---
_id: '58852'
abstract:
- lang: eng
  text: "We study the asymptotic distribution of wildly ramified extensions of\r\nfunction
    fields in characteristic $p > 2$, focusing on (certain) $p$-groups of\r\nnilpotency
    class at most $2$. Rather than the discriminant, we count extensions\r\naccording
    to an invariant describing the last jump in the ramification\r\nfiltration at
    each place. We prove a local-global principle relating the\r\ndistribution of
    extensions over global function fields to their distribution\r\nover local fields,
    leading to an asymptotic formula for the number of\r\nextensions with a given
    global last-jump invariant. A key ingredient is\r\nAbrashkin's nilpotent Artin-Schreier
    theory, which lets us parametrize\r\nextensions and obtain bounds on the ramification
    of local extensions by\r\nestimating the number of solutions to certain polynomial
    equations over finite\r\nfields."
author:
- first_name: Fabian
  full_name: Gundlach, Fabian
  id: '100450'
  last_name: Gundlach
- first_name: Beranger Fabrice
  full_name: Seguin, Beranger Fabrice
  id: '102487'
  last_name: Seguin
citation:
  ama: Gundlach F, Seguin BF. Counting two-step nilpotent wildly ramified extensions
    of function  fields. <i>arXiv:250218207</i>. Published online 2025.
  apa: Gundlach, F., &#38; Seguin, B. F. (2025). Counting two-step nilpotent wildly
    ramified extensions of function  fields. In <i>arXiv:2502.18207</i>.
  bibtex: '@article{Gundlach_Seguin_2025, title={Counting two-step nilpotent wildly
    ramified extensions of function  fields}, journal={arXiv:2502.18207}, author={Gundlach,
    Fabian and Seguin, Beranger Fabrice}, year={2025} }'
  chicago: Gundlach, Fabian, and Beranger Fabrice Seguin. “Counting Two-Step Nilpotent
    Wildly Ramified Extensions of Function  Fields.” <i>ArXiv:2502.18207</i>, 2025.
  ieee: F. Gundlach and B. F. Seguin, “Counting two-step nilpotent wildly ramified
    extensions of function  fields,” <i>arXiv:2502.18207</i>. 2025.
  mla: Gundlach, Fabian, and Beranger Fabrice Seguin. “Counting Two-Step Nilpotent
    Wildly Ramified Extensions of Function  Fields.” <i>ArXiv:2502.18207</i>, 2025.
  short: F. Gundlach, B.F. Seguin, ArXiv:2502.18207 (2025).
date_created: 2025-02-26T08:51:57Z
date_updated: 2025-02-26T08:53:08Z
external_id:
  arxiv:
  - '2502.18207'
language:
- iso: eng
publication: arXiv:2502.18207
status: public
title: Counting two-step nilpotent wildly ramified extensions of function  fields
type: preprint
user_id: '100450'
year: '2025'
...
---
_id: '58885'
abstract:
- lang: eng
  text: 'There have been several attempts to conceptualize and operationalize pedagogical
    content knowledge (PCK) in the context of teachers'' professional competencies.
    A recent and popular model is the Refined Consensus Model (RCM), which proposes
    a framework of dispositional competencies (personal PCK—pPCK) that influence more
    action-related competencies (enacted PCK—ePCK) and vice versa. However, descriptions
    of the internal structure of pPCK and possible knowledge domains that might develop
    independently are still limited, being either primarily theoretically motivated
    or strictly hierarchical and therefore of limited use, for example, for formative
    feedback and further development of the RCM. Meanwhile, a non-hierarchical differentiation
    for the ePCK regarding the plan-teach-reflect cycle has emerged. In this study,
    we present an exploratory computational approach to investigate pre-service teachers''
    pPCK for a similar non-hierarchical structure using a large dataset of responses
    to a pPCK questionnaire (N=846). We drew on theoretical foundations and previous
    empirical findings to achieve interpretability by integrating this external knowledge
    into our analyses using the Computational Grounded Theory (CGT) framework. The
    results of a cluster analysis of the pPCK scores indicate the emergence of prototypical
    groups, which we refer to as competency profiles: (1) a group with low performance,
    (2) a group with relatively advanced competency in using pPCK to create instructional
    elements, (3) a group with relatively advanced competency in using pPCK to assess
    and analyze described instructional elements, and (4) a group with high performance.
    These groups show tendencies for certain language usage, which we analyze using
    a structural topic model in a CGT-inspired pattern refinement step. We verify
    these patterns by demonstrating the ability of a machine learning model to predict
    the competency profile assignments. Finally, we discuss some implications of the
    results for the further development of the RCM and their potential usability for
    an automated formative assessment.'
article_type: original
author:
- first_name: Jannis
  full_name: Zeller, Jannis
  id: '99022'
  last_name: Zeller
  orcid: 0000-0002-1834-5520
- first_name: Josef
  full_name: Riese, Josef
  id: '429'
  last_name: Riese
  orcid: 0000-0003-2927-2619
citation:
  ama: 'Zeller J, Riese J. Competency Profiles of PCK Using Unsupervised Learning:
    What Implications for the Structures of pPCK Emerge From Non-Hierarchical Analyses?
    <i>Journal of Research in Science Teaching</i>. Published online 2025. doi:<a
    href="https://doi.org/10.1002/tea.70001">10.1002/tea.70001</a>'
  apa: 'Zeller, J., &#38; Riese, J. (2025). Competency Profiles of PCK Using Unsupervised
    Learning: What Implications for the Structures of pPCK Emerge From Non-Hierarchical
    Analyses? <i>Journal of Research in Science Teaching</i>. <a href="https://doi.org/10.1002/tea.70001">https://doi.org/10.1002/tea.70001</a>'
  bibtex: '@article{Zeller_Riese_2025, title={Competency Profiles of PCK Using Unsupervised
    Learning: What Implications for the Structures of pPCK Emerge From Non-Hierarchical
    Analyses?}, DOI={<a href="https://doi.org/10.1002/tea.70001">10.1002/tea.70001</a>},
    journal={Journal of Research in Science Teaching}, author={Zeller, Jannis and
    Riese, Josef}, year={2025} }'
  chicago: 'Zeller, Jannis, and Josef Riese. “Competency Profiles of PCK Using Unsupervised
    Learning: What Implications for the Structures of PPCK Emerge From Non-Hierarchical
    Analyses?” <i>Journal of Research in Science Teaching</i>, 2025. <a href="https://doi.org/10.1002/tea.70001">https://doi.org/10.1002/tea.70001</a>.'
  ieee: 'J. Zeller and J. Riese, “Competency Profiles of PCK Using Unsupervised Learning:
    What Implications for the Structures of pPCK Emerge From Non-Hierarchical Analyses?,”
    <i>Journal of Research in Science Teaching</i>, 2025, doi: <a href="https://doi.org/10.1002/tea.70001">10.1002/tea.70001</a>.'
  mla: 'Zeller, Jannis, and Josef Riese. “Competency Profiles of PCK Using Unsupervised
    Learning: What Implications for the Structures of PPCK Emerge From Non-Hierarchical
    Analyses?” <i>Journal of Research in Science Teaching</i>, 2025, doi:<a href="https://doi.org/10.1002/tea.70001">10.1002/tea.70001</a>.'
  short: J. Zeller, J. Riese, Journal of Research in Science Teaching (2025).
date_created: 2025-03-04T08:08:37Z
date_updated: 2025-03-04T08:08:42Z
department:
- _id: '299'
doi: 10.1002/tea.70001
keyword:
- computational grounded theory
- language analysis
- machine learning
- pedagogical content knowledge
- unsupervised learning
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://onlinelibrary.wiley.com/doi/epdf/10.1002/tea.70001
oa: '1'
publication: Journal of Research in Science Teaching
publication_identifier:
  eissn:
  - 1098-2736
  issn:
  - 0022-4308
publication_status: published
status: public
title: 'Competency Profiles of PCK Using Unsupervised Learning: What Implications
  for the Structures of pPCK Emerge From Non-Hierarchical Analyses?'
type: journal_article
user_id: '99022'
year: '2025'
...
---
_id: '58924'
author:
- first_name: Hendrik
  full_name: Peeters, Hendrik
  id: '49942'
  last_name: Peeters
  orcid: https://orcid.org/ 0000-0002-7143-3781
- first_name: Sebastian
  full_name: Habig, Sebastian
  last_name: Habig
- first_name: Sabine
  full_name: Fechner, Sabine
  id: '54823'
  last_name: Fechner
  orcid: 0000-0001-5645-5870
citation:
  ama: 'Peeters H, Habig S, Fechner S. Influence de l’utilisation de la réalité augmentée
    lors des expériences chimiques sur la connexion des niveaux de représentation
    dans les explications des élèves. In: Munier V, Bächtold M, eds. <i>Actes des
    XIIIe Rencontres scientifiques de l’ARDIST</i>. ; 2025:48-55.'
  apa: Peeters, H., Habig, S., &#38; Fechner, S. (2025). Influence de l’utilisation
    de la réalité augmentée lors des expériences chimiques sur la connexion des niveaux
    de représentation dans les explications des élèves. In V. Munier &#38; M. Bächtold
    (Eds.), <i>Actes des XIIIe Rencontres scientifiques de l’ARDIST</i> (pp. 48–55).
  bibtex: '@inproceedings{Peeters_Habig_Fechner_2025, title={Influence de l’utilisation
    de la réalité augmentée lors des expériences chimiques sur la connexion des niveaux
    de représentation dans les explications des élèves}, booktitle={Actes des XIIIe
    Rencontres scientifiques de l’ARDIST}, author={Peeters, Hendrik and Habig, Sebastian
    and Fechner, Sabine}, editor={Munier, Valérie and Bächtold, Manuel}, year={2025},
    pages={48–55} }'
  chicago: Peeters, Hendrik, Sebastian Habig, and Sabine Fechner. “Influence de l’utilisation
    de la réalité augmentée lors des expériences chimiques sur la connexion des niveaux
    de représentation dans les explications des élèves.” In <i>Actes des XIIIe Rencontres
    scientifiques de l’ARDIST</i>, edited by Valérie Munier and Manuel Bächtold, 48–55,
    2025.
  ieee: H. Peeters, S. Habig, and S. Fechner, “Influence de l’utilisation de la réalité
    augmentée lors des expériences chimiques sur la connexion des niveaux de représentation
    dans les explications des élèves,” in <i>Actes des XIIIe Rencontres scientifiques
    de l’ARDIST</i>, Montpellier, 2025, pp. 48–55.
  mla: Peeters, Hendrik, et al. “Influence de l’utilisation de la réalité augmentée
    lors des expériences chimiques sur la connexion des niveaux de représentation
    dans les explications des élèves.” <i>Actes des XIIIe Rencontres scientifiques
    de l’ARDIST</i>, edited by Valérie Munier and Manuel Bächtold, 2025, pp. 48–55.
  short: 'H. Peeters, S. Habig, S. Fechner, in: V. Munier, M. Bächtold (Eds.), Actes
    des XIIIe Rencontres scientifiques de l’ARDIST, 2025, pp. 48–55.'
conference:
  end_date: 2024-06-07
  location: Montpellier
  name: ' XIIIe Rencontres scientifiques de l’ARDIST'
  start_date: 2024-06-04
date_created: 2025-03-06T13:44:19Z
date_updated: 2025-03-06T13:51:25Z
department:
- _id: '386'
editor:
- first_name: Valérie
  full_name: Munier, Valérie
  last_name: Munier
- first_name: Manuel
  full_name: Bächtold, Manuel
  last_name: Bächtold
language:
- iso: fre
main_file_link:
- open_access: '1'
  url: https://ardist2024.sciencesconf.org/data/pages/Actes_13e_Rencontres_ARDiST.pdf
oa: '1'
page: 48-55
publication: Actes des XIIIe Rencontres scientifiques de l’ARDIST
publication_status: published
status: public
title: Influence de l'utilisation de la réalité augmentée lors des expériences chimiques
  sur la connexion des niveaux de représentation dans les explications des élèves
type: conference
user_id: '49942'
year: '2025'
...
---
_id: '58925'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n          <jats:p>Random fluctuations
    in somatosensory signals affect the ability of effectively coordinating multimodal
    information pertaining to the postural state during movement. Therefore, this
    study aimed to investigate the impact of a compliant surface on cortico-cortical
    causal information flow during multi-joint compound movements. Fifteen healthy
    adults (7 female / 8 male, 25.9 ± 4.0 years) performed 5 × 20 repetitions of bodyweight
    squats on firm and compliant surface. Motor behavior was quantified by center
    of pressure (CoP) displacements, hip movement and the root mean square of the
    rectus femoris activity. Using source space analysis, renormalized partial directed
    coherence (rPDC) computed subject-level multivariate effective brain connectivity
    of sensorimotor nodes. Bootstrap statistics revealed significantly decreased medio-lateral
    CoP displacement (<jats:italic>p</jats:italic> &lt; 0.001), significantly increased
    velocity of medio-lateral hip motion (<jats:italic>p</jats:italic> &lt; 0.001)
    as well as significantly lower rectus femoris activity (<jats:italic>p</jats:italic> &lt; 0.01)
    in the compliant surface condition. On the cortical level, rPDC showed significantly
    modulated information flow in theta and beta frequencies for fronto-parietal edges
    (<jats:italic>p</jats:italic> &lt; 0.01) only during the concentric phase of the
    movement. The compliant surface led to increased difficulties controlling hip
    but not center of pressure motion in the medio-lateral plane. Moreover, a decreased
    activation of the prime movers accompanied by modulations of effective brain connectivity
    among fronto-central nodes may point to altered demands on sensorimotor information
    processing in presence of sensory noise when performing bodyweight squats on compliant
    surface. Further studies are needed to evaluate a potential benefit for athletic
    and clinical populations.</jats:p>"
article_number: '80'
author:
- first_name: Tim
  full_name: Lehmann, Tim
  id: '41584'
  last_name: Lehmann
- first_name: Anton Samuel
  full_name: Visser, Anton Samuel
  id: '52012'
  last_name: Visser
- first_name: Tim
  full_name: Havers, Tim
  last_name: Havers
- first_name: Daniel
  full_name: Büchel, Daniel
  id: '41088'
  last_name: Büchel
- first_name: Jochen
  full_name: Baumeister, Jochen
  id: '46'
  last_name: Baumeister
  orcid: 0000-0003-2683-5826
citation:
  ama: Lehmann T, Visser AS, Havers T, Büchel D, Baumeister J. Dynamic modulations
    of effective brain connectivity associated with postural instability during multi-joint
    compound movement on compliant surface. <i>Experimental Brain Research</i>. 2025;243(4).
    doi:<a href="https://doi.org/10.1007/s00221-025-07039-2">10.1007/s00221-025-07039-2</a>
  apa: Lehmann, T., Visser, A. S., Havers, T., Büchel, D., &#38; Baumeister, J. (2025).
    Dynamic modulations of effective brain connectivity associated with postural instability
    during multi-joint compound movement on compliant surface. <i>Experimental Brain
    Research</i>, <i>243</i>(4), Article 80. <a href="https://doi.org/10.1007/s00221-025-07039-2">https://doi.org/10.1007/s00221-025-07039-2</a>
  bibtex: '@article{Lehmann_Visser_Havers_Büchel_Baumeister_2025, title={Dynamic modulations
    of effective brain connectivity associated with postural instability during multi-joint
    compound movement on compliant surface}, volume={243}, DOI={<a href="https://doi.org/10.1007/s00221-025-07039-2">10.1007/s00221-025-07039-2</a>},
    number={480}, journal={Experimental Brain Research}, publisher={Springer Science
    and Business Media LLC}, author={Lehmann, Tim and Visser, Anton Samuel and Havers,
    Tim and Büchel, Daniel and Baumeister, Jochen}, year={2025} }'
  chicago: Lehmann, Tim, Anton Samuel Visser, Tim Havers, Daniel Büchel, and Jochen
    Baumeister. “Dynamic Modulations of Effective Brain Connectivity Associated with
    Postural Instability during Multi-Joint Compound Movement on Compliant Surface.”
    <i>Experimental Brain Research</i> 243, no. 4 (2025). <a href="https://doi.org/10.1007/s00221-025-07039-2">https://doi.org/10.1007/s00221-025-07039-2</a>.
  ieee: 'T. Lehmann, A. S. Visser, T. Havers, D. Büchel, and J. Baumeister, “Dynamic
    modulations of effective brain connectivity associated with postural instability
    during multi-joint compound movement on compliant surface,” <i>Experimental Brain
    Research</i>, vol. 243, no. 4, Art. no. 80, 2025, doi: <a href="https://doi.org/10.1007/s00221-025-07039-2">10.1007/s00221-025-07039-2</a>.'
  mla: Lehmann, Tim, et al. “Dynamic Modulations of Effective Brain Connectivity Associated
    with Postural Instability during Multi-Joint Compound Movement on Compliant Surface.”
    <i>Experimental Brain Research</i>, vol. 243, no. 4, 80, Springer Science and
    Business Media LLC, 2025, doi:<a href="https://doi.org/10.1007/s00221-025-07039-2">10.1007/s00221-025-07039-2</a>.
  short: T. Lehmann, A.S. Visser, T. Havers, D. Büchel, J. Baumeister, Experimental
    Brain Research 243 (2025).
date_created: 2025-03-06T18:56:34Z
date_updated: 2025-03-06T18:57:03Z
department:
- _id: '172'
doi: 10.1007/s00221-025-07039-2
intvolume: '       243'
issue: '4'
language:
- iso: eng
publication: Experimental Brain Research
publication_identifier:
  issn:
  - 0014-4819
  - 1432-1106
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Dynamic modulations of effective brain connectivity associated with postural
  instability during multi-joint compound movement on compliant surface
type: journal_article
user_id: '46'
volume: 243
year: '2025'
...
---
_id: '58691'
author:
- first_name: Vanessa
  full_name: Albus, Vanessa
  id: '80690'
  last_name: Albus
citation:
  ama: 'Albus V. Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der Nachhaltigkeit?
    In: Kokoschka V, Kosak S, Paganini C, Rademacher L, eds. <i>Nachhaltigkeit in
    der Medienkommunikation. Ethische Anforderungen und praktische Lösungsansätze</i>.
    Vol 23. Kommunikations- und Medienethik. Nomos; 2025:171-184.'
  apa: Albus, V. (2025). Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft
    der Nachhaltigkeit? In V. Kokoschka, S. Kosak, C. Paganini, &#38; L. Rademacher
    (Eds.), <i>Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen und
    praktische Lösungsansätze</i> (Vol. 23, pp. 171–184). Nomos.
  bibtex: '@inbook{Albus_2025, place={Baden-Baden}, series={Kommunikations- und Medienethik},
    title={Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der Nachhaltigkeit?},
    volume={23}, booktitle={Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen
    und praktische Lösungsansätze}, publisher={Nomos}, author={Albus, Vanessa}, editor={Kokoschka,
    Vanessa and Kosak, Stefan and Paganini, Claudia and Rademacher, Lars}, year={2025},
    pages={171–184}, collection={Kommunikations- und Medienethik} }'
  chicago: 'Albus, Vanessa. “Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft
    der Nachhaltigkeit?” In <i>Nachhaltigkeit in der Medienkommunikation. Ethische
    Anforderungen und praktische Lösungsansätze</i>, edited by Vanessa Kokoschka,
    Stefan Kosak, Claudia Paganini, and Lars Rademacher, 23:171–84. Kommunikations-
    und Medienethik. Baden-Baden: Nomos, 2025.'
  ieee: 'V. Albus, “Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der Nachhaltigkeit?,”
    in <i>Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen und praktische
    Lösungsansätze</i>, vol. 23, V. Kokoschka, S. Kosak, C. Paganini, and L. Rademacher,
    Eds. Baden-Baden: Nomos, 2025, pp. 171–184.'
  mla: Albus, Vanessa. “Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der
    Nachhaltigkeit?” <i>Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen
    und praktische Lösungsansätze</i>, edited by Vanessa Kokoschka et al., vol. 23,
    Nomos, 2025, pp. 171–84.
  short: 'V. Albus, in: V. Kokoschka, S. Kosak, C. Paganini, L. Rademacher (Eds.),
    Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen und praktische
    Lösungsansätze, Nomos, Baden-Baden, 2025, pp. 171–184.'
date_created: 2025-02-18T11:05:17Z
date_updated: 2025-03-06T21:48:36Z
ddc:
- '100'
editor:
- first_name: Vanessa
  full_name: Kokoschka, Vanessa
  last_name: Kokoschka
- first_name: Stefan
  full_name: Kosak, Stefan
  last_name: Kosak
- first_name: Claudia
  full_name: Paganini, Claudia
  last_name: Paganini
- first_name: Lars
  full_name: Rademacher, Lars
  last_name: Rademacher
file:
- access_level: open_access
  content_type: application/pdf
  creator: nilsz
  date_created: 2025-03-06T21:47:04Z
  date_updated: 2025-03-06T21:47:04Z
  file_id: '58927'
  file_name: Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der Nachhaltigkeit.pdf
  file_size: 134898
  relation: main_file
file_date_updated: 2025-03-06T21:47:04Z
has_accepted_license: '1'
intvolume: '        23'
language:
- iso: ger
oa: '1'
page: 171-184
place: Baden-Baden
publication: Nachhaltigkeit in der Medienkommunikation. Ethische Anforderungen und
  praktische Lösungsansätze
publication_identifier:
  isbn:
  - ISBN 978-3-7560-1814-7
  - ISBN 978-3-7489-4061-6 (eBook)
publication_status: published
publisher: Nomos
related_material:
  link:
  - relation: contains
    url: https://www.nomos-elibrary.de/10.5771/9783748940616-171/paradigmenwechsel-und-metapher-ein-weg-zur-gesellschaft-der-nachhaltigkeit?page=3
series_title: Kommunikations- und Medienethik
status: public
title: Paradigmenwechsel und Metapher. Ein Weg zur Gesellschaft der Nachhaltigkeit?
type: book_chapter
user_id: '57447'
volume: 23
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. <i>arXiv:250307576</i>. Published online
    2025.
  apa: Gerlach, R., &#38; von der Gracht, S. (2025). Analyzing Symmetries of Swarms
    of Mobile Robots Using Equivariant  Dynamical Systems. In <i>arXiv:2503.07576</i>.
  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.” <i>ArXiv:2503.07576</i>,
    2025.
  ieee: R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile
    Robots Using Equivariant  Dynamical Systems,” <i>arXiv:2503.07576</i>. 2025.
  mla: Gerlach, Raphael, and Sören von der Gracht. “Analyzing Symmetries of Swarms
    of Mobile Robots Using Equivariant  Dynamical Systems.” <i>ArXiv:2503.07576</i>,
    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: '59069'
abstract:
- lang: eng
  text: <jats:p>Stable and bright single photon sources are key components for future
    quantum applications. A simple fabrication method is an important requirement
    for such sources. Here, we present a single photon source based on diced ridge
    waveguides in titanium indiffused LiNbO<jats:sub>3</jats:sub>. These waveguides
    can be easily fabricated by combining planar titanium in-diffusion without lithographic
    patterning and easy-to-handle precision dicing. Such devices have the potential
    to generate high single photon rates because ridge structures are typically less
    prone to the photorefractive effect. We achieve waveguide propagation losses &lt;0.4dBcm
    and a SHG conversion efficiency of about 81%Wcm<jats:sup>2</jats:sup>. Harnessing
    a type-0 SPDC process to generate 1550 nm photons, we obtain a SPDC brightness
    of 3⋅10<jats:sup>5</jats:sup>1s⋅mW⋅nm, with a heralding efficiency of <jats:italic>η</jats:italic><jats:sub>h</jats:sub>=45%
    (<jats:italic>η</jats:italic><jats:sub>h,wg</jats:sub>=77.5% for the waveguide
    itself excluded setup losses) and a heralded second-order correlation function
    of <jats:italic>g</jats:italic><jats:sub>h</jats:sub><jats:sup>2</jats:sup>(0)&lt;0.003
    at low pump powers.</jats:p>
article_number: '593'
article_type: original
author:
- first_name: Christian
  full_name: Kießler, Christian
  id: '44252'
  last_name: Kießler
- first_name: Michelle
  full_name: Kirsch, Michelle
  id: '69553'
  last_name: Kirsch
- first_name: Sebastian
  full_name: Lengeling, Sebastian
  id: '44373'
  last_name: Lengeling
- first_name: Harald
  full_name: Herrmann, Harald
  id: '216'
  last_name: Herrmann
- first_name: Christine
  full_name: Silberhorn, Christine
  id: '26263'
  last_name: Silberhorn
citation:
  ama: Kießler C, Kirsch M, Lengeling S, Herrmann H, Silberhorn C. SPDC single-photon
    source in Ti-indiffused diced ridge LiNbO<sub>3</sub> waveguides. <i>Optics Continuum</i>.
    2025;4(3). doi:<a href="https://doi.org/10.1364/optcon.557439">10.1364/optcon.557439</a>
  apa: Kießler, C., Kirsch, M., Lengeling, S., Herrmann, H., &#38; Silberhorn, C.
    (2025). SPDC single-photon source in Ti-indiffused diced ridge LiNbO<sub>3</sub>
    waveguides. <i>Optics Continuum</i>, <i>4</i>(3), Article 593. <a href="https://doi.org/10.1364/optcon.557439">https://doi.org/10.1364/optcon.557439</a>
  bibtex: '@article{Kießler_Kirsch_Lengeling_Herrmann_Silberhorn_2025, title={SPDC
    single-photon source in Ti-indiffused diced ridge LiNbO<sub>3</sub> waveguides},
    volume={4}, DOI={<a href="https://doi.org/10.1364/optcon.557439">10.1364/optcon.557439</a>},
    number={3593}, journal={Optics Continuum}, publisher={Optica Publishing Group},
    author={Kießler, Christian and Kirsch, Michelle and Lengeling, Sebastian and Herrmann,
    Harald and Silberhorn, Christine}, year={2025} }'
  chicago: Kießler, Christian, Michelle Kirsch, Sebastian Lengeling, Harald Herrmann,
    and Christine Silberhorn. “SPDC Single-Photon Source in Ti-Indiffused Diced Ridge
    LiNbO<sub>3</sub> Waveguides.” <i>Optics Continuum</i> 4, no. 3 (2025). <a href="https://doi.org/10.1364/optcon.557439">https://doi.org/10.1364/optcon.557439</a>.
  ieee: 'C. Kießler, M. Kirsch, S. Lengeling, H. Herrmann, and C. Silberhorn, “SPDC
    single-photon source in Ti-indiffused diced ridge LiNbO<sub>3</sub> waveguides,”
    <i>Optics Continuum</i>, vol. 4, no. 3, Art. no. 593, 2025, doi: <a href="https://doi.org/10.1364/optcon.557439">10.1364/optcon.557439</a>.'
  mla: Kießler, Christian, et al. “SPDC Single-Photon Source in Ti-Indiffused Diced
    Ridge LiNbO<sub>3</sub> Waveguides.” <i>Optics Continuum</i>, vol. 4, no. 3, 593,
    Optica Publishing Group, 2025, doi:<a href="https://doi.org/10.1364/optcon.557439">10.1364/optcon.557439</a>.
  short: C. Kießler, M. Kirsch, S. Lengeling, H. Herrmann, C. Silberhorn, Optics Continuum
    4 (2025).
date_created: 2025-03-19T10:56:04Z
date_updated: 2025-03-19T16:03:25Z
department:
- _id: '15'
- _id: '623'
- _id: '288'
doi: 10.1364/optcon.557439
intvolume: '         4'
issue: '3'
language:
- iso: eng
publication: Optics Continuum
publication_identifier:
  issn:
  - 2770-0208
publication_status: published
publisher: Optica Publishing Group
status: public
title: SPDC single-photon source in Ti-indiffused diced ridge LiNbO<sub>3</sub> waveguides
type: journal_article
user_id: '216'
volume: 4
year: '2025'
...
---
_id: '59087'
author:
- first_name: Michael
  full_name: Ströhmer, Michael
  id: '523'
  last_name: Ströhmer
citation:
  ama: 'Ströhmer M. Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten Nichts
    - Naturphilosophische Experimente des 17. Jahrhunderts im europäischen Jesuitennetzwerk.
    In: <i>KOmmunale Wasserregime - Wasser und Macht in der europäischen Stadt, 1300-1900</i>.
    Vol 4. Umwelt- und Klimageschichte. ; 2025:141-164.'
  apa: Ströhmer, M. (2025). Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten
    Nichts - Naturphilosophische Experimente des 17. Jahrhunderts im europäischen
    Jesuitennetzwerk. In <i>KOmmunale Wasserregime - Wasser und Macht in der europäischen
    Stadt, 1300-1900</i> (Vol. 4, pp. 141–164).
  bibtex: '@inbook{Ströhmer_2025, place={Bielefeld}, series={Umwelt- und Klimageschichte},
    title={Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten Nichts - Naturphilosophische
    Experimente des 17. Jahrhunderts im europäischen Jesuitennetzwerk}, volume={4},
    booktitle={KOmmunale Wasserregime - Wasser und Macht in der europäischen Stadt,
    1300-1900}, author={Ströhmer, Michael}, year={2025}, pages={141–164}, collection={Umwelt-
    und Klimageschichte} }'
  chicago: Ströhmer, Michael. “Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten
    Nichts - Naturphilosophische Experimente des 17. Jahrhunderts im europäischen
    Jesuitennetzwerk.” In <i>KOmmunale Wasserregime - Wasser und Macht in der europäischen
    Stadt, 1300-1900</i>, 4:141–64. Umwelt- und Klimageschichte. Bielefeld, 2025.
  ieee: M. Ströhmer, “Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten
    Nichts - Naturphilosophische Experimente des 17. Jahrhunderts im europäischen
    Jesuitennetzwerk,” in <i>KOmmunale Wasserregime - Wasser und Macht in der europäischen
    Stadt, 1300-1900</i>, vol. 4, Bielefeld, 2025, pp. 141–164.
  mla: Ströhmer, Michael. “Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten
    Nichts - Naturphilosophische Experimente des 17. Jahrhunderts im europäischen
    Jesuitennetzwerk.” <i>KOmmunale Wasserregime - Wasser und Macht in der europäischen
    Stadt, 1300-1900</i>, vol. 4, 2025, pp. 141–64.
  short: 'M. Ströhmer, in: KOmmunale Wasserregime - Wasser und Macht in der europäischen
    Stadt, 1300-1900, Bielefeld, 2025, pp. 141–164.'
date_created: 2025-03-22T13:07:14Z
date_updated: 2025-03-22T13:07:40Z
intvolume: '         4'
language:
- iso: ger
page: 141-164
place: Bielefeld
publication: KOmmunale Wasserregime - Wasser und Macht in der europäischen Stadt,
  1300-1900
publication_identifier:
  isbn:
  - 978-3-8376-7161-2
publication_status: published
series_title: Umwelt- und Klimageschichte
status: public
title: Von Paderborner Saugpumpen, Wasserkünsten und dem absoluten Nichts - Naturphilosophische
  Experimente des 17. Jahrhunderts im europäischen Jesuitennetzwerk
type: book_chapter
user_id: '523'
volume: 4
year: '2025'
...
---
_id: '59086'
citation:
  ama: Ströhmer M, Fäßler P, eds. <i>Kommunale Wasserregime - Wasser und Macht in
    der europäischen Stadt 1300-1900</i>. Vol 4.
  apa: Ströhmer, M., &#38; Fäßler, P. (Eds.). (n.d.). <i>Kommunale Wasserregime -
    Wasser und Macht in der europäischen Stadt 1300-1900</i> (Vol. 4).
  bibtex: '@book{Ströhmer_Fäßler, place={Bielefeld}, series={Umwelt- und Klimageschichte},
    title={Kommunale Wasserregime - Wasser und Macht in der europäischen Stadt 1300-1900},
    volume={4}, collection={Umwelt- und Klimageschichte} }'
  chicago: Ströhmer, Michael, and Peter Fäßler, eds. <i>Kommunale Wasserregime - Wasser
    und Macht in der europäischen Stadt 1300-1900</i>. Vol. 4. Umwelt- und Klimageschichte.
    Bielefeld, n.d.
  ieee: M. Ströhmer and P. Fäßler, Eds., <i>Kommunale Wasserregime - Wasser und Macht
    in der europäischen Stadt 1300-1900</i>, vol. 4. Bielefeld.
  mla: Ströhmer, Michael, and Peter Fäßler, editors. <i>Kommunale Wasserregime - Wasser
    und Macht in der europäischen Stadt 1300-1900</i>.
  short: M. Ströhmer, P. Fäßler, eds., Kommunale Wasserregime - Wasser und Macht in
    der europäischen Stadt 1300-1900, Bielefeld, n.d.
date_created: 2025-03-22T12:56:57Z
date_updated: 2025-03-22T13:01:58Z
editor:
- first_name: Michael
  full_name: Ströhmer, Michael
  last_name: Ströhmer
- first_name: Peter
  full_name: Fäßler, Peter
  last_name: Fäßler
intvolume: '         4'
language:
- iso: ger
page: '296'
place: Bielefeld
publication_identifier:
  unknown:
  - 978-3-8376-7161-2
publication_status: unpublished
series_title: Umwelt- und Klimageschichte
status: public
title: Kommunale Wasserregime - Wasser und Macht in der europäischen Stadt 1300-1900
type: book_editor
user_id: '523'
volume: 4
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.
    <i>Combinatorica</i>. 2025;45(2). doi:<a href="https://doi.org/10.1007/s00493-025-00144-4">10.1007/s00493-025-00144-4</a>
  apa: Ma, Y., Mattiolo, D., Steffen, E., &#38; Wolf, I. H. (2025). Sets of r-Graphs
    that Color All r-Graphs. <i>Combinatorica</i>, <i>45</i>(2), Article 16. <a href="https://doi.org/10.1007/s00493-025-00144-4">https://doi.org/10.1007/s00493-025-00144-4</a>
  bibtex: '@article{Ma_Mattiolo_Steffen_Wolf_2025, title={Sets of r-Graphs that Color
    All r-Graphs}, volume={45}, DOI={<a href="https://doi.org/10.1007/s00493-025-00144-4">10.1007/s00493-025-00144-4</a>},
    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.” <i>Combinatorica</i> 45, no. 2 (2025). <a href="https://doi.org/10.1007/s00493-025-00144-4">https://doi.org/10.1007/s00493-025-00144-4</a>.
  ieee: 'Y. Ma, D. Mattiolo, E. Steffen, and I. H. Wolf, “Sets of r-Graphs that Color
    All r-Graphs,” <i>Combinatorica</i>, vol. 45, no. 2, Art. no. 16, 2025, doi: <a
    href="https://doi.org/10.1007/s00493-025-00144-4">10.1007/s00493-025-00144-4</a>.'
  mla: Ma, Yulai, et al. “Sets of R-Graphs That Color All r-Graphs.” <i>Combinatorica</i>,
    vol. 45, no. 2, 16, Springer Science and Business Media LLC, 2025, doi:<a href="https://doi.org/10.1007/s00493-025-00144-4">10.1007/s00493-025-00144-4</a>.
  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: '59263'
abstract:
- lang: eng
  text: In dieser Arbeit betrachten wir algorithmische Lösungen für fundamentale Probleme
    in modernen Kommunikationsnetzen. Im ersten Teil dieser Arbeit zeigen wir, wie
    man ein Overlay-Netzwerk mit Grades und Durchmesser O(log n) in O(log n) Runden
    ausgehend von einem beliebigen, schwach verbundenen Graphen konstruiert. Wir gehen
    von einem synchronen Kommunikationsnetz aus, in dem Knoten Nachrichten an alle
    Knoten senden können, deren Adresse sie kennen, und neue Verbindungen durch das
    Versenden dieser Adressen hergestellt werden können. Wenn der Ausgangsgraph des
    Netzwerks schwach zusammenhängend ist und einen konstanten Grad hat, dann konstruiert
    unser Algorithmus die gewünschte Topologie mit hoher Wahrscheinlichkeit in O(log
    n) Runden, wobei in jeder Runde nur O(log n) Nachrichten sendet und empfängt.
    Da das Problem nicht schneller gelöst werden kann als durch sogenanntes Pointer
    Doubling für O(log n) Runden (was sogar erfordern würde, dass jeder Knoten Ω(n)
    Bits kommuniziert), ist unser Algorithmus asymptotisch optimal. Außerdem zeigen
    wir, wie unser Algorithmus zur effizienten Lösung von Graphenproblemen im HYBRID
    modelverwendet werden kann. Motiviert durch die Idee, dass Knoten zwei verschiedene
    Arten der Kommunikation besitzen, nehmen wir an, dass die Kommunikation der Kanten
    unbeschränkt ist, während nur polylogarithmisch viele Nachrichten über Kanten
    gesendet werden können, die während der Ausführung eines Algorithmus etabliert
    wurden. Für einen (ungerichteten) Graphen G mit beliebigem Grad zeigen wir, wie
    man zusammenhängende Komponenten und einen Spannwald mit hoher Wahrscheinlichkeit
    in O(log n) Zeitberechnen kann. Außerdem zeigen wir, wie man ein MIS mit hoher
    Wahrscheinlichkeit in O(log ∆ + log log n), berechnet, wobei ∆ der Grad von G
    ist. Im zweiten Teil der Arbeit betrachten wir das Problem der Berechnung von
    kompakten Routing-Tabellen und Dekompositionen mit geringem Durchmesser für einen
    (gewichteten) Graphen G := (V, E, ℓ), der durch k kürzeste Wege separiert werden
    kann. Zu dieser Klasse von Graphen gehören planare Graphen, Graphen mit beschränkter
    Treewidth und Graphen, die einen festen Minor Kr ausschließen. Wir präsentieren
    Algorithmen im CONGEST- und im neuartigen HYBRID-Kommunikationsmodell, die in
    allen relevanten Parametern konkurrenzfähig sind:• Für einen gegebenen Parameter
    ϵ &gt; 0 berechnen wir ein Routing-Schema mit Stretch 1 + ϵ. Unser Schema berechnet
    Label der Größe Oe(kϵ−2) und wird in Oe(kϵ−3) Zeit im HYBRID-Modell, und Oe(kϵ−3·
    HD) Zeit in CONGEST. Dabei bezeichnet HD den Hopdurchmesser des Graphen.• Für
    einem Parameter D &gt; 0 unterteilt unser Algorithmus zur Dekomposition den Graphen
    in zusammenhängende Subgraphen mit starkem Durchmesser D. Eine Kante e ∈ E der
    Länge ℓe hat ihre Endpunkte in zwei verschieden Subgraphen mit der Wahrscheinlichkeit
    O(ℓe·log(k log n)/D). Die Dekomposition kann in Oe(k) Zeit im HYBRID-Modell und
    O˜(kHD) Zeit in CONGEST berechnet werden. Wir stellen verteilte und parallele
    Implementierungen von sequenziellen Divide-and-Conquer-Algorithmen vor, bei denen
    wir exakte kürzeste Pfade durch approximative kürzeste Pfade ersetzen. Im Gegensatz
    zu exakten Pfaden können diese in der verteilten und parallelen Umgebung effizient
    berechnet werden. Außerdem, zeigen wir, dass es ausreicht, anstelle der expliziten
    Berechnung von Vertex-Separatoren, einige zufällige Pfade begrenzter Länge zu
    wählen und die Separatoren um diese herum zu konstruieren. Schließlich stellen
    wir einen SetCover-Algorithmus für das Beeping-Modell vor. Unser Algorithmus läuft
    in O(k3) Zeit und hat eine erwartete Approximationsgüte von O(∆3/k log2 ∆). Der
    Wert k ∈ [3, log ∆] ist ein Parameter, mit dem wir Laufzeit gegen Approximationsgüte
    eintauschen können, ähnlich wie bei dem Algorithmus von Kuhn und Wattenhofer [PODC
    ’03]. Dieser Algorithmus kann erweitert werden, um das DominatingSet-Problem in
    der D-Nachbarschaft eines Graphen mittles eines verteiltes Algorithmus effizient
    zu lösen.
- lang: eng
  text: This thesis considers algorithmic solutions to problems that arise in the
    theoretical study of modern communication networks, such ast he Internet. The
    thesis is divided into two main parts. In the first part of this thesis, we show
    how to construct an overlay network of degree O(log n) and diameter O(log n) in
    O(log n) time starting from an arbitrary weakly connected graph. We assume a synchronous
    communication network in which nodes can send messages to nodes they know the
    identifier of, and new connections can be established by sending node identifiers.
    If the initial network’s graph is weakly connected and has constant degree, then
    our algorithm constructs the desired topology with each node sending and receiving
    only O(log n) messages in each round in time O(log n), w.h.p. Since the problem
    cannot be solved faster than by using pointer jumping for O(log n) rounds (which
    would even require each node to communicate Ω(n) bits), our algorithm is asymptotically
    optimal. Additionally, we show how our algorithm can be used to efficiently solvegraph
    problems in the novel HYBRID model. Motivated by the idea that nodes possess two
    different modes of communication, we assume that communication of the initial
    edges is unrestricted, whereas only polylogarithmically many messages can be sent
    over edges that have been established throughout an algorithm’s execution. For
    an (undirected) graph G with arbitrary degree, we show how tocompute connected
    components and a spanning forest in O(log n) time, w.h.p. Furthermore, we show
    how to compute an MIS in timeO(log ∆ + log log n), w.h.p., where ∆ is the initial
    degree of G. In the second part of the thesis, we consider the problems of computing
    compact routing tables and low-diameter decompositions for a (weighted) graph
    G := (V, E, ℓ) that can be separated through k shortest paths. This class of graphs
    includes planar graphs, graphs of bounded treewidth, and graphs that exclude a
    fixed minor Kr. We present algorithms in the CONGEST and the novel HYBRID communication
    model that are competitive in all relevant parameters:• For a given parameter
    ϵ &gt; 0, we compute a routing scheme with stretch 1 + ϵ. Our scheme computes
    labels of size Oe(kϵ−2)and is computed in Oe(kϵ−3) time in the HYBRID model and
    Oe(kϵ−3· HD) time in CONGEST. Here, HD denotes thenetwork’s hop diameter.• Given
    a parameter D &gt; 0, our low-diameter decomposition algorithm divides the graph
    into connected subgraphs of strongdiameter D. An edge e ∈ E of length ℓe has endpoints
    in different subgraphs with probability O(ℓe·log(k log n)/D). The decomposition
    can be computed in Oe(k) time in the HYBRID model and O˜(kHD) time in CONGEST.Broadly
    speaking, we present distributed and parallel implementations of sequential divide-and-conquer
    algorithms where we replaceexact shortest paths with approximate shortest paths.
    In contrast to exact paths, these can be efficiently computed in the distributed
    and parallel setting. Further, and perhaps more importantly, we show that instead
    of explicitly computing vertex-separators to enable efficientparallelization of
    these algorithms, it suffices to sample a few random paths of bounded length and
    the nodes close to them. Finally, we present a SetCover algorithm in the Beeping
    model. Our algorithm runs in O(k3) time and has an expected approximation ratio
    ofO(∆3/k log2 ∆). The value k ∈ [3, log ∆] is a parameter that lets us trade runtime
    for approximation ratio similar to the celebrated algorithm by Kuhn and Wattenhofer
    [PODC ’03]. This algorithm can then be extended to effieciently solve the DominatingSet-problem
    in a graph’s D-neigborhood in a distributed fashion.
author:
- first_name: Thorsten
  full_name: Götte, Thorsten
  last_name: Götte
citation:
  ama: Götte T. <i>Distributed Algorithms for Modern Communication Networks</i>. LibreCat
    University; 2025. doi:<a href="https://doi.org/10.17619/UNIPB/1-2217">10.17619/UNIPB/1-2217</a>
  apa: Götte, T. (2025). <i>Distributed Algorithms for Modern Communication Networks</i>.
    LibreCat University. <a href="https://doi.org/10.17619/UNIPB/1-2217">https://doi.org/10.17619/UNIPB/1-2217</a>
  bibtex: '@book{Götte_2025, title={Distributed Algorithms for Modern Communication
    Networks}, DOI={<a href="https://doi.org/10.17619/UNIPB/1-2217">10.17619/UNIPB/1-2217</a>},
    publisher={LibreCat University}, author={Götte, Thorsten}, year={2025} }'
  chicago: Götte, Thorsten. <i>Distributed Algorithms for Modern Communication Networks</i>.
    LibreCat University, 2025. <a href="https://doi.org/10.17619/UNIPB/1-2217">https://doi.org/10.17619/UNIPB/1-2217</a>.
  ieee: T. Götte, <i>Distributed Algorithms for Modern Communication Networks</i>.
    LibreCat University, 2025.
  mla: Götte, Thorsten. <i>Distributed Algorithms for Modern Communication Networks</i>.
    LibreCat University, 2025, doi:<a href="https://doi.org/10.17619/UNIPB/1-2217">10.17619/UNIPB/1-2217</a>.
  short: T. Götte, Distributed Algorithms for Modern Communication Networks, LibreCat
    University, 2025.
date_created: 2025-04-02T14:02:32Z
date_updated: 2025-04-02T14:07:48Z
doi: 10.17619/UNIPB/1-2217
extern: '1'
language:
- iso: eng
publisher: LibreCat University
status: public
title: Distributed Algorithms for Modern Communication Networks
type: dissertation
user_id: '34727'
year: '2025'
...
---
_id: '59287'
alternative_title:
- Proceedings of the 18th International Conference on Wirtschaftsinformatik, Paderborn,
  Germany, 2023, Vol. 2
citation:
  ama: Beverungen D, Lehrer C, Trier M, eds. <i>Solutions and Technologies for Responsible
    Digitalization</i>. Springer Nature Switzerland; 2025. doi:<a href="https://doi.org/10.1007/978-3-031-80122-8">10.1007/978-3-031-80122-8</a>
  apa: Beverungen, D., Lehrer, C., &#38; Trier, M. (Eds.). (2025). <i>Solutions and
    Technologies for Responsible Digitalization</i>. Springer Nature Switzerland.
    <a href="https://doi.org/10.1007/978-3-031-80122-8">https://doi.org/10.1007/978-3-031-80122-8</a>
  bibtex: '@book{Beverungen_Lehrer_Trier_2025, place={Cham}, title={Solutions and
    Technologies for Responsible Digitalization}, DOI={<a href="https://doi.org/10.1007/978-3-031-80122-8">10.1007/978-3-031-80122-8</a>},
    publisher={Springer Nature Switzerland}, year={2025} }'
  chicago: 'Beverungen, Daniel, Christiane Lehrer, and Matthias Trier, eds. <i>Solutions
    and Technologies for Responsible Digitalization</i>. Cham: Springer Nature Switzerland,
    2025. <a href="https://doi.org/10.1007/978-3-031-80122-8">https://doi.org/10.1007/978-3-031-80122-8</a>.'
  ieee: 'D. Beverungen, C. Lehrer, and M. Trier, Eds., <i>Solutions and Technologies
    for Responsible Digitalization</i>. Cham: Springer Nature Switzerland, 2025.'
  mla: Beverungen, Daniel, et al., editors. <i>Solutions and Technologies for Responsible
    Digitalization</i>. Springer Nature Switzerland, 2025, doi:<a href="https://doi.org/10.1007/978-3-031-80122-8">10.1007/978-3-031-80122-8</a>.
  short: D. Beverungen, C. Lehrer, M. Trier, eds., Solutions and Technologies for
    Responsible Digitalization, Springer Nature Switzerland, Cham, 2025.
date_created: 2025-04-03T08:16:56Z
date_updated: 2025-04-03T08:17:32Z
department:
- _id: '526'
doi: 10.1007/978-3-031-80122-8
editor:
- first_name: Daniel
  full_name: Beverungen, Daniel
  id: '59677'
  last_name: Beverungen
- first_name: Christiane
  full_name: Lehrer, Christiane
  last_name: Lehrer
- first_name: Matthias
  full_name: Trier, Matthias
  id: '72744'
  last_name: Trier
language:
- iso: eng
place: Cham
publication_identifier:
  isbn:
  - '9783031801211'
  - '9783031801228'
  issn:
  - 2195-4968
  - 2195-4976
publication_status: published
publisher: Springer Nature Switzerland
status: public
title: Solutions and Technologies for Responsible Digitalization
type: book_editor
user_id: '21671'
year: '2025'
...
---
_id: '60186'
author:
- first_name: A
  full_name: Lang, A
  last_name: Lang
- first_name: E
  full_name: Schaefer, E
  last_name: Schaefer
- first_name: Y
  full_name: Kupriyanova, Y
  last_name: Kupriyanova
- first_name: J
  full_name: Goletzke, J
  last_name: Goletzke
- first_name: KS
  full_name: Weber, KS
  last_name: Weber
- first_name: Anette
  full_name: Buyken, Anette
  id: '65985'
  last_name: Buyken
- first_name: S
  full_name: Kahl, S
  last_name: Kahl
- first_name: OP
  full_name: Zaharia, OP
  last_name: Zaharia
- first_name: C
  full_name: Herder, C
  last_name: Herder
- first_name: VB
  full_name: Schrauwen-Hinderling, VB
  last_name: Schrauwen-Hinderling
- first_name: O
  full_name: Kuss, O
  last_name: Kuss
- first_name: R
  full_name: Wagner, R
  last_name: Wagner
- first_name: M
  full_name: Roden, M
  last_name: Roden
- first_name: S
  full_name: Schlesinger, S
  last_name: Schlesinger
- first_name: German
  full_name: Diabetes Study Group, German
  last_name: Diabetes Study Group
citation:
  ama: Lang A, Schaefer E, Kupriyanova Y, et al. Cross-sectional association between
    the isocaloric replacement of carbohydrates with protein and fat in relation to
    fat compartments distribution and hepatic lipid content in recent-onset type 1
    and type 2 diabetes. <i>Nutr J</i>. 2025;24(1):74.
  apa: Lang, A., Schaefer, E., Kupriyanova, Y., Goletzke, J., Weber, K., Buyken, A.,
    Kahl, S., Zaharia, O., Herder, C., Schrauwen-Hinderling, V., Kuss, O., Wagner,
    R., Roden, M., Schlesinger, S., &#38; Diabetes Study Group, G. (2025). Cross-sectional
    association between the isocaloric replacement of carbohydrates with protein and
    fat in relation to fat compartments distribution and hepatic lipid content in
    recent-onset type 1 and type 2 diabetes. <i>Nutr J</i>, <i>24</i>(1), 74.
  bibtex: '@article{Lang_Schaefer_Kupriyanova_Goletzke_Weber_Buyken_Kahl_Zaharia_Herder_Schrauwen-Hinderling_et
    al._2025, title={Cross-sectional association between the isocaloric replacement
    of carbohydrates with protein and fat in relation to fat compartments distribution
    and hepatic lipid content in recent-onset type 1 and type 2 diabetes.}, volume={24},
    number={1}, journal={Nutr J}, author={Lang, A and Schaefer, E and Kupriyanova,
    Y and Goletzke, J and Weber, KS and Buyken, Anette and Kahl, S and Zaharia, OP
    and Herder, C and Schrauwen-Hinderling, VB and et al.}, year={2025}, pages={74}
    }'
  chicago: 'Lang, A, E Schaefer, Y Kupriyanova, J Goletzke, KS Weber, Anette Buyken,
    S Kahl, et al. “Cross-Sectional Association between the Isocaloric Replacement
    of Carbohydrates with Protein and Fat in Relation to Fat Compartments Distribution
    and Hepatic Lipid Content in Recent-Onset Type 1 and Type 2 Diabetes.” <i>Nutr
    J</i> 24, no. 1 (2025): 74.'
  ieee: A. Lang <i>et al.</i>, “Cross-sectional association between the isocaloric
    replacement of carbohydrates with protein and fat in relation to fat compartments
    distribution and hepatic lipid content in recent-onset type 1 and type 2 diabetes.,”
    <i>Nutr J</i>, vol. 24, no. 1, p. 74, 2025.
  mla: Lang, A., et al. “Cross-Sectional Association between the Isocaloric Replacement
    of Carbohydrates with Protein and Fat in Relation to Fat Compartments Distribution
    and Hepatic Lipid Content in Recent-Onset Type 1 and Type 2 Diabetes.” <i>Nutr
    J</i>, vol. 24, no. 1, 2025, p. 74.
  short: A. Lang, E. Schaefer, Y. Kupriyanova, J. Goletzke, K. Weber, A. Buyken, S.
    Kahl, O. Zaharia, C. Herder, V. Schrauwen-Hinderling, O. Kuss, R. Wagner, M. Roden,
    S. Schlesinger, G. Diabetes Study Group, Nutr J 24 (2025) 74.
date_created: 2025-06-11T08:54:08Z
date_updated: 2025-06-11T08:55:22Z
department:
- _id: '22'
external_id:
  pmid:
  - '40349038'
intvolume: '        24'
issue: '1'
language:
- iso: eng
page: '74'
pmid: '1'
publication: Nutr J
publication_identifier:
  issn:
  - 1475-2891
status: public
title: Cross-sectional association between the isocaloric replacement of carbohydrates
  with protein and fat in relation to fat compartments distribution and hepatic lipid
  content in recent-onset type 1 and type 2 diabetes.
type: journal_article
user_id: '92491'
volume: 24
year: '2025'
...
---
_id: '60184'
author:
- first_name: KA
  full_name: Della Corte, KA
  last_name: Della Corte
- first_name: T
  full_name: Bosler, T
  last_name: Bosler
- first_name: C
  full_name: McClure, C
  last_name: McClure
- first_name: Anette
  full_name: Buyken, Anette
  id: '65985'
  last_name: Buyken
- first_name: JD
  full_name: LeCheminant, JD
  last_name: LeCheminant
- first_name: L
  full_name: Schwingshackl, L
  last_name: Schwingshackl
- first_name: D
  full_name: Della Corte, D
  last_name: Della Corte
citation:
  ama: 'Della Corte K, Bosler T, McClure C, et al. Dietary Sugar Intake and Incident
    Type 2 Diabetes Risk: A Systematic Review and Dose-Response Meta-Analysis of Prospective
    Cohort Studies. <i>Adv Nutr</i>. 2025;16(5):100413.'
  apa: 'Della Corte, K., Bosler, T., McClure, C., Buyken, A., LeCheminant, J., Schwingshackl,
    L., &#38; Della Corte, D. (2025). Dietary Sugar Intake and Incident Type 2 Diabetes
    Risk: A Systematic Review and Dose-Response Meta-Analysis of Prospective Cohort
    Studies. <i>Adv Nutr</i>, <i>16</i>(5), 100413.'
  bibtex: '@article{Della Corte_Bosler_McClure_Buyken_LeCheminant_Schwingshackl_Della
    Corte_2025, title={Dietary Sugar Intake and Incident Type 2 Diabetes Risk: A Systematic
    Review and Dose-Response Meta-Analysis of Prospective Cohort Studies.}, volume={16},
    number={5}, journal={Adv Nutr}, author={Della Corte, KA and Bosler, T and McClure,
    C and Buyken, Anette and LeCheminant, JD and Schwingshackl, L and Della Corte,
    D}, year={2025}, pages={100413} }'
  chicago: 'Della Corte, KA, T Bosler, C McClure, Anette Buyken, JD LeCheminant, L
    Schwingshackl, and D Della Corte. “Dietary Sugar Intake and Incident Type 2 Diabetes
    Risk: A Systematic Review and Dose-Response Meta-Analysis of Prospective Cohort
    Studies.” <i>Adv Nutr</i> 16, no. 5 (2025): 100413.'
  ieee: 'K. Della Corte <i>et al.</i>, “Dietary Sugar Intake and Incident Type 2 Diabetes
    Risk: A Systematic Review and Dose-Response Meta-Analysis of Prospective Cohort
    Studies.,” <i>Adv Nutr</i>, vol. 16, no. 5, p. 100413, 2025.'
  mla: 'Della Corte, KA, et al. “Dietary Sugar Intake and Incident Type 2 Diabetes
    Risk: A Systematic Review and Dose-Response Meta-Analysis of Prospective Cohort
    Studies.” <i>Adv Nutr</i>, vol. 16, no. 5, 2025, p. 100413.'
  short: K. Della Corte, T. Bosler, C. McClure, A. Buyken, J. LeCheminant, L. Schwingshackl,
    D. Della Corte, Adv Nutr 16 (2025) 100413.
date_created: 2025-06-11T08:51:45Z
date_updated: 2025-06-11T08:52:32Z
department:
- _id: '22'
external_id:
  pmid:
  - '40122386'
intvolume: '        16'
issue: '5'
language:
- iso: eng
page: '100413'
pmid: '1'
publication: Adv Nutr
publication_identifier:
  issn:
  - 2161-8313
  - 2156-5376
status: public
title: 'Dietary Sugar Intake and Incident Type 2 Diabetes Risk: A Systematic Review
  and Dose-Response Meta-Analysis of Prospective Cohort Studies.'
type: journal_article
user_id: '92491'
volume: 16
year: '2025'
...
---
_id: '60419'
author:
- first_name: David
  full_name: Bartlitz, David
  id: '104560'
  last_name: Bartlitz
  orcid: '0000-0003-2967-8299 '
citation:
  ama: Bartlitz D. Weigerung der Gewährleistung der Interoperabilität einer Plattform
    mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025 - C-233/23.
    <i>Europäische Zeitschrift für Wirtschaftsrecht (EuZW)</i>. 2025;(10):483-484.
  apa: Bartlitz, D. (2025). Weigerung der Gewährleistung der Interoperabilität einer
    Plattform mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025
    - C-233/23. <i>Europäische Zeitschrift für Wirtschaftsrecht (EuZW)</i>, <i>10</i>,
    483–484.
  bibtex: '@article{Bartlitz_2025, title={Weigerung der Gewährleistung der Interoperabilität
    einer Plattform mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25.
    2. 2025 - C-233/23}, number={10}, journal={Europäische Zeitschrift für Wirtschaftsrecht
    (EuZW)}, author={Bartlitz, David}, year={2025}, pages={483–484} }'
  chicago: 'Bartlitz, David. “Weigerung der Gewährleistung der Interoperabilität einer
    Plattform mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025
    - C-233/23.” <i>Europäische Zeitschrift für Wirtschaftsrecht (EuZW)</i>, no. 10
    (2025): 483–84.'
  ieee: D. Bartlitz, “Weigerung der Gewährleistung der Interoperabilität einer Plattform
    mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025 - C-233/23,”
    <i>Europäische Zeitschrift für Wirtschaftsrecht (EuZW)</i>, no. 10, pp. 483–484,
    2025.
  mla: Bartlitz, David. “Weigerung der Gewährleistung der Interoperabilität einer
    Plattform mit App eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025
    - C-233/23.” <i>Europäische Zeitschrift für Wirtschaftsrecht (EuZW)</i>, no. 10,
    2025, pp. 483–84.
  short: D. Bartlitz, Europäische Zeitschrift für Wirtschaftsrecht (EuZW) (2025) 483–484.
date_created: 2025-06-26T12:32:28Z
date_updated: 2025-06-26T12:43:10Z
department:
- _id: '845'
issue: '10'
language:
- iso: ger
main_file_link:
- url: https://beck-online.beck.de/Bcid/Y-300-Z-EUZW-B-2025-H-10-Gl-5
page: 483-484
publication: Europäische Zeitschrift für Wirtschaftsrecht (EuZW)
publication_status: published
status: public
title: Weigerung der Gewährleistung der Interoperabilität einer Plattform mit App
  eines Drittunternehmens. Anmerkung zu EuGH, Urt. v. 25. 2. 2025 - C-233/23
type: journal_article
user_id: '95606'
year: '2025'
...
---
_id: '60507'
abstract:
- lang: eng
  text: <jats:p>DNA origami nanostructures are powerful molecular tools for the controlled
    arrangement of functional molecules and thus have important applications in biomedicine,
    sensing, and materials science. The fabrication of DNA origami...</jats:p>
author:
- first_name: Emilia
  full_name: Tomm, Emilia
  id: '68157'
  last_name: Tomm
- first_name: Guido
  full_name: Grundmeier, Guido
  id: '194'
  last_name: Grundmeier
- first_name: Adrian
  full_name: Keller, Adrian
  id: '48864'
  last_name: Keller
  orcid: 0000-0001-7139-3110
citation:
  ama: Tomm E, Grundmeier G, Keller A. Cost-efficient folding of functionalized DNA
    origami nanostructures via staple recycling. <i>Nanoscale</i>. Published online
    2025. doi:<a href="https://doi.org/10.1039/d5nr01435b">10.1039/d5nr01435b</a>
  apa: Tomm, E., Grundmeier, G., &#38; Keller, A. (2025). Cost-efficient folding of
    functionalized DNA origami nanostructures via staple recycling. <i>Nanoscale</i>.
    <a href="https://doi.org/10.1039/d5nr01435b">https://doi.org/10.1039/d5nr01435b</a>
  bibtex: '@article{Tomm_Grundmeier_Keller_2025, title={Cost-efficient folding of
    functionalized DNA origami nanostructures via staple recycling}, DOI={<a href="https://doi.org/10.1039/d5nr01435b">10.1039/d5nr01435b</a>},
    journal={Nanoscale}, publisher={Royal Society of Chemistry (RSC)}, author={Tomm,
    Emilia and Grundmeier, Guido and Keller, Adrian}, year={2025} }'
  chicago: Tomm, Emilia, Guido Grundmeier, and Adrian Keller. “Cost-Efficient Folding
    of Functionalized DNA Origami Nanostructures via Staple Recycling.” <i>Nanoscale</i>,
    2025. <a href="https://doi.org/10.1039/d5nr01435b">https://doi.org/10.1039/d5nr01435b</a>.
  ieee: 'E. Tomm, G. Grundmeier, and A. Keller, “Cost-efficient folding of functionalized
    DNA origami nanostructures via staple recycling,” <i>Nanoscale</i>, 2025, doi:
    <a href="https://doi.org/10.1039/d5nr01435b">10.1039/d5nr01435b</a>.'
  mla: Tomm, Emilia, et al. “Cost-Efficient Folding of Functionalized DNA Origami
    Nanostructures via Staple Recycling.” <i>Nanoscale</i>, Royal Society of Chemistry
    (RSC), 2025, doi:<a href="https://doi.org/10.1039/d5nr01435b">10.1039/d5nr01435b</a>.
  short: E. Tomm, G. Grundmeier, A. Keller, Nanoscale (2025).
date_created: 2025-07-03T11:26:30Z
date_updated: 2025-07-03T11:27:19Z
department:
- _id: '302'
doi: 10.1039/d5nr01435b
language:
- iso: eng
publication: Nanoscale
publication_identifier:
  issn:
  - 2040-3364
  - 2040-3372
publication_status: published
publisher: Royal Society of Chemistry (RSC)
status: public
title: Cost-efficient folding of functionalized DNA origami nanostructures via staple
  recycling
type: journal_article
user_id: '48864'
year: '2025'
...
---
_id: '60530'
article_type: original
author:
- first_name: Elke
  full_name: Grimminger-Seidensticker, Elke
  id: '85816'
  last_name: Grimminger-Seidensticker
- first_name: 'Autorengruppe '
  full_name: 'ComeNet 5, Autorengruppe '
  last_name: ComeNet 5
citation:
  ama: Grimminger-Seidensticker E, ComeNet 5 A. Körperbilder und Social Media im Sportunterricht.
    Herausforderungen und Chancen für Lehrkräfte. <i>sportunterricht</i>. 2025;74(6):250-253.
    doi:<a href="https://doi.org/10.30426/SU-2025-06-2">10.30426/SU-2025-06-2</a>
  apa: Grimminger-Seidensticker, E., &#38; ComeNet 5, A. (2025). Körperbilder und
    Social Media im Sportunterricht. Herausforderungen und Chancen für Lehrkräfte.
    <i>sportunterricht</i>, <i>74</i>(6), 250–253. <a href="https://doi.org/10.30426/SU-2025-06-2">https://doi.org/10.30426/SU-2025-06-2</a>
  bibtex: '@article{Grimminger-Seidensticker_ComeNet 5_2025, title={Körperbilder und
    Social Media im Sportunterricht. Herausforderungen und Chancen für Lehrkräfte},
    volume={74}, DOI={<a href="https://doi.org/10.30426/SU-2025-06-2">10.30426/SU-2025-06-2</a>},
    number={6}, journal={sportunterricht}, author={Grimminger-Seidensticker, Elke
    and ComeNet 5, Autorengruppe }, year={2025}, pages={250–253} }'
  chicago: 'Grimminger-Seidensticker, Elke, and Autorengruppe  ComeNet 5. “Körperbilder
    und Social Media im Sportunterricht. Herausforderungen und Chancen für Lehrkräfte.”
    <i>sportunterricht</i> 74, no. 6 (2025): 250–53. <a href="https://doi.org/10.30426/SU-2025-06-2">https://doi.org/10.30426/SU-2025-06-2</a>.'
  ieee: 'E. Grimminger-Seidensticker and A. ComeNet 5, “Körperbilder und Social Media
    im Sportunterricht. Herausforderungen und Chancen für Lehrkräfte,” <i>sportunterricht</i>,
    vol. 74, no. 6, pp. 250–253, 2025, doi: <a href="https://doi.org/10.30426/SU-2025-06-2">10.30426/SU-2025-06-2</a>.'
  mla: Grimminger-Seidensticker, Elke, and Autorengruppe ComeNet 5. “Körperbilder
    und Social Media im Sportunterricht. Herausforderungen und Chancen für Lehrkräfte.”
    <i>sportunterricht</i>, vol. 74, no. 6, 2025, pp. 250–53, doi:<a href="https://doi.org/10.30426/SU-2025-06-2">10.30426/SU-2025-06-2</a>.
  short: E. Grimminger-Seidensticker, A. ComeNet 5, sportunterricht 74 (2025) 250–253.
date_created: 2025-07-07T06:51:33Z
date_updated: 2025-07-07T06:54:22Z
department:
- _id: '17'
- _id: '174'
- _id: '320'
doi: 10.30426/SU-2025-06-2
intvolume: '        74'
issue: '6'
language:
- iso: ger
page: 250 - 253
publication: sportunterricht
status: public
title: Körperbilder und Social Media im Sportunterricht. Herausforderungen und Chancen
  für Lehrkräfte
type: journal_article
user_id: '85816'
volume: 74
year: '2025'
...
---
_id: '60602'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n          <jats:p>It has been established
    that, in Bayesian tasks, performance and typical errors in <jats:italic>reading</jats:italic>
    information from filled visualizations depend both on the type of the provided
    visualization and information format. However, apart from reading visualizations,
    students should also be able to create visualizations on their own and successfully
    use them as heuristic tools in modeling tasks. In this paper, we first want to
    broaden the view on Bayesian reasoning to probabilistic tasks with two binary
    events in general and embed the whole process of solving these tasks using probabilistic
    visualizations in a modified modeling framework. Thereby, it becomes apparent
    that most of the steps remained untouched by existing research. Second, in the
    present empirical study, we focused on one part of the largely unexplored creation
    process and examined <jats:italic>entering</jats:italic> statistical information
    into empty visualizations as heuristic tools. <jats:italic>N</jats:italic> = 172
    participants had to enter conditional and joint probabilities or the corresponding
    frequencies into empty visualizations in a paper-and-pencil test. We analyze (a)
    students’ performance when entering information in visualizations and (b) typical
    errors, both dependent on the <jats:italic>information format</jats:italic> (probabilities
    vs. natural frequencies), which <jats:italic>empty visualization structure</jats:italic>
    (2⨯2 table, double tree, net diagram) was provided, and <jats:italic>type of information</jats:italic>
    (conditional vs. joint information). The well-known positive effect of natural
    frequencies on participants’ performance was evident when entering conditional
    information into 2⨯2 tables and net diagrams. However, with respect to joint information,
    no superior effect of frequencies was observed. Furthermore, the theoretical implementation
    of our research in a modeling cycle allows us to identify desiderata for future
    research.</jats:p>"
author:
- first_name: Michael
  full_name: Rößner, Michael
  last_name: Rößner
- first_name: Karin
  full_name: Binder, Karin
  last_name: Binder
- first_name: Corbinian
  full_name: Geier, Corbinian
  last_name: Geier
- first_name: Stefan
  full_name: Krauss, Stefan
  last_name: Krauss
citation:
  ama: Rößner M, Binder K, Geier C, Krauss S. Students’ performance and typical errors
    in filling empty probabilistic visualizations with probabilities or frequencies.
    <i>Educational Studies in Mathematics</i>. Published online 2025. doi:<a href="https://doi.org/10.1007/s10649-024-10372-y">10.1007/s10649-024-10372-y</a>
  apa: Rößner, M., Binder, K., Geier, C., &#38; Krauss, S. (2025). Students’ performance
    and typical errors in filling empty probabilistic visualizations with probabilities
    or frequencies. <i>Educational Studies in Mathematics</i>. <a href="https://doi.org/10.1007/s10649-024-10372-y">https://doi.org/10.1007/s10649-024-10372-y</a>
  bibtex: '@article{Rößner_Binder_Geier_Krauss_2025, title={Students’ performance
    and typical errors in filling empty probabilistic visualizations with probabilities
    or frequencies}, DOI={<a href="https://doi.org/10.1007/s10649-024-10372-y">10.1007/s10649-024-10372-y</a>},
    journal={Educational Studies in Mathematics}, publisher={Springer Science and
    Business Media LLC}, author={Rößner, Michael and Binder, Karin and Geier, Corbinian
    and Krauss, Stefan}, year={2025} }'
  chicago: Rößner, Michael, Karin Binder, Corbinian Geier, and Stefan Krauss. “Students’
    Performance and Typical Errors in Filling Empty Probabilistic Visualizations with
    Probabilities or Frequencies.” <i>Educational Studies in Mathematics</i>, 2025.
    <a href="https://doi.org/10.1007/s10649-024-10372-y">https://doi.org/10.1007/s10649-024-10372-y</a>.
  ieee: 'M. Rößner, K. Binder, C. Geier, and S. Krauss, “Students’ performance and
    typical errors in filling empty probabilistic visualizations with probabilities
    or frequencies,” <i>Educational Studies in Mathematics</i>, 2025, doi: <a href="https://doi.org/10.1007/s10649-024-10372-y">10.1007/s10649-024-10372-y</a>.'
  mla: Rößner, Michael, et al. “Students’ Performance and Typical Errors in Filling
    Empty Probabilistic Visualizations with Probabilities or Frequencies.” <i>Educational
    Studies in Mathematics</i>, Springer Science and Business Media LLC, 2025, doi:<a
    href="https://doi.org/10.1007/s10649-024-10372-y">10.1007/s10649-024-10372-y</a>.
  short: M. Rößner, K. Binder, C. Geier, S. Krauss, Educational Studies in Mathematics
    (2025).
date_created: 2025-07-14T12:26:14Z
date_updated: 2025-07-14T12:30:58Z
doi: 10.1007/s10649-024-10372-y
language:
- iso: eng
publication: Educational Studies in Mathematics
publication_identifier:
  issn:
  - 0013-1954
  - 1573-0816
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Students’ performance and typical errors in filling empty probabilistic visualizations
  with probabilities or frequencies
type: journal_article
user_id: '87801'
year: '2025'
...
---
_id: '60606'
abstract:
- lang: eng
  text: <jats:p>Streptavidin binding to DNA origami-supported high-density biotin
    arrays is investigated for selected experimental parameters. While bidentate binding
    and steric hindrance can be minimized, molecular crowding limits the binding yields
    in 2D arrays.</jats:p>
author:
- first_name: Lukas
  full_name: Rabbe, Lukas
  last_name: Rabbe
- first_name: Emilia
  full_name: Tomm, Emilia
  id: '68157'
  last_name: Tomm
- first_name: Guido
  full_name: Grundmeier, Guido
  id: '194'
  last_name: Grundmeier
- first_name: Adrian
  full_name: Keller, Adrian
  id: '48864'
  last_name: Keller
  orcid: 0000-0001-7139-3110
citation:
  ama: Rabbe L, Tomm E, Grundmeier G, Keller A. Toward high-density streptavidin arrays
    on DNA origami nanostructures. <i>RSC Advances</i>. 2025;15(30):24536-24543. doi:<a
    href="https://doi.org/10.1039/d5ra03393d">10.1039/d5ra03393d</a>
  apa: Rabbe, L., Tomm, E., Grundmeier, G., &#38; Keller, A. (2025). Toward high-density
    streptavidin arrays on DNA origami nanostructures. <i>RSC Advances</i>, <i>15</i>(30),
    24536–24543. <a href="https://doi.org/10.1039/d5ra03393d">https://doi.org/10.1039/d5ra03393d</a>
  bibtex: '@article{Rabbe_Tomm_Grundmeier_Keller_2025, title={Toward high-density
    streptavidin arrays on DNA origami nanostructures}, volume={15}, DOI={<a href="https://doi.org/10.1039/d5ra03393d">10.1039/d5ra03393d</a>},
    number={30}, journal={RSC Advances}, publisher={Royal Society of Chemistry (RSC)},
    author={Rabbe, Lukas and Tomm, Emilia and Grundmeier, Guido and Keller, Adrian},
    year={2025}, pages={24536–24543} }'
  chicago: 'Rabbe, Lukas, Emilia Tomm, Guido Grundmeier, and Adrian Keller. “Toward
    High-Density Streptavidin Arrays on DNA Origami Nanostructures.” <i>RSC Advances</i>
    15, no. 30 (2025): 24536–43. <a href="https://doi.org/10.1039/d5ra03393d">https://doi.org/10.1039/d5ra03393d</a>.'
  ieee: 'L. Rabbe, E. Tomm, G. Grundmeier, and A. Keller, “Toward high-density streptavidin
    arrays on DNA origami nanostructures,” <i>RSC Advances</i>, vol. 15, no. 30, pp.
    24536–24543, 2025, doi: <a href="https://doi.org/10.1039/d5ra03393d">10.1039/d5ra03393d</a>.'
  mla: Rabbe, Lukas, et al. “Toward High-Density Streptavidin Arrays on DNA Origami
    Nanostructures.” <i>RSC Advances</i>, vol. 15, no. 30, Royal Society of Chemistry
    (RSC), 2025, pp. 24536–43, doi:<a href="https://doi.org/10.1039/d5ra03393d">10.1039/d5ra03393d</a>.
  short: L. Rabbe, E. Tomm, G. Grundmeier, A. Keller, RSC Advances 15 (2025) 24536–24543.
date_created: 2025-07-15T06:06:48Z
date_updated: 2025-07-15T06:07:16Z
department:
- _id: '302'
doi: 10.1039/d5ra03393d
intvolume: '        15'
issue: '30'
language:
- iso: eng
page: 24536-24543
publication: RSC Advances
publication_identifier:
  issn:
  - 2046-2069
publication_status: published
publisher: Royal Society of Chemistry (RSC)
status: public
title: Toward high-density streptavidin arrays on DNA origami nanostructures
type: journal_article
user_id: '48864'
volume: 15
year: '2025'
...
---
_id: '55037'
abstract:
- lang: eng
  text: "Estimating ground state energies of many-body Hamiltonians is a central task\r\nin
    many areas of quantum physics. In this work, we give quantum algorithms\r\nwhich,
    given any $k$-body Hamiltonian $H$, compute an estimate for the ground\r\nstate
    energy and prepare a quantum state achieving said energy, respectively.\r\nSpecifically,
    for any $\\varepsilon>0$, our algorithms return, with high\r\nprobability, an
    estimate of the ground state energy of $H$ within additive\r\nerror $\\varepsilon
    M$, or a quantum state with the corresponding energy. Here,\r\n$M$ is the total
    strength of all interaction terms, which in general is\r\nextensive in the system
    size. Our approach makes no assumptions about the\r\ngeometry or spatial locality
    of interaction terms of the input Hamiltonian and\r\nthus handles even long-range
    or all-to-all interactions, such as in quantum\r\nchemistry, where lattice-based
    techniques break down. In this fully general\r\nsetting, the runtime of our algorithms
    scales as $2^{cn/2}$ for $c<1$, yielding\r\nthe first quantum algorithms for low-energy
    estimation breaking the natural\r\nbound based on Grover search. The core of our
    approach is remarkably simple,\r\nand relies on showing that any $k$-body Hamiltonian
    has a low-energy subspace\r\nof exponential dimension."
author:
- first_name: Harry
  full_name: Buhrman, Harry
  last_name: Buhrman
- first_name: Sevag
  full_name: Gharibian, Sevag
  id: '71541'
  last_name: Gharibian
  orcid: 0000-0002-9992-3379
- first_name: Zeph
  full_name: Landau, Zeph
  last_name: Landau
- first_name: François Le
  full_name: Gall, François Le
  last_name: Gall
- first_name: Norbert
  full_name: Schuch, Norbert
  last_name: Schuch
- first_name: Suguru
  full_name: Tamaki, Suguru
  last_name: Tamaki
citation:
  ama: Buhrman H, Gharibian S, Landau Z, Gall FL, Schuch N, Tamaki S. Beating Grover
    search for low-energy estimation and state preparation. <i>Physical Review Letters</i>.
    2025;135:030601. doi:<a href="https://doi.org/10.1103/29qw-bssx">10.1103/29qw-bssx</a>
  apa: Buhrman, H., Gharibian, S., Landau, Z., Gall, F. L., Schuch, N., &#38; Tamaki,
    S. (2025). Beating Grover search for low-energy estimation and state preparation.
    <i>Physical Review Letters</i>, <i>135</i>, 030601. <a href="https://doi.org/10.1103/29qw-bssx">https://doi.org/10.1103/29qw-bssx</a>
  bibtex: '@article{Buhrman_Gharibian_Landau_Gall_Schuch_Tamaki_2025, title={Beating
    Grover search for low-energy estimation and state preparation}, volume={135},
    DOI={<a href="https://doi.org/10.1103/29qw-bssx">10.1103/29qw-bssx</a>}, journal={Physical
    Review Letters}, author={Buhrman, Harry and Gharibian, Sevag and Landau, Zeph
    and Gall, François Le and Schuch, Norbert and Tamaki, Suguru}, year={2025}, pages={030601}
    }'
  chicago: 'Buhrman, Harry, Sevag Gharibian, Zeph Landau, François Le Gall, Norbert
    Schuch, and Suguru Tamaki. “Beating Grover Search for Low-Energy Estimation and
    State Preparation.” <i>Physical Review Letters</i> 135 (2025): 030601. <a href="https://doi.org/10.1103/29qw-bssx">https://doi.org/10.1103/29qw-bssx</a>.'
  ieee: 'H. Buhrman, S. Gharibian, Z. Landau, F. L. Gall, N. Schuch, and S. Tamaki,
    “Beating Grover search for low-energy estimation and state preparation,” <i>Physical
    Review Letters</i>, vol. 135, p. 030601, 2025, doi: <a href="https://doi.org/10.1103/29qw-bssx">10.1103/29qw-bssx</a>.'
  mla: Buhrman, Harry, et al. “Beating Grover Search for Low-Energy Estimation and
    State Preparation.” <i>Physical Review Letters</i>, vol. 135, 2025, p. 030601,
    doi:<a href="https://doi.org/10.1103/29qw-bssx">10.1103/29qw-bssx</a>.
  short: H. Buhrman, S. Gharibian, Z. Landau, F.L. Gall, N. Schuch, S. Tamaki, Physical
    Review Letters 135 (2025) 030601.
date_created: 2024-07-04T09:02:42Z
date_updated: 2025-07-16T10:25:43Z
doi: 10.1103/29qw-bssx
external_id:
  arxiv:
  - '2407.03073'
intvolume: '       135'
language:
- iso: eng
page: '030601'
publication: Physical Review Letters
publication_status: published
status: public
title: Beating Grover search for low-energy estimation and state preparation
type: journal_article
user_id: '71541'
volume: 135
year: '2025'
...
