and Move phase is invertible.
Finally, we apply our results to protocols which induce state-dependent linear
dynamics, where the reduced system consisting of only the Compute and Move phase
is linear.
author:
- first_name: Raphael
full_name: Gerlach, Raphael
id: '32655'
last_name: Gerlach
orcid: 0009-0002-4750-2051
- first_name: Sören
full_name: von der Gracht, Sören
id: '97359'
last_name: von der Gracht
orcid: 0000-0002-8054-2058
citation:
ama: Gerlach R, von der Gracht S. Analyzing Symmetries of Swarms of Mobile Robots
Using Equivariant Dynamical Systems. arXiv:250307576. Published online
2025.
apa: Gerlach, R., & von der Gracht, S. (2025). Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems. In arXiv:2503.07576.
bibtex: '@article{Gerlach_von der Gracht_2025, title={Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems}, journal={arXiv:2503.07576},
author={Gerlach, Raphael and von der Gracht, Sören}, year={2025} }'
chicago: Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems.” ArXiv:2503.07576,
2025.
ieee: R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile
Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
mla: Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms
of Mobile Robots Using Equivariant Dynamical Systems.” ArXiv:2503.07576,
2025.
short: R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
date_created: 2025-03-11T08:21:05Z
date_updated: 2025-03-11T08:53:02Z
ddc:
- '004'
department:
- _id: '101'
external_id:
arxiv:
- '2503.07576'
file:
- access_level: open_access
content_type: application/pdf
creator: svdg
date_created: 2025-03-11T08:27:32Z
date_updated: 2025-03-11T08:27:32Z
file_id: '58954'
file_name: Analyzing_Symmetries_of_Swarms_of_Mobile_Robots_Using_Equivariant_Dynamical_Systems.pdf
file_size: 812198
relation: main_file
file_date_updated: 2025-03-11T08:27:32Z
has_accepted_license: '1'
keyword:
- dynamical systems
- coupled systems
- distributed computing
- robot swarms
- autonomous mobile robots
- symmetry
- equivariant dynamics
language:
- iso: eng
oa: '1'
page: '23'
project:
- _id: '106'
grant_number: '453112019'
name: 'Algorithmen für Schwarmrobotik: Verteiltes Rechnen trifft Dynamische Systeme'
publication: arXiv:2503.07576
status: public
title: Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical
Systems
type: preprint
user_id: '97359'
year: '2025'
...
---
_id: '59053'
author:
- first_name: Daniel
full_name: Frischemeier, Daniel
last_name: Frischemeier
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
citation:
ama: 'Frischemeier D, Biehler R. Förderung von statistischem Denken im Mathematikunterricht
der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten. Stochastik in
der Schule. 2025;45(1):22-33.'
apa: 'Frischemeier, D., & Biehler, R. (2025). Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.
Stochastik in der Schule, 45(1), 22–33.'
bibtex: '@article{Frischemeier_Biehler_2025, title={Förderung von statistischem
Denken im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten},
volume={45}, number={1}, journal={Stochastik in der Schule}, author={Frischemeier,
Daniel and Biehler, Rolf}, year={2025}, pages={22–33} }'
chicago: 'Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.”
Stochastik in der Schule 45, no. 1 (2025): 22–33.'
ieee: 'D. Frischemeier and R. Biehler, “Förderung von statistischem Denken im Mathematikunterricht
der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten,” Stochastik
in der Schule, vol. 45, no. 1, pp. 22–33, 2025.'
mla: 'Frischemeier, Daniel, and Rolf Biehler. “Förderung von statistischem Denken
im Mathematikunterricht der Primarstufe: Bedeutsame Ideen und Förderungsmöglichkeiten.”
Stochastik in der Schule, vol. 45, no. 1, 2025, pp. 22–33.'
short: D. Frischemeier, R. Biehler, Stochastik in der Schule 45 (2025) 22–33.
date_created: 2025-03-17T09:02:59Z
date_updated: 2025-03-17T09:03:05Z
department:
- _id: '363'
intvolume: ' 45'
issue: '1'
language:
- iso: ger
page: 22-33
publication: Stochastik in der Schule
status: public
title: 'Förderung von statistischem Denken im Mathematikunterricht der Primarstufe:
Bedeutsame Ideen und Förderungsmöglichkeiten'
type: journal_article
user_id: '37888'
volume: 45
year: '2025'
...
---
_id: '59169'
abstract:
- lang: eng
text: An r-regular graph is an r-graph, if every odd set of vertices is connected
to its complement by at least r edges. Let G and H be r-graphs. An H-coloring
of G is a mapping such that each r adjacent edges of G are mapped to r adjacent
edges of H. For every , let be an inclusion-wise minimal set of connected r-graphs,
such that for every connected r-graph G there is an which colors G. The Petersen
Coloring Conjecture states that consists of the Petersen graph P. We show that
if true, then this is a very exclusive situation. Our main result is that either
or is an infinite set and if , then is an infinite set. In particular, for all
, is unique. We first characterize and then prove that if contains more than one
element, then it is an infinite set. To obtain our main result we show that contains
the smallest r-graphs of class 2 and the smallest poorly matchable r-graphs, and
we determine the smallest r-graphs of class 2.
article_number: '16'
author:
- first_name: Yulai
full_name: Ma, Yulai
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 H.
full_name: Wolf, Isaak H.
last_name: Wolf
citation:
ama: Ma Y, Mattiolo D, Steffen E, Wolf IH. Sets of r-Graphs that Color All r-Graphs.
Combinatorica. 2025;45(2). doi:10.1007/s00493-025-00144-4
apa: Ma, Y., Mattiolo, D., Steffen, E., & Wolf, I. H. (2025). Sets of r-Graphs
that Color All r-Graphs. Combinatorica, 45(2), Article 16. https://doi.org/10.1007/s00493-025-00144-4
bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2025, title={Sets of r-Graphs that Color
All r-Graphs}, volume={45}, DOI={10.1007/s00493-025-00144-4},
number={216}, journal={Combinatorica}, publisher={Springer Science and Business
Media LLC}, author={Ma, Yulai and Mattiolo, Davide and Steffen, Eckhard and Wolf,
Isaak H.}, year={2025} }'
chicago: Ma, Yulai, Davide Mattiolo, Eckhard Steffen, and Isaak H. Wolf. “Sets of
R-Graphs That Color All r-Graphs.” Combinatorica 45, no. 2 (2025). https://doi.org/10.1007/s00493-025-00144-4.
ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-Graphs that Color
All r-Graphs,” Combinatorica, vol. 45, no. 2, Art. no. 16, 2025, doi: 10.1007/s00493-025-00144-4.'
mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” Combinatorica,
vol. 45, no. 2, 16, Springer Science and Business Media LLC, 2025, doi:10.1007/s00493-025-00144-4.
short: Y. Ma, D. Mattiolo, E. Steffen, I.H. Wolf, Combinatorica 45 (2025).
date_created: 2025-03-27T09:46:34Z
date_updated: 2025-03-27T09:48:48Z
department:
- _id: '542'
doi: 10.1007/s00493-025-00144-4
intvolume: ' 45'
issue: '2'
language:
- iso: eng
publication: Combinatorica
publication_identifier:
issn:
- 0209-9683
- 1439-6912
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Sets of r-Graphs that Color All r-Graphs
type: journal_article
user_id: '15540'
volume: 45
year: '2025'
...
---
_id: '60205'
article_number: '113555'
author:
- first_name: Tobias
full_name: Black, Tobias
id: '23686'
last_name: Black
orcid: 0000-0001-9963-0800
citation:
ama: 'Black T. Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system.
Journal of Differential Equations. 2025;443. doi:10.1016/j.jde.2025.113555'
apa: 'Black, T. (2025). Very mild diffusion enhancement and singular sensitivity:
Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system. Journal of Differential Equations, 443, Article 113555.
https://doi.org/10.1016/j.jde.2025.113555'
bibtex: '@article{Black_2025, title={Very mild diffusion enhancement and singular
sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes
system}, volume={443}, DOI={10.1016/j.jde.2025.113555},
number={113555}, journal={Journal of Differential Equations}, publisher={Elsevier
BV}, author={Black, Tobias}, year={2025} }'
chicago: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations 443 (2025). https://doi.org/10.1016/j.jde.2025.113555.'
ieee: 'T. Black, “Very mild diffusion enhancement and singular sensitivity: Existence
of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system,”
Journal of Differential Equations, vol. 443, Art. no. 113555, 2025, doi:
10.1016/j.jde.2025.113555.'
mla: 'Black, Tobias. “Very Mild Diffusion Enhancement and Singular Sensitivity:
Existence of Bounded Weak Solutions in a Two-Dimensional Chemotaxis-Navier–Stokes
System.” Journal of Differential Equations, vol. 443, 113555, Elsevier
BV, 2025, doi:10.1016/j.jde.2025.113555.'
short: T. Black, Journal of Differential Equations 443 (2025).
date_created: 2025-06-13T11:12:23Z
date_updated: 2025-06-13T11:13:22Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.jde.2025.113555
intvolume: ' 443'
language:
- iso: eng
publication: Journal of Differential Equations
publication_identifier:
issn:
- 0022-0396
publication_status: published
publisher: Elsevier BV
status: public
title: 'Very mild diffusion enhancement and singular sensitivity: Existence of bounded
weak solutions in a two-dimensional chemotaxis-Navier–Stokes system'
type: journal_article
user_id: '23686'
volume: 443
year: '2025'
...
---
_id: '60293'
abstract:
- lang: eng
text: "In this work, we present a complete characterization of the covariance\r\nstructure
of number statistics in boxes for hyperuniform point processes. Under\r\na standard
integrability assumption, the covariance depends solely on the\r\noverlap of the
faces of the box. Beyond this assumption, a novel interpolating\r\ncovariance
structure emerges. This enables us to identify a limiting Gaussian\r\n'coarse-grained'
process, counting the number of points in large boxes as a\r\nfunction of the
box position. Depending on the integrability assumption, this\r\nprocess may be
continuous or discontinuous, e.g. in d=1 it is given by an\r\nincrement process
of a fractional Brownian motion."
author:
- first_name: Jonas
full_name: Jalowy, Jonas
id: '113768'
last_name: Jalowy
orcid: 0000-0001-9624-2685
- first_name: Hanna
full_name: Stange, Hanna
last_name: Stange
citation:
ama: Jalowy J, Stange H. Box-Covariances of Hyperuniform Point Processes. arXiv:250613661.
Published online 2025.
apa: Jalowy, J., & Stange, H. (2025). Box-Covariances of Hyperuniform Point
Processes. In arXiv:2506.13661.
bibtex: '@article{Jalowy_Stange_2025, title={Box-Covariances of Hyperuniform Point
Processes}, journal={arXiv:2506.13661}, author={Jalowy, Jonas and Stange, Hanna},
year={2025} }'
chicago: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point
Processes.” ArXiv:2506.13661, 2025.
ieee: J. Jalowy and H. Stange, “Box-Covariances of Hyperuniform Point Processes,”
arXiv:2506.13661. 2025.
mla: Jalowy, Jonas, and Hanna Stange. “Box-Covariances of Hyperuniform Point Processes.”
ArXiv:2506.13661, 2025.
short: J. Jalowy, H. Stange, ArXiv:2506.13661 (2025).
date_created: 2025-06-22T08:02:28Z
date_updated: 2025-06-22T08:03:20Z
department:
- _id: '94'
external_id:
arxiv:
- '2506.13661'
language:
- iso: eng
publication: arXiv:2506.13661
status: public
title: Box-Covariances of Hyperuniform Point Processes
type: preprint
user_id: '113768'
year: '2025'
...
---
_id: '60351'
abstract:
- lang: eng
text: This article is a short summary of the report of survey team 3, presented
to the 15th International Congress on Mathematical Education (ICME-15) in Sydney
in July 2024.
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. Published online 2025.
doi:10.4171/mag/257
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. https://doi.org/10.4171/mag/257
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={10.4171/mag/257},
journal={European Mathematical Society Magazine}, publisher={European Mathematical
Society - EMS - Publishing House GmbH}, author={Biehler, Rolf and Kawakami, Takashi
and Lampen, Erna and Weiland, Travis and Zapata-Cardona, Lucía}, year={2025} }'
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,
2025. https://doi.org/10.4171/mag/257.
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, 2025, doi: 10.4171/mag/257.'
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, European Mathematical Society - EMS - Publishing House GmbH, 2025,
doi:10.4171/mag/257.
short: R. Biehler, T. Kawakami, E. Lampen, T. Weiland, L. Zapata-Cardona, European
Mathematical Society Magazine (2025).
date_created: 2025-06-24T06:58:17Z
date_updated: 2025-06-24T06:59:42Z
department:
- _id: '363'
doi: 10.4171/mag/257
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.4171/MAG/257
oa: '1'
publication: European Mathematical Society Magazine
publication_identifier:
issn:
- 2747-7894
- 2747-7908
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
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: '53805'
abstract:
- lang: eng
text: The article introduces a method to learn dynamical systems that are governed
by Euler–Lagrange equations from data. The method is based on Gaussian process
regression and identifies continuous or discrete Lagrangians and is, therefore,
structure preserving by design. A rigorous proof of convergence as the distance
between observation data points converges to zero and lower bounds for convergence
rates are provided. Next to convergence guarantees, the method allows for quantification
of model uncertainty, which can provide a basis of adaptive sampling techniques.
We provide efficient uncertainty quantification of any observable that is linear
in the Lagrangian, including of Hamiltonian functions (energy) and symplectic
structures, which is of interest in the context of system identification. The
article overcomes major practical and theoretical difficulties related to the
ill-posedness of the identification task of (discrete) Lagrangians through a careful
design of geometric regularisation strategies and through an exploit of a relation
to convex minimisation problems in reproducing kernel Hilbert spaces.
article_type: original
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: 0000-0002-5940-8057
citation:
ama: Offen C. Machine learning of continuous and discrete variational ODEs with
convergence guarantee and uncertainty quantification. Mathematics of Computation.
Published online 2025. doi:10.1090/mcom/4120
apa: Offen, C. (2025). Machine learning of continuous and discrete variational ODEs
with convergence guarantee and uncertainty quantification. Mathematics of Computation.
https://doi.org/10.1090/mcom/4120
bibtex: '@article{Offen_2025, title={Machine learning of continuous and discrete
variational ODEs with convergence guarantee and uncertainty quantification}, DOI={10.1090/mcom/4120}, journal={Mathematics
of Computation}, publisher={American Mathematical Society}, author={Offen, Christian},
year={2025} }'
chicago: Offen, Christian. “Machine Learning of Continuous and Discrete Variational
ODEs with Convergence Guarantee and Uncertainty Quantification.” Mathematics
of Computation, 2025. https://doi.org/10.1090/mcom/4120.
ieee: 'C. Offen, “Machine learning of continuous and discrete variational ODEs with
convergence guarantee and uncertainty quantification,” Mathematics of Computation,
2025, doi: 10.1090/mcom/4120.'
mla: Offen, Christian. “Machine Learning of Continuous and Discrete Variational
ODEs with Convergence Guarantee and Uncertainty Quantification.” Mathematics
of Computation, American Mathematical Society, 2025, doi:10.1090/mcom/4120.
short: C. Offen, Mathematics of Computation (2025).
date_created: 2024-04-30T16:04:40Z
date_updated: 2025-06-29T13:03:55Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1090/mcom/4120
external_id:
arxiv:
- arXiv:2404.19626
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2025-05-02T13:20:31Z
date_updated: 2025-05-02T13:20:31Z
description: |-
The article introduces a method to learn dynamical systems that
are governed by Euler–Lagrange equations from data. The method is based on
Gaussian process regression and identifies continuous or discrete Lagrangians
and is, therefore, structure preserving by design. A rigorous proof of con-
vergence as the distance between observation data points converges to zero
and lower bounds for convergence rates are provided. Next to convergence
guarantees, the method allows for quantification of model uncertainty, which
can provide a basis of adaptive sampling techniques. We provide efficient uncertainty quantification of any observable that is linear in the Lagrangian,
including of Hamiltonian functions (energy) and symplectic structures, which
is of interest in the context of system identification. The article overcomes
major practical and theoretical difficulties related to the ill-posedness of the
identification task of (discrete) Lagrangians through a careful design of geometric regularisation strategies and through an exploit of a relation to convex
minimisation problems in reproducing kernel Hilbert spaces.
file_id: '59759'
file_name: L_Collocation_ODE_mcom-l-template.pdf
file_size: 1819189
relation: main_file
title: 'Machine learning of continuous and discrete variational ODEs with convergence
guarantee and uncertainty quantification '
file_date_updated: 2025-05-02T13:20:31Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
project:
- _id: '52'
name: 'PC2: Computing Resources Provided by the Paderborn Center for Parallel Computing'
publication: Mathematics of Computation
publication_status: epub_ahead
publisher: American Mathematical Society
quality_controlled: '1'
related_material:
link:
- description: GitHub
relation: software
url: https://github.com/Christian-Offen/Lagrangian_GP
status: public
title: Machine learning of continuous and discrete variational ODEs with convergence
guarantee and uncertainty quantification
type: journal_article
user_id: '85279'
year: '2025'
...
---
_id: '60495'
author:
- first_name: Susanne
full_name: Podworny, Susanne
id: '30619'
last_name: Podworny
orcid: 0000-0002-6313-5987
- first_name: Yannik
full_name: Fleischer, 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: Podworny S, Fleischer Y, Biehler R. Explorative Datenanalyse in der Schule
– Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten. Stochastik
in der Schule. 2025;45(2):9-16.
apa: Podworny, S., Fleischer, Y., & Biehler, R. (2025). Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.
Stochastik in der Schule, 45(2), 9–16.
bibtex: '@article{Podworny_Fleischer_Biehler_2025, title={Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten},
volume={45}, number={2}, journal={Stochastik in der Schule}, author={Podworny,
Susanne and Fleischer, Yannik and Biehler, Rolf}, year={2025}, pages={9–16} }'
chicago: 'Podworny, Susanne, Yannik Fleischer, and Rolf Biehler. “Explorative Datenanalyse
in der Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.”
Stochastik in der Schule 45, no. 2 (2025): 9–16.'
ieee: S. Podworny, Y. Fleischer, and R. Biehler, “Explorative Datenanalyse in der
Schule – Analyse der Mediennutzung von Jugendlichen mit den YOU‑PB Daten,” Stochastik
in der Schule, vol. 45, no. 2, pp. 9–16, 2025.
mla: Podworny, Susanne, et al. “Explorative Datenanalyse in der Schule – Analyse
der Mediennutzung von Jugendlichen mit den YOU‑PB Daten.” Stochastik in der
Schule, vol. 45, no. 2, 2025, pp. 9–16.
short: S. Podworny, Y. Fleischer, R. Biehler, Stochastik in der Schule 45 (2025)
9–16.
date_created: 2025-07-02T09:45:14Z
date_updated: 2025-07-02T09:45:22Z
department:
- _id: '363'
intvolume: ' 45'
issue: '2'
language:
- iso: ger
page: 9-16
publication: Stochastik in der Schule
publication_status: published
status: public
title: Explorative Datenanalyse in der Schule – Analyse der Mediennutzung von Jugendlichen
mit den YOU‑PB Daten
type: journal_article
user_id: '37888'
volume: 45
year: '2025'
...
---
_id: '60532'
author:
- first_name: Rolf
full_name: Biehler, Rolf
id: '16274'
last_name: Biehler
- first_name: Carsten
full_name: Schulte, Carsten
id: '60311'
last_name: Schulte
citation:
ama: 'Biehler R, Schulte C. Lessons Learned from the ProDaBi Project: Shaping Perspectives
at the Intersection of Data, AI, and Education Towards Fostering AI and Data Science
Literacy in Schools Across Disciplines. In: Proceedings of the 1st Symposium
on Integrating AI and Data Science into School Education Across Disciplines (AIDEA
1 2025), Salzburg, Austria. ; 2025.'
apa: 'Biehler, R., & Schulte, C. (2025). Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines. In Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria.'
bibtex: '@inbook{Biehler_Schulte_2025, title={Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.}, booktitle={Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria}, author={Biehler, Rolf and
Schulte, Carsten}, year={2025} }'
chicago: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi
Project: Shaping Perspectives at the Intersection of Data, AI, and Education Towards
Fostering AI and Data Science Literacy in Schools Across Disciplines.” In Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
ieee: 'R. Biehler and C. Schulte, “Lessons Learned from the ProDaBi Project: Shaping
Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.,” in Proceedings
of the 1st Symposium on Integrating AI and Data Science into School Education
Across Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
mla: 'Biehler, Rolf, and Carsten Schulte. “Lessons Learned from the ProDaBi Project:
Shaping Perspectives at the Intersection of Data, AI, and Education Towards Fostering
AI and Data Science Literacy in Schools Across Disciplines.” Proceedings of
the 1st Symposium on Integrating AI and Data Science into School Education Across
Disciplines (AIDEA 1 2025), Salzburg, Austria, 2025.'
short: 'R. Biehler, C. Schulte, in: Proceedings of the 1st Symposium on Integrating
AI and Data Science into School Education Across Disciplines (AIDEA 1 2025), Salzburg,
Austria, 2025.'
date_created: 2025-07-07T07:24:30Z
date_updated: 2025-07-07T07:24:35Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://openreview.net/forum?id=TGsuaghKD3
oa: '1'
publication: Proceedings of the 1st Symposium on Integrating AI and Data Science into
School Education Across Disciplines (AIDEA 1 2025), Salzburg, Austria
status: public
title: 'Lessons Learned from the ProDaBi Project: Shaping Perspectives at the Intersection
of Data, AI, and Education Towards Fostering AI and Data Science Literacy in Schools
Across Disciplines.'
type: book_chapter
user_id: '37888'
year: '2025'
...
---
_id: '60816'
author:
- first_name: Uta
full_name: Häsel-Weide, Uta
id: '60267'
last_name: Häsel-Weide
orcid: 0000-0001-6278-4240
- first_name: S.
full_name: Hußmann, S.
last_name: Hußmann
- first_name: M.
full_name: Nührenbörger, M.
last_name: Nührenbörger
citation:
ama: 'Häsel-Weide U, Hußmann S, Nührenbörger M. Flexibles Addieren und Subtrahieren
im Zahlenraum bis 100. In: Rechtsteiner C, ed. Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule. Klett Kallmeyer; 2025:71-80.'
apa: Häsel-Weide, U., Hußmann, S., & Nührenbörger, M. (2025). Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100. In C. Rechtsteiner (Ed.), Rechnen richtig
lernen - flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und
Lernangebote für die Grundschule (pp. 71–80). Klett Kallmeyer.
bibtex: '@inbook{Häsel-Weide_Hußmann_Nührenbörger_2025, title={ Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100}, booktitle={Rechnen richtig lernen -
flexibel, für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote
für die Grundschule}, publisher={Klett Kallmeyer}, author={Häsel-Weide, Uta and
Hußmann, S. and Nührenbörger, M.}, editor={Rechtsteiner, C.}, year={2025}, pages={71–80}
}'
chicago: Häsel-Weide, Uta, S. Hußmann, and M. Nührenbörger. “ Flexibles Addieren
und Subtrahieren im Zahlenraum bis 100.” In Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule, edited by C. Rechtsteiner, 71–80. Klett Kallmeyer, 2025.
ieee: U. Häsel-Weide, S. Hußmann, and M. Nührenbörger, “ Flexibles Addieren und
Subtrahieren im Zahlenraum bis 100,” in Rechnen richtig lernen - flexibel,
für alle und von Anfang an. Fachdidaktische Hintergründe und Lernangebote für
die Grundschule, C. Rechtsteiner, Ed. Klett Kallmeyer, 2025, pp. 71–80.
mla: Häsel-Weide, Uta, et al. “ Flexibles Addieren und Subtrahieren im Zahlenraum
bis 100.” Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule, edited by C. Rechtsteiner,
Klett Kallmeyer, 2025, pp. 71–80.
short: 'U. Häsel-Weide, S. Hußmann, M. Nührenbörger, in: C. Rechtsteiner (Ed.),
Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule, Klett Kallmeyer, 2025, pp.
71–80.'
date_created: 2025-07-29T09:30:04Z
date_updated: 2025-07-29T09:30:28Z
department:
- _id: '543'
editor:
- first_name: C.
full_name: Rechtsteiner, C.
last_name: Rechtsteiner
language:
- iso: ger
page: 71-80
publication: Rechnen richtig lernen - flexibel, für alle und von Anfang an. Fachdidaktische
Hintergründe und Lernangebote für die Grundschule
publisher: Klett Kallmeyer
status: public
title: ' Flexibles Addieren und Subtrahieren im Zahlenraum bis 100'
type: book_chapter
user_id: '44184'
year: '2025'
...
---
_id: '60860'
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. ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING
DECISION TREES IN THE CLASSROOM. In: Cornejo C, Felmer P, Gomez DM, et al., eds.
Proceedings of the 48th Conference of the International Group for the Psychology
of Mathematics Education: Research Reports, Vol. 1 . ; 2025:267-274.'
apa: 'Fleischer, F. Y., & Biehler, R. (2025). ANALYZING STUDENTS’INFORMAL APPROACHES
TO CREATING DECISION TREES IN THE CLASSROOM. In C. Cornejo, P. Felmer, D. M. Gomez,
P. Dartnell, P. Araya, A. Peri, & V. Randolph (Eds.), Proceedings of the
48th Conference of the International Group for the Psychology of Mathematics Education:
Research Reports, Vol. 1 (pp. 267–274).'
bibtex: '@inproceedings{Fleischer_Biehler_2025, title={ANALYZING STUDENTS’INFORMAL
APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM}, booktitle={Proceedings
of the 48th Conference of the International Group for the Psychology of Mathematics
Education: Research Reports, Vol. 1 }, author={Fleischer, Franz Yannik and Biehler,
Rolf}, editor={Cornejo, C. and Felmer, P. and Gomez, D.M. and Dartnell, P. and
Araya, P. and Peri, A. and Randolph, V.}, year={2025}, pages={267–274} }'
chicago: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL
APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM.” In Proceedings of
the 48th Conference of the International Group for the Psychology of Mathematics
Education: Research Reports, Vol. 1 , edited by C. Cornejo, P. Felmer, D.M.
Gomez, P. Dartnell, P. Araya, A. Peri, and V. Randolph, 267–74, 2025.'
ieee: 'F. Y. Fleischer and R. Biehler, “ANALYZING STUDENTS’INFORMAL APPROACHES TO
CREATING DECISION TREES IN THE CLASSROOM,” in Proceedings of the 48th Conference
of the International Group for the Psychology of Mathematics Education: Research
Reports, Vol. 1 , 2025, pp. 267–274.'
mla: 'Fleischer, Franz Yannik, and Rolf Biehler. “ANALYZING STUDENTS’INFORMAL APPROACHES
TO CREATING DECISION TREES IN THE CLASSROOM.” Proceedings of the 48th Conference
of the International Group for the Psychology of Mathematics Education: Research
Reports, Vol. 1 , edited by C. Cornejo et al., 2025, pp. 267–74.'
short: 'F.Y. Fleischer, R. Biehler, in: C. Cornejo, P. Felmer, D.M. Gomez, P. Dartnell,
P. Araya, A. Peri, V. Randolph (Eds.), Proceedings of the 48th Conference of the
International Group for the Psychology of Mathematics Education: Research Reports,
Vol. 1 , 2025, pp. 267–274.'
date_created: 2025-08-04T07:15:39Z
date_updated: 2025-08-04T07:17:59Z
department:
- _id: '363'
editor:
- first_name: C.
full_name: Cornejo, C.
last_name: Cornejo
- first_name: P.
full_name: Felmer, P.
last_name: Felmer
- first_name: D.M.
full_name: Gomez, D.M.
last_name: Gomez
- first_name: P.
full_name: Dartnell, P.
last_name: Dartnell
- first_name: P.
full_name: Araya, P.
last_name: Araya
- first_name: A.
full_name: Peri, A.
last_name: Peri
- first_name: V.
full_name: Randolph, V.
last_name: Randolph
language:
- iso: eng
page: 267-274
publication: 'Proceedings of the 48th Conference of the International Group for the
Psychology of Mathematics Education: Research Reports, Vol. 1 '
status: public
title: ANALYZING STUDENTS’INFORMAL APPROACHES TO CREATING DECISION TREES IN THE CLASSROOM
type: conference
user_id: '37888'
year: '2025'
...
---
_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'
...