---
_id: '34677'
article_number: '96'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Chunyan
  full_name: Wu, Chunyan
  last_name: Wu
citation:
  ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness
    in a chemotaxis-Navier–Stokes system with logistic proliferation. <i>Calculus
    of Variations and Partial Differential Equations</i>. 2022;61(3). doi:<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>'
  apa: 'Black, T., &#38; Wu, C. (2022). Prescribed signal concentration on the boundary:
    eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation.
    <i>Calculus of Variations and Partial Differential Equations</i>, <i>61</i>(3),
    Article 96. <a href="https://doi.org/10.1007/s00526-022-02201-y">https://doi.org/10.1007/s00526-022-02201-y</a>'
  bibtex: '@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary:
    eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation},
    volume={61}, DOI={<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>},
    number={396}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Black, Tobias and
    Wu, Chunyan}, year={2022} }'
  chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the
    Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic
    Proliferation.” <i>Calculus of Variations and Partial Differential Equations</i>
    61, no. 3 (2022). <a href="https://doi.org/10.1007/s00526-022-02201-y">https://doi.org/10.1007/s00526-022-02201-y</a>.'
  ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual
    smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no.
    3, Art. no. 96, 2022, doi: <a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>.'
  mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary:
    Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no.
    3, 96, Springer Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>.'
  short: T. Black, C. Wu, Calculus of Variations and Partial Differential Equations
    61 (2022).
date_created: 2022-12-21T09:50:59Z
date_updated: 2023-07-10T11:37:27Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00526-022-02201-y
intvolume: '        61'
issue: '3'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Prescribed signal concentration on the boundary: eventual smoothness in a
  chemotaxis-Navier–Stokes system with logistic proliferation'
type: journal_article
user_id: '23686'
volume: 61
year: '2022'
...
---
_id: '19941'
abstract:
- lang: eng
  text: "In backward error analysis, an approximate solution to an equation is compared
    to the exact solution to a nearby ‘modified’ equation. In numerical ordinary differential
    equations, the two agree up to any power of the step size. If the differential
    equation has a geometric property then the modified equation may share it. In
    this way, known properties of differential equations can be applied to the approximation.
    But for partial differential equations, the known modified equations are of higher
    order, limiting applicability of the theory. Therefore, we study symmetric solutions
    of discretized\r\npartial differential equations that arise from a discrete variational
    principle. These symmetric solutions obey infinite-dimensional functional equations.
    We show that these equations admit second-order modified equations which are Hamiltonian
    and also possess first-order Lagrangians in modified coordinates. The modified
    equation and its associated structures are computed explicitly for the case of
    rotating travelling waves in the nonlinear wave equation."
article_type: original
author:
- first_name: Robert I
  full_name: McLachlan, Robert I
  last_name: McLachlan
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: https://orcid.org/0000-0002-5940-8057
citation:
  ama: McLachlan RI, Offen C. Backward error analysis for variational discretisations
    of partial  differential equations. <i>Journal of Geometric Mechanics</i>. 2022;14(3):447-471.
    doi:<a href="https://doi.org/10.3934/jgm.2022014">10.3934/jgm.2022014</a>
  apa: McLachlan, R. I., &#38; Offen, C. (2022). Backward error analysis for variational
    discretisations of partial  differential equations. <i>Journal of Geometric Mechanics</i>,
    <i>14</i>(3), 447–471. <a href="https://doi.org/10.3934/jgm.2022014">https://doi.org/10.3934/jgm.2022014</a>
  bibtex: '@article{McLachlan_Offen_2022, title={Backward error analysis for variational
    discretisations of partial  differential equations}, volume={14}, DOI={<a href="https://doi.org/10.3934/jgm.2022014">10.3934/jgm.2022014</a>},
    number={3}, journal={Journal of Geometric Mechanics}, publisher={AIMS}, author={McLachlan,
    Robert I and Offen, Christian}, year={2022}, pages={447–471} }'
  chicago: 'McLachlan, Robert I, and Christian Offen. “Backward Error Analysis for
    Variational Discretisations of Partial  Differential Equations.” <i>Journal of
    Geometric Mechanics</i> 14, no. 3 (2022): 447–71. <a href="https://doi.org/10.3934/jgm.2022014">https://doi.org/10.3934/jgm.2022014</a>.'
  ieee: 'R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations
    of partial  differential equations,” <i>Journal of Geometric Mechanics</i>, vol.
    14, no. 3, pp. 447–471, 2022, doi: <a href="https://doi.org/10.3934/jgm.2022014">10.3934/jgm.2022014</a>.'
  mla: McLachlan, Robert I., and Christian Offen. “Backward Error Analysis for Variational
    Discretisations of Partial  Differential Equations.” <i>Journal of Geometric Mechanics</i>,
    vol. 14, no. 3, AIMS, 2022, pp. 447–71, doi:<a href="https://doi.org/10.3934/jgm.2022014">10.3934/jgm.2022014</a>.
  short: R.I. McLachlan, C. Offen, Journal of Geometric Mechanics 14 (2022) 447–471.
date_created: 2020-10-06T16:33:19Z
date_updated: 2023-08-10T08:44:55Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.3934/jgm.2022014
external_id:
  arxiv:
  - '2006.14172'
file:
- access_level: open_access
  content_type: application/pdf
  creator: coffen
  date_created: 2022-06-13T09:11:38Z
  date_updated: 2022-06-13T09:11:38Z
  description: |-
    In backward error analysis, an approximate solution to an equa-
    tion is compared to the exact solution to a nearby ‘modified’ equation. In
    numerical ordinary differential equations, the two agree up to any power of
    the step size. If the differential equation has a geometric property then the
    modified equation may share it. In this way, known properties of differential
    equations can be applied to the approximation. But for partial differential
    equations, the known modified equations are of higher order, limiting appli-
    cability of the theory. Therefore, we study symmetric solutions of discretized
    partial differential equations that arise from a discrete variational principle.
    These symmetric solutions obey infinite-dimensional functional equations. We
    show that these equations admit second-order modified equations which are
    Hamiltonian and also possess first-order Lagrangians in modified coordinates.
    The modified equation and its associated structures are computed explicitly
    for the case of rotating travelling waves in the nonlinear wave equation.
  file_id: '31859'
  file_name: 2_BlendedBEASymmPDE.pdf
  file_size: 1507248
  relation: main_file
  title: Backward error analysis for variational discretisations of PDEs
file_date_updated: 2022-06-13T09:11:38Z
has_accepted_license: '1'
intvolume: '        14'
issue: '3'
language:
- iso: eng
oa: '1'
page: 447 - 471
publication: Journal of Geometric Mechanics
publication_status: published
publisher: AIMS
related_material:
  link:
  - relation: software
    url: https://github.com/Christian-Offen/multisymplectic
status: public
title: Backward error analysis for variational discretisations of partial  differential
  equations
type: journal_article
user_id: '85279'
volume: 14
year: '2022'
...
---
_id: '23382'
abstract:
- lang: eng
  text: Hamiltonian systems are differential equations which describe systems in classical
    mechanics, plasma physics, and sampling problems. They exhibit many structural
    properties, such as a lack of attractors and the presence of conservation laws.
    To predict Hamiltonian dynamics based on discrete trajectory observations, incorporation
    of prior knowledge about Hamiltonian structure greatly improves predictions. This
    is typically done by learning the system's Hamiltonian and then integrating the
    Hamiltonian vector field with a symplectic integrator. For this, however, Hamiltonian
    data needs to be approximated based on the trajectory observations. Moreover,
    the numerical integrator introduces an additional discretisation error. In this
    paper, we show that an inverse modified Hamiltonian structure adapted to the geometric
    integrator can be learned directly from observations. A separate approximation
    step for the Hamiltonian data avoided. The inverse modified data compensates for
    the discretisation error such that the discretisation error is eliminated. The
    technique is developed for Gaussian Processes.
article_type: original
author:
- first_name: Christian
  full_name: Offen, Christian
  id: '85279'
  last_name: Offen
  orcid: 0000-0002-5940-8057
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems.
    <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>. 2022;32(1). doi:<a
    href="https://doi.org/10.1063/5.0065913">10.1063/5.0065913</a>'
  apa: 'Offen, C., &#38; Ober-Blöbaum, S. (2022). Symplectic integration of learned
    Hamiltonian systems. <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>,
    <i>32(1)</i>. <a href="https://doi.org/10.1063/5.0065913">https://doi.org/10.1063/5.0065913</a>'
  bibtex: '@article{Offen_Ober-Blöbaum_2022, title={Symplectic integration of learned
    Hamiltonian systems}, volume={32(1)}, DOI={<a href="https://doi.org/10.1063/5.0065913">10.1063/5.0065913</a>},
    journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP},
    author={Offen, Christian and Ober-Blöbaum, Sina}, year={2022} }'
  chicago: 'Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned
    Hamiltonian Systems.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>
    32(1) (2022). <a href="https://doi.org/10.1063/5.0065913">https://doi.org/10.1063/5.0065913</a>.'
  ieee: 'C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian
    systems,” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>, vol.
    32(1), 2022, doi: <a href="https://doi.org/10.1063/5.0065913">10.1063/5.0065913</a>.'
  mla: 'Offen, Christian, and Sina Ober-Blöbaum. “Symplectic Integration of Learned
    Hamiltonian Systems.” <i>Chaos: An Interdisciplinary Journal of Nonlinear Science</i>,
    vol. 32(1), AIP, 2022, doi:<a href="https://doi.org/10.1063/5.0065913">10.1063/5.0065913</a>.'
  short: 'C. Offen, S. Ober-Blöbaum, Chaos: An Interdisciplinary Journal of Nonlinear
    Science 32(1) (2022).'
date_created: 2021-08-11T08:24:02Z
date_updated: 2023-08-10T08:48:14Z
ddc:
- '510'
department:
- _id: '636'
doi: 10.1063/5.0065913
external_id:
  arxiv:
  - '2108.02492'
file:
- access_level: open_access
  content_type: application/pdf
  creator: coffen
  date_created: 2021-12-13T14:56:15Z
  date_updated: 2021-12-13T14:56:15Z
  file_id: '28734'
  file_name: SymplecticShadowIntegration_AIP.pdf
  file_size: 2285059
  relation: main_file
file_date_updated: 2021-12-13T14:56:15Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://aip.scitation.org/doi/abs/10.1063/5.0065913
oa: '1'
publication: 'Chaos: An Interdisciplinary Journal of Nonlinear Science'
publication_status: published
publisher: AIP
quality_controlled: '1'
related_material:
  link:
  - description: GitHub
    relation: software
    url: https://github.com/Christian-Offen/symplectic-shadow-integration
status: public
title: Symplectic integration of learned Hamiltonian systems
type: journal_article
user_id: '85279'
volume: 32(1)
year: '2022'
...
---
_id: '40613'
author:
- first_name: Jennifer
  full_name: Dröse, Jennifer
  id: '85820'
  last_name: Dröse
citation:
  ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von
    drei Professionalisierungsgruppen. In: <i>Beiträge Zum Mathematikunterricht</i>.
    ; 2022.'
  apa: Dröse, J. (2022). Verstehensgrundlagen diagnostizieren - Diagnostisches Denken
    von drei Professionalisierungsgruppen. <i>Beiträge Zum Mathematikunterricht</i>.
  bibtex: '@inproceedings{Dröse_2022, title={Verstehensgrundlagen diagnostizieren
    - Diagnostisches Denken von drei Professionalisierungsgruppen}, booktitle={Beiträge
    zum Mathematikunterricht}, author={Dröse, Jennifer}, year={2022} }'
  chicago: Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches
    Denken von Drei Professionalisierungsgruppen.” In <i>Beiträge Zum Mathematikunterricht</i>,
    2022.
  ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von
    drei Professionalisierungsgruppen,” 2022.
  mla: Dröse, Jennifer. “Verstehensgrundlagen Diagnostizieren - Diagnostisches Denken
    von Drei Professionalisierungsgruppen.” <i>Beiträge Zum Mathematikunterricht</i>,
    2022.
  short: 'J. Dröse, in: Beiträge Zum Mathematikunterricht, 2022.'
date_created: 2023-01-27T19:00:01Z
date_updated: 2023-08-15T06:04:03Z
department:
- _id: '98'
language:
- iso: eng
publication: Beiträge zum Mathematikunterricht
status: public
title: Verstehensgrundlagen diagnostizieren - Diagnostisches Denken von drei Professionalisierungsgruppen
type: conference
user_id: '85820'
year: '2022'
...
---
_id: '47520'
author:
- first_name: Lara Marie
  full_name: Graf, Lara Marie
  id: '89837'
  last_name: Graf
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: Marcus
  full_name: Nührenbörger, Marcus
  last_name: Nührenbörger
- first_name: Karina
  full_name: Höveler, Karina
  last_name: Höveler
citation:
  ama: 'Graf LM, Häsel-Weide U, Nührenbörger M, Höveler K. Lernwege von fachfremd
    unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen. In: IDMI-Primar
    Goethe-Universität Frankfurt, ed. <i>Beiträge Zum Mathematikunterricht 2022 -
    56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>. ; 2022:773-776.'
  apa: Graf, L. M., Häsel-Weide, U., Nührenbörger, M., &#38; Höveler, K. (2022). Lernwege
    von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen.
    In IDMI-Primar Goethe-Universität Frankfurt (Ed.), <i>Beiträge zum Mathematikunterricht
    2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik</i> (pp.
    773–776).
  bibtex: '@inproceedings{Graf_Häsel-Weide_Nührenbörger_Höveler_2022, title={Lernwege
    von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen},
    booktitle={Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik}, author={Graf, Lara Marie and Häsel-Weide, Uta and
    Nührenbörger, Marcus and Höveler, Karina}, editor={IDMI-Primar Goethe-Universität
    Frankfurt}, year={2022}, pages={773–776} }'
  chicago: Graf, Lara Marie, Uta Häsel-Weide, Marcus Nührenbörger, and Karina Höveler.
    “Lernwege von Fachfremd Unterrichtenden Lehrkräften Zur Ablösung Vom Zählenden
    Rechnen.” In <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung Der
    Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität
    Frankfurt, 773–76, 2022.
  ieee: L. M. Graf, U. Häsel-Weide, M. Nührenbörger, and K. Höveler, “Lernwege von
    fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden Rechnen,” in
    <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
    für Didaktik der Mathematik</i>, Frankfurt am Main, 2022, pp. 773–776.
  mla: Graf, Lara Marie, et al. “Lernwege von Fachfremd Unterrichtenden Lehrkräften
    Zur Ablösung Vom Zählenden Rechnen.” <i>Beiträge Zum Mathematikunterricht 2022
    - 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by
    IDMI-Primar Goethe-Universität Frankfurt, 2022, pp. 773–76.
  short: 'L.M. Graf, U. Häsel-Weide, M. Nührenbörger, K. Höveler, in: IDMI-Primar
    Goethe-Universität Frankfurt (Ed.), Beiträge Zum Mathematikunterricht 2022 - 56.
    Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, 2022, pp. 773–776.'
conference:
  end_date: 02.09.2022
  location: Frankfurt am Main
  name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
  start_date: 29.08.2022
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2023-09-27T10:01:52Z
date_updated: 2023-09-27T10:02:12Z
department:
- _id: '543'
language:
- iso: eng
page: 773-776
publication: Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik
status: public
title: Lernwege von fachfremd unterrichtenden Lehrkräften zur Ablösung vom zählenden
  Rechnen
type: conference
user_id: '44184'
year: '2022'
...
---
_id: '47519'
author:
- first_name: Imke
  full_name: Schwerin, Imke
  id: '48912'
  last_name: Schwerin
citation:
  ama: 'Schwerin I. Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und
    Verständnis. In: IDMI-Primar Goethe-Universität Frankfurt, ed. <i>Beiträge Zum
    Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik Der
    Mathematik</i>. ; 2022:401-404.'
  apa: Schwerin, I. (2022). Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen
    und Verständnis. In IDMI-Primar Goethe-Universität Frankfurt (Ed.), <i>Beiträge
    zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft für Didaktik
    der Mathematik</i> (pp. 401–404).
  bibtex: '@inproceedings{Schwerin_2022, title={Verdoppeln und Halbieren im 2. Schuljahr
    - Vorgehensweisen und Verständnis}, booktitle={Beiträge zum Mathematikunterricht
    2022 - 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, author={Schwerin,
    Imke}, editor={IDMI-Primar Goethe-Universität Frankfurt}, year={2022}, pages={401–404}
    }'
  chicago: Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen
    Und Verständnis.” In <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung
    Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität
    Frankfurt, 401–4, 2022.
  ieee: I. Schwerin, “Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und
    Verständnis,” in <i>Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung
    der Gesellschaft für Didaktik der Mathematik</i>, Frankfurt am Main, 2022, pp.
    401–404.
  mla: Schwerin, Imke. “Verdoppeln Und Halbieren Im 2. Schuljahr - Vorgehensweisen
    Und Verständnis.” <i>Beiträge Zum Mathematikunterricht 2022 - 56. Jahrestagung
    Der Gesellschaft Für Didaktik Der Mathematik</i>, edited by IDMI-Primar Goethe-Universität
    Frankfurt, 2022, pp. 401–04.
  short: 'I. Schwerin, in: IDMI-Primar Goethe-Universität Frankfurt (Ed.), Beiträge
    Zum Mathematikunterricht 2022 - 56. Jahrestagung Der Gesellschaft Für Didaktik
    Der Mathematik, 2022, pp. 401–404.'
conference:
  end_date: 02.09.2022
  location: Frankfurt am Main
  name: 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik
  start_date: 29.08.2022
corporate_editor:
- IDMI-Primar Goethe-Universität Frankfurt
date_created: 2023-09-27T09:53:36Z
date_updated: 2023-09-27T09:54:00Z
department:
- _id: '543'
language:
- iso: eng
page: 401-404
publication: Beiträge zum Mathematikunterricht 2022 - 56. Jahrestagung der Gesellschaft
  für Didaktik der Mathematik
status: public
title: Verdoppeln und Halbieren im 2. Schuljahr - Vorgehensweisen und Verständnis
type: conference
user_id: '44184'
year: '2022'
...
---
_id: '56201'
author:
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
  orcid: 0000-0002-6964-7123
citation:
  ama: 'Biehler R, Hoffmann M. Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
    – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
    und fachdidaktischer Lehre im gymnasialen Lehramtsstudium. In: <i>Konzepte und
    Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Berlin
    Heidelberg; 2022. doi:<a href="https://doi.org/10.1007/978-3-662-63948-1_4">10.1007/978-3-662-63948-1_4</a>'
  apa: Biehler, R., &#38; Hoffmann, M. (2022). Fachwissen als Grundlage fachdidaktischer
    Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
    fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.
    In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>.
    Springer Berlin Heidelberg. <a href="https://doi.org/10.1007/978-3-662-63948-1_4">https://doi.org/10.1007/978-3-662-63948-1_4</a>
  bibtex: '@inbook{Biehler_Hoffmann_2022, place={Berlin, Heidelberg}, title={Fachwissen
    als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für die Herstellung
    konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer Lehre
    im gymnasialen Lehramtsstudium}, DOI={<a href="https://doi.org/10.1007/978-3-662-63948-1_4">10.1007/978-3-662-63948-1_4</a>},
    booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik},
    publisher={Springer Berlin Heidelberg}, author={Biehler, Rolf and Hoffmann, Max},
    year={2022} }'
  chicago: 'Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
    Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
    fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
    In <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>.
    Berlin, Heidelberg: Springer Berlin Heidelberg, 2022. <a href="https://doi.org/10.1007/978-3-662-63948-1_4">https://doi.org/10.1007/978-3-662-63948-1_4</a>.'
  ieee: 'R. Biehler and M. Hoffmann, “Fachwissen als Grundlage fachdidaktischer Urteilskompetenz
    – Beispiele für die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher
    und fachdidaktischer Lehre im gymnasialen Lehramtsstudium,” in <i>Konzepte und
    Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Berlin, Heidelberg:
    Springer Berlin Heidelberg, 2022.'
  mla: Biehler, Rolf, and Max Hoffmann. “Fachwissen als Grundlage fachdidaktischer
    Urteilskompetenz – Beispiele für die Herstellung konzeptueller Bezüge zwischen
    fachwissenschaftlicher und fachdidaktischer Lehre im gymnasialen Lehramtsstudium.”
    <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>,
    Springer Berlin Heidelberg, 2022, doi:<a href="https://doi.org/10.1007/978-3-662-63948-1_4">10.1007/978-3-662-63948-1_4</a>.
  short: 'R. Biehler, M. Hoffmann, in: Konzepte und Studien zur Hochschuldidaktik
    und Lehrerbildung Mathematik, Springer Berlin Heidelberg, Berlin, Heidelberg,
    2022.'
date_created: 2024-09-23T08:51:39Z
date_updated: 2024-09-25T08:26:46Z
department:
- _id: '363'
doi: 10.1007/978-3-662-63948-1_4
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-662-63948-1_4
place: Berlin, Heidelberg
publication: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
publication_identifier:
  isbn:
  - '9783662639474'
  - '9783662639481'
  issn:
  - 2197-8751
  - 2197-876X
publication_status: published
publisher: Springer Berlin Heidelberg
status: public
title: Fachwissen als Grundlage fachdidaktischer Urteilskompetenz – Beispiele für
  die Herstellung konzeptueller Bezüge zwischen fachwissenschaftlicher und fachdidaktischer
  Lehre im gymnasialen Lehramtsstudium
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '56203'
author:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
  orcid: 0000-0002-6964-7123
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Hoffmann M, Biehler R. Schnittstellenaufgaben in der Analysis I zur Verknüpfung
    von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie.
    In: <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>.
    Springer Fachmedien Wiesbaden; 2022. doi:<a href="https://doi.org/10.1007/978-3-658-34067-4_20">10.1007/978-3-658-34067-4_20</a>'
  apa: Hoffmann, M., &#38; Biehler, R. (2022). Schnittstellenaufgaben in der Analysis
    I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
    einer Evaluationsstudie. In <i>Konzepte und Studien zur Hochschuldidaktik und
    Lehrerbildung Mathematik</i>. Springer Fachmedien Wiesbaden. <a href="https://doi.org/10.1007/978-3-658-34067-4_20">https://doi.org/10.1007/978-3-658-34067-4_20</a>
  bibtex: '@inbook{Hoffmann_Biehler_2022, place={Wiesbaden}, title={Schnittstellenaufgaben
    in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel
    und Ergebnisse einer Evaluationsstudie}, DOI={<a href="https://doi.org/10.1007/978-3-658-34067-4_20">10.1007/978-3-658-34067-4_20</a>},
    booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik},
    publisher={Springer Fachmedien Wiesbaden}, author={Hoffmann, Max and Biehler,
    Rolf}, year={2022} }'
  chicago: 'Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis
    I zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
    einer Evaluationsstudie.” In <i>Konzepte und Studien zur Hochschuldidaktik und
    Lehrerbildung Mathematik</i>. Wiesbaden: Springer Fachmedien Wiesbaden, 2022.
    <a href="https://doi.org/10.1007/978-3-658-34067-4_20">https://doi.org/10.1007/978-3-658-34067-4_20</a>.'
  ieee: 'M. Hoffmann and R. Biehler, “Schnittstellenaufgaben in der Analysis I zur
    Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
    einer Evaluationsstudie,” in <i>Konzepte und Studien zur Hochschuldidaktik und
    Lehrerbildung Mathematik</i>, Wiesbaden: Springer Fachmedien Wiesbaden, 2022.'
  mla: Hoffmann, Max, and Rolf Biehler. “Schnittstellenaufgaben in der Analysis I
    zur Verknüpfung von Schul- und Hochschulmathematik – Aufgabenbeispiel und Ergebnisse
    einer Evaluationsstudie.” <i>Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung
    Mathematik</i>, Springer Fachmedien Wiesbaden, 2022, doi:<a href="https://doi.org/10.1007/978-3-658-34067-4_20">10.1007/978-3-658-34067-4_20</a>.
  short: 'M. Hoffmann, R. Biehler, in: Konzepte und Studien zur Hochschuldidaktik
    und Lehrerbildung Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2022.'
date_created: 2024-09-23T08:54:03Z
date_updated: 2024-09-25T08:27:00Z
department:
- _id: '363'
doi: 10.1007/978-3-658-34067-4_20
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/chapter/10.1007/978-3-658-34067-4_20
place: Wiesbaden
publication: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
publication_identifier:
  isbn:
  - '9783658340667'
  - '9783658340674'
  issn:
  - 2197-8751
  - 2197-876X
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Schnittstellenaufgaben in der Analysis I zur Verknüpfung von Schul- und Hochschulmathematik
  – Aufgabenbeispiel und Ergebnisse einer Evaluationsstudie
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '43231'
author:
- first_name: Susanne
  full_name: Podworny, Susanne
  id: '30619'
  last_name: Podworny
  orcid: 0000-0002-6313-5987
- first_name: Daniel
  full_name: Frischemeier, Daniel
  last_name: Frischemeier
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Podworny S, Frischemeier D, Biehler R. Civic Statistics for Prospective Teachers:
    Developing Content and Pedagogical Content Knowledge Through Project Work. In:
    <i>Statistics for Empowerment and Social Engagement</i>. Springer International
    Publishing; 2022. doi:<a href="https://doi.org/10.1007/978-3-031-20748-8_15">10.1007/978-3-031-20748-8_15</a>'
  apa: 'Podworny, S., Frischemeier, D., &#38; Biehler, R. (2022). Civic Statistics
    for Prospective Teachers: Developing Content and Pedagogical Content Knowledge
    Through Project Work. In <i>Statistics for Empowerment and Social Engagement</i>.
    Springer International Publishing. <a href="https://doi.org/10.1007/978-3-031-20748-8_15">https://doi.org/10.1007/978-3-031-20748-8_15</a>'
  bibtex: '@inbook{Podworny_Frischemeier_Biehler_2022, place={Cham}, title={Civic
    Statistics for Prospective Teachers: Developing Content and Pedagogical Content
    Knowledge Through Project Work}, DOI={<a href="https://doi.org/10.1007/978-3-031-20748-8_15">10.1007/978-3-031-20748-8_15</a>},
    booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer
    International Publishing}, author={Podworny, Susanne and Frischemeier, Daniel
    and Biehler, Rolf}, year={2022} }'
  chicago: 'Podworny, Susanne, Daniel Frischemeier, and Rolf Biehler. “Civic Statistics
    for Prospective Teachers: Developing Content and Pedagogical Content Knowledge
    Through Project Work.” In <i>Statistics for Empowerment and Social Engagement</i>.
    Cham: Springer International Publishing, 2022. <a href="https://doi.org/10.1007/978-3-031-20748-8_15">https://doi.org/10.1007/978-3-031-20748-8_15</a>.'
  ieee: 'S. Podworny, D. Frischemeier, and R. Biehler, “Civic Statistics for Prospective
    Teachers: Developing Content and Pedagogical Content Knowledge Through Project
    Work,” in <i>Statistics for Empowerment and Social Engagement</i>, Cham: Springer
    International Publishing, 2022.'
  mla: 'Podworny, Susanne, et al. “Civic Statistics for Prospective Teachers: Developing
    Content and Pedagogical Content Knowledge Through Project Work.” <i>Statistics
    for Empowerment and Social Engagement</i>, Springer International Publishing,
    2022, doi:<a href="https://doi.org/10.1007/978-3-031-20748-8_15">10.1007/978-3-031-20748-8_15</a>.'
  short: 'S. Podworny, D. Frischemeier, R. Biehler, in: Statistics for Empowerment
    and Social Engagement, Springer International Publishing, Cham, 2022.'
date_created: 2023-03-30T13:11:51Z
date_updated: 2024-09-25T08:29:42Z
department:
- _id: '363'
doi: 10.1007/978-3-031-20748-8_15
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1007/978-3-031-20748-8_15
place: Cham
publication: Statistics for Empowerment and Social Engagement
publication_identifier:
  isbn:
  - '9783031207471'
  - '9783031207488'
publication_status: published
publisher: Springer International Publishing
status: public
title: 'Civic Statistics for Prospective Teachers: Developing Content and Pedagogical
  Content Knowledge Through Project Work'
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '43230'
author:
- first_name: Daniel
  full_name: Frischemeier, Daniel
  last_name: Frischemeier
- first_name: Susanne
  full_name: Podworny, Susanne
  id: '30619'
  last_name: Podworny
  orcid: 0000-0002-6313-5987
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Frischemeier D, Podworny S, Biehler R. Data Visualization Packages for Non-inferential
    Civic Statistics in High School Classrooms. In: <i>Statistics for Empowerment
    and Social Engagement</i>. Springer International Publishing; 2022:199-236. doi:<a
    href="https://doi.org/10.1007/978-3-031-20748-8_9">10.1007/978-3-031-20748-8_9</a>'
  apa: Frischemeier, D., Podworny, S., &#38; Biehler, R. (2022). Data Visualization
    Packages for Non-inferential Civic Statistics in High School Classrooms. In <i>Statistics
    for Empowerment and Social Engagement</i> (pp. 199–236). Springer International
    Publishing. <a href="https://doi.org/10.1007/978-3-031-20748-8_9">https://doi.org/10.1007/978-3-031-20748-8_9</a>
  bibtex: '@inbook{Frischemeier_Podworny_Biehler_2022, place={Cham}, title={Data Visualization
    Packages for Non-inferential Civic Statistics in High School Classrooms}, DOI={<a
    href="https://doi.org/10.1007/978-3-031-20748-8_9">10.1007/978-3-031-20748-8_9</a>},
    booktitle={Statistics for Empowerment and Social Engagement}, publisher={Springer
    International Publishing}, author={Frischemeier, Daniel and Podworny, Susanne
    and Biehler, Rolf}, year={2022}, pages={199–236} }'
  chicago: 'Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Data Visualization
    Packages for Non-Inferential Civic Statistics in High School Classrooms.” In <i>Statistics
    for Empowerment and Social Engagement</i>, 199–236. Cham: Springer International
    Publishing, 2022. <a href="https://doi.org/10.1007/978-3-031-20748-8_9">https://doi.org/10.1007/978-3-031-20748-8_9</a>.'
  ieee: 'D. Frischemeier, S. Podworny, and R. Biehler, “Data Visualization Packages
    for Non-inferential Civic Statistics in High School Classrooms,” in <i>Statistics
    for Empowerment and Social Engagement</i>, Cham: Springer International Publishing,
    2022, pp. 199–236.'
  mla: Frischemeier, Daniel, et al. “Data Visualization Packages for Non-Inferential
    Civic Statistics in High School Classrooms.” <i>Statistics for Empowerment and
    Social Engagement</i>, Springer International Publishing, 2022, pp. 199–236, doi:<a
    href="https://doi.org/10.1007/978-3-031-20748-8_9">10.1007/978-3-031-20748-8_9</a>.
  short: 'D. Frischemeier, S. Podworny, R. Biehler, in: Statistics for Empowerment
    and Social Engagement, Springer International Publishing, Cham, 2022, pp. 199–236.'
date_created: 2023-03-30T13:08:32Z
date_updated: 2024-09-25T08:29:55Z
department:
- _id: '363'
doi: 10.1007/978-3-031-20748-8_9
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.1007/978-3-031-20748-8_9
page: 199-236
place: Cham
publication: Statistics for Empowerment and Social Engagement
publication_identifier:
  isbn:
  - '9783031207471'
  - '9783031207488'
publication_status: published
publisher: Springer International Publishing
status: public
title: Data Visualization Packages for Non-inferential Civic Statistics in High School
  Classrooms
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '39062'
author:
- first_name: Michael
  full_name: Liebendörfer, Michael
  id: '30933'
  last_name: Liebendörfer
  orcid: 0000-0001-9887-2074
- first_name: Angelo
  full_name: Profeta, Angelo
  last_name: Profeta
- first_name: Sandra
  full_name: Krämer, Sandra
  last_name: Krämer
- first_name: Sarah
  full_name: Schlüter, Sarah
  last_name: Schlüter
- first_name: Silvia
  full_name: Becher, Silvia
  last_name: Becher
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
- first_name: Tobias
  full_name: Mai, Tobias
  last_name: Mai
- first_name: Angela
  full_name: Schmitz, Angela
  last_name: Schmitz
citation:
  ama: 'Liebendörfer M, Profeta A, Krämer S, et al. Enriching videos with interactive
    questions to enhance students’ cognitive activity: concept and implementation.
    In: ; 2022.'
  apa: 'Liebendörfer, M., Profeta, A., Krämer, S., Schlüter, S., Becher, S., Biehler,
    R., Mai, T., &#38; Schmitz, A. (2022). <i>Enriching videos with interactive questions
    to enhance students’ cognitive activity: concept and implementation</i>. Twelfth
    Congress of the European Society for Research in Mathematics Education (CERME12),
    Bozen-Bolzano, Italy.'
  bibtex: '@inproceedings{Liebendörfer_Profeta_Krämer_Schlüter_Becher_Biehler_Mai_Schmitz_2022,
    title={Enriching videos with interactive questions to enhance students’ cognitive
    activity: concept and implementation}, author={Liebendörfer, Michael and Profeta,
    Angelo and Krämer, Sandra and Schlüter, Sarah and Becher, Silvia and Biehler,
    Rolf and Mai, Tobias and Schmitz, Angela}, year={2022} }'
  chicago: 'Liebendörfer, Michael, Angelo Profeta, Sandra Krämer, Sarah Schlüter,
    Silvia Becher, Rolf Biehler, Tobias Mai, and Angela Schmitz. “Enriching Videos
    with Interactive Questions to Enhance Students’ Cognitive Activity: Concept and
    Implementation,” 2022.'
  ieee: 'M. Liebendörfer <i>et al.</i>, “Enriching videos with interactive questions
    to enhance students’ cognitive activity: concept and implementation,” presented
    at the Twelfth Congress of the European Society for Research in Mathematics Education
    (CERME12), Bozen-Bolzano, Italy, 2022.'
  mla: 'Liebendörfer, Michael, et al. <i>Enriching Videos with Interactive Questions
    to Enhance Students’ Cognitive Activity: Concept and Implementation</i>. 2022.'
  short: 'M. Liebendörfer, A. Profeta, S. Krämer, S. Schlüter, S. Becher, R. Biehler,
    T. Mai, A. Schmitz, in: 2022.'
conference:
  end_date: 2022-02-06
  location: Bozen-Bolzano, Italy
  name: Twelfth Congress of the European Society for Research in Mathematics Education
    (CERME12)
  start_date: 2022-02-02
date_created: 2023-01-24T08:53:20Z
date_updated: 2024-09-25T08:30:09Z
department:
- _id: '363'
- _id: '625'
language:
- iso: eng
main_file_link:
- url: https://hal.science/hal-03749054
status: public
title: 'Enriching videos with interactive questions to enhance students’ cognitive
  activity: concept and implementation'
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '39064'
author:
- first_name: Susanne
  full_name: Podworny, Susanne
  id: '30619'
  last_name: Podworny
  orcid: 0000-0002-6313-5987
- first_name: Franz Yannik
  full_name: Fleischer, Franz Yannik
  id: '42660'
  last_name: Fleischer
  orcid: https://orcid.org/0000-0003-0318-0329
- first_name: Dietlinde
  full_name: Stroop, Dietlinde
  last_name: Stroop
- first_name: Rolf
  full_name: Biehler, Rolf
  id: '16274'
  last_name: Biehler
citation:
  ama: 'Podworny S, Fleischer FY, Stroop D, Biehler R. An example of rich, real and
    multivariate survey data for use in school. In: ; 2022.'
  apa: Podworny, S., Fleischer, F. Y., Stroop, D., &#38; Biehler, R. (2022). <i>An
    example of rich, real and multivariate survey data for use in school</i>. Twelfth
    Congress of the European Society for Research in Mathematics Education (CERME12),
    Bozen-Bolzano, Italy.
  bibtex: '@inproceedings{Podworny_Fleischer_Stroop_Biehler_2022, title={An example
    of rich, real and multivariate survey data for use in school}, author={Podworny,
    Susanne and Fleischer, Franz Yannik and Stroop, Dietlinde and Biehler, Rolf},
    year={2022} }'
  chicago: Podworny, Susanne, Franz Yannik Fleischer, Dietlinde Stroop, and Rolf Biehler.
    “An Example of Rich, Real and Multivariate Survey Data for Use in School,” 2022.
  ieee: S. Podworny, F. Y. Fleischer, D. Stroop, and R. Biehler, “An example of rich,
    real and multivariate survey data for use in school,” presented at the Twelfth
    Congress of the European Society for Research in Mathematics Education (CERME12),
    Bozen-Bolzano, Italy, 2022.
  mla: Podworny, Susanne, et al. <i>An Example of Rich, Real and Multivariate Survey
    Data for Use in School</i>. 2022.
  short: 'S. Podworny, F.Y. Fleischer, D. Stroop, R. Biehler, in: 2022.'
conference:
  end_date: 2022-02-06
  location: Bozen-Bolzano, Italy
  name: Twelfth Congress of the European Society for Research in Mathematics Education
    (CERME12)
  start_date: 2022-02-02
date_created: 2023-01-24T08:55:09Z
date_updated: 2024-09-25T08:29:28Z
department:
- _id: '363'
language:
- iso: eng
main_file_link:
- url: https://hal.archives-ouvertes.fr/hal-03751842
status: public
title: An example of rich, real and multivariate survey data for use in school
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '56251'
abstract:
- lang: eng
  text: '<jats:p>Statistical reasoning and the confrontation with first ideas of uncertainty
    can already be enhanced in primary school. A challenge is how to relate theoretical-combinatorial
    aspects to empirical frequency aspects, given that fraction concepts are usually
    not available at primary school. In the frame of a Design Based Research approach
    we have designed and realized a teaching sequence consisting of seven lessons
    to develop statistical reasoning about uncertainty of grade 4 students (age 10-11).
    To supervise their learning processes we collected data on different levels: (a)
    written pre/post-tests, (b) working notes after each lesson and (c) interviews
    after the teaching unit. In this paper we will mainly present the design of teaching
    unit and first results from the analysis of pre- and posttests.</jats:p>'
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. Design of a teaching unit to develop primary school
    students ́ reasoning about uncertainty in multi-step chance experiments. In: <i>Decision
    Making Based on Data Proceedings IASE 2019 Satellite Conference</i>. International
    Association for Statistical Education; 2022. doi:<a href="https://doi.org/10.52041/srap.19304">10.52041/srap.19304</a>'
  apa: Frischemeier, D., &#38; Biehler, R. (2022). Design of a teaching unit to develop
    primary school students ́ reasoning about uncertainty in multi-step chance experiments.
    <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>.
    <a href="https://doi.org/10.52041/srap.19304">https://doi.org/10.52041/srap.19304</a>
  bibtex: '@inproceedings{Frischemeier_Biehler_2022, title={Design of a teaching unit
    to develop primary school students ́ reasoning about uncertainty in multi-step
    chance experiments}, DOI={<a href="https://doi.org/10.52041/srap.19304">10.52041/srap.19304</a>},
    booktitle={Decision Making Based on Data Proceedings IASE 2019 Satellite Conference},
    publisher={International Association for Statistical Education}, author={Frischemeier,
    Daniel and Biehler, Rolf}, year={2022} }'
  chicago: Frischemeier, Daniel, and Rolf Biehler. “Design of a Teaching Unit to Develop
    Primary School Students ́ Reasoning about Uncertainty in Multi-Step Chance Experiments.”
    In <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>.
    International Association for Statistical Education, 2022. <a href="https://doi.org/10.52041/srap.19304">https://doi.org/10.52041/srap.19304</a>.
  ieee: 'D. Frischemeier and R. Biehler, “Design of a teaching unit to develop primary
    school students ́ reasoning about uncertainty in multi-step chance experiments,”
    2022, doi: <a href="https://doi.org/10.52041/srap.19304">10.52041/srap.19304</a>.'
  mla: Frischemeier, Daniel, and Rolf Biehler. “Design of a Teaching Unit to Develop
    Primary School Students ́ Reasoning about Uncertainty in Multi-Step Chance Experiments.”
    <i>Decision Making Based on Data Proceedings IASE 2019 Satellite Conference</i>,
    International Association for Statistical Education, 2022, doi:<a href="https://doi.org/10.52041/srap.19304">10.52041/srap.19304</a>.
  short: 'D. Frischemeier, R. Biehler, in: Decision Making Based on Data Proceedings
    IASE 2019 Satellite Conference, International Association for Statistical Education,
    2022.'
date_created: 2024-09-25T08:33:33Z
date_updated: 2024-11-12T10:59:05Z
ddc:
- '510'
department:
- _id: '363'
doi: 10.52041/srap.19304
file:
- access_level: closed
  content_type: application/pdf
  creator: krueter
  date_created: 2024-11-12T10:58:48Z
  date_updated: 2024-11-12T10:58:48Z
  file_id: '56996'
  file_name: IASE2019_Satellite_136_FRISCHEM-2.pdf
  file_size: 877055
  relation: main_file
  success: 1
file_date_updated: 2024-11-12T10:58:48Z
has_accepted_license: '1'
language:
- iso: eng
main_file_link:
- url: https://www.academia.edu/download/114249671/srap.pdf
publication: Decision Making Based on Data Proceedings IASE 2019 Satellite Conference
publication_status: published
publisher: International Association for Statistical Education
status: public
title: Design of a teaching unit to develop primary school students ́ reasoning about
  uncertainty in multi-step chance experiments
type: conference
user_id: '37888'
year: '2022'
...
---
_id: '64268'
author:
- first_name: Job
  full_name: Kuit, Job
  id: '52730'
  last_name: Kuit
citation:
  ama: Kuit J. <i>Plancherel Theory on Real Spherical Spaces</i>.; 2022.
  apa: Kuit, J. (2022). <i>Plancherel theory on real spherical spaces</i>.
  bibtex: '@book{Kuit_2022, title={Plancherel theory on real spherical spaces}, author={Kuit,
    Job}, year={2022} }'
  chicago: Kuit, Job. <i>Plancherel Theory on Real Spherical Spaces</i>, 2022.
  ieee: J. Kuit, <i>Plancherel theory on real spherical spaces</i>. 2022.
  mla: Kuit, Job. <i>Plancherel Theory on Real Spherical Spaces</i>. 2022.
  short: J. Kuit, Plancherel Theory on Real Spherical Spaces, 2022.
date_created: 2026-02-19T13:18:11Z
date_updated: 2026-02-19T13:24:06Z
ddc:
- '510'
department:
- _id: '10'
file:
- access_level: closed
  content_type: application/pdf
  creator: jobkuit
  date_created: 2026-02-19T13:17:23Z
  date_updated: 2026-02-19T13:17:23Z
  file_id: '64269'
  file_name: HabilitatieThesis.pdf
  file_size: 1510358
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T13:17:23Z
has_accepted_license: '1'
language:
- iso: eng
status: public
title: Plancherel theory on real spherical spaces
type: habilitation
user_id: '52730'
year: '2022'
...
---
_id: '64570'
article_number: '9'
author:
- first_name: Martin
  full_name: Olbrich, Martin
  last_name: Olbrich
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
citation:
  ama: Olbrich M, Palmirotta G. Delorme’s intertwining conditions for sections of
    homogeneous vector bundles on two- and three-dimensional hyperbolic spaces. <i>Annals
    of Global Analysis and Geometry</i>. 2022;63(1). doi:<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>
  apa: Olbrich, M., &#38; Palmirotta, G. (2022). Delorme’s intertwining conditions
    for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic
    spaces. <i>Annals of Global Analysis and Geometry</i>, <i>63</i>(1), Article 9.
    <a href="https://doi.org/10.1007/s10455-022-09882-w">https://doi.org/10.1007/s10455-022-09882-w</a>
  bibtex: '@article{Olbrich_Palmirotta_2022, title={Delorme’s intertwining conditions
    for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic
    spaces}, volume={63}, DOI={<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>},
    number={19}, journal={Annals of Global Analysis and Geometry}, publisher={Springer
    Science and Business Media LLC}, author={Olbrich, Martin and Palmirotta, Guendalina},
    year={2022} }'
  chicago: Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions
    for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic
    Spaces.” <i>Annals of Global Analysis and Geometry</i> 63, no. 1 (2022). <a href="https://doi.org/10.1007/s10455-022-09882-w">https://doi.org/10.1007/s10455-022-09882-w</a>.
  ieee: 'M. Olbrich and G. Palmirotta, “Delorme’s intertwining conditions for sections
    of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces,”
    <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, Art. no. 9, 2022,
    doi: <a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>.'
  mla: Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions
    for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic
    Spaces.” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, 9, Springer
    Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>.
  short: M. Olbrich, G. Palmirotta, Annals of Global Analysis and Geometry 63 (2022).
date_created: 2026-02-20T20:02:50Z
date_updated: 2026-02-20T20:03:38Z
department:
- _id: '10'
- _id: '548'
doi: 10.1007/s10455-022-09882-w
extern: '1'
intvolume: '        63'
issue: '1'
language:
- iso: eng
publication: Annals of Global Analysis and Geometry
publication_identifier:
  issn:
  - 0232-704X
  - 1572-9060
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Delorme’s intertwining conditions for sections of homogeneous vector bundles
  on two- and three-dimensional hyperbolic spaces
type: journal_article
user_id: '109467'
volume: 63
year: '2022'
...
---
_id: '64571'
abstract:
- lang: eng
  text: We study the Fourier transform for compactly supported distributional sections
    of complex homogeneous vector bundles on symmetric spaces of non-compact type
    $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's
    Paley-Wiener theorem for compactly supported smooth functions on a real reductive
    group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz
    theorems for sections.
author:
- first_name: Martin
  full_name: Olbrich, Martin
  last_name: Olbrich
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
citation:
  ama: Olbrich M, Palmirotta G. A topological Paley-Wiener-Schwartz Theorem for sections
    of homogeneous vector bundles on $G/K$. <i>Journal of Lie theory</i>. 2022;34(2):53--384.
  apa: Olbrich, M., &#38; Palmirotta, G. (2022). A topological Paley-Wiener-Schwartz
    Theorem for sections of homogeneous vector bundles on $G/K$. <i>Journal of Lie
    Theory</i>, <i>34</i>(2), 53--384.
  bibtex: '@article{Olbrich_Palmirotta_2022, title={A topological Paley-Wiener-Schwartz
    Theorem for sections of homogeneous vector bundles on $G/K$}, volume={34}, number={2},
    journal={Journal of Lie theory}, publisher={Heldermann Verlag}, author={Olbrich,
    Martin and Palmirotta, Guendalina}, year={2022}, pages={53--384} }'
  chicago: 'Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz
    Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie
    Theory</i> 34, no. 2 (2022): 53--384.'
  ieee: M. Olbrich and G. Palmirotta, “A topological Paley-Wiener-Schwartz Theorem
    for sections of homogeneous vector bundles on $G/K$,” <i>Journal of Lie theory</i>,
    vol. 34, no. 2, pp. 53--384, 2022.
  mla: Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz
    Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie
    Theory</i>, vol. 34, no. 2, Heldermann Verlag, 2022, pp. 53--384.
  short: M. Olbrich, G. Palmirotta, Journal of Lie Theory 34 (2022) 53--384.
date_created: 2026-02-20T20:04:49Z
date_updated: 2026-02-20T20:07:31Z
department:
- _id: '10'
- _id: '548'
extern: '1'
external_id:
  arxiv:
  - '2202.06905'
intvolume: '        34'
issue: '2'
language:
- iso: eng
page: 53--384
publication: Journal of Lie theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector
  bundles on $G/K$
type: journal_article
user_id: '109467'
volume: 34
year: '2022'
...
---
_id: '56202'
author:
- first_name: Johann
  full_name: Sjuts, Johann
  last_name: Sjuts
citation:
  ama: 'Sjuts J. Lehrerbildung als staatliche und gesellschaftliche Aufgabe angesichts
    gegenwärtiger und zukünftiger Herausforderungen. In: <i>Konzepte und Studien zur
    Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Fachmedien Wiesbaden;
    2022. doi:<a href="https://doi.org/10.1007/978-3-658-34067-4_2">10.1007/978-3-658-34067-4_2</a>'
  apa: Sjuts, J. (2022). Lehrerbildung als staatliche und gesellschaftliche Aufgabe
    angesichts gegenwärtiger und zukünftiger Herausforderungen. In <i>Konzepte und
    Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Springer Fachmedien
    Wiesbaden. <a href="https://doi.org/10.1007/978-3-658-34067-4_2">https://doi.org/10.1007/978-3-658-34067-4_2</a>
  bibtex: '@inbook{Sjuts_2022, place={Wiesbaden}, title={Lehrerbildung als staatliche
    und gesellschaftliche Aufgabe angesichts gegenwärtiger und zukünftiger Herausforderungen},
    DOI={<a href="https://doi.org/10.1007/978-3-658-34067-4_2">10.1007/978-3-658-34067-4_2</a>},
    booktitle={Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik},
    publisher={Springer Fachmedien Wiesbaden}, author={Sjuts, Johann}, year={2022}
    }'
  chicago: 'Sjuts, Johann. “Lehrerbildung als staatliche und gesellschaftliche Aufgabe
    angesichts gegenwärtiger und zukünftiger Herausforderungen.” In <i>Konzepte und
    Studien zur Hochschuldidaktik und Lehrerbildung Mathematik</i>. Wiesbaden: Springer
    Fachmedien Wiesbaden, 2022. <a href="https://doi.org/10.1007/978-3-658-34067-4_2">https://doi.org/10.1007/978-3-658-34067-4_2</a>.'
  ieee: 'J. Sjuts, “Lehrerbildung als staatliche und gesellschaftliche Aufgabe angesichts
    gegenwärtiger und zukünftiger Herausforderungen,” in <i>Konzepte und Studien zur
    Hochschuldidaktik und Lehrerbildung Mathematik</i>, Wiesbaden: Springer Fachmedien
    Wiesbaden, 2022.'
  mla: Sjuts, Johann. “Lehrerbildung als staatliche und gesellschaftliche Aufgabe
    angesichts gegenwärtiger und zukünftiger Herausforderungen.” <i>Konzepte und Studien
    zur Hochschuldidaktik und Lehrerbildung Mathematik</i>, Springer Fachmedien Wiesbaden,
    2022, doi:<a href="https://doi.org/10.1007/978-3-658-34067-4_2">10.1007/978-3-658-34067-4_2</a>.
  short: 'J. Sjuts, in: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung
    Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2022.'
date_created: 2024-09-23T08:53:28Z
date_updated: 2024-11-26T11:48:53Z
department:
- _id: '643'
doi: 10.1007/978-3-658-34067-4_2
language:
- iso: ger
place: Wiesbaden
publication: Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik
publication_identifier:
  isbn:
  - '9783658340667'
  - '9783658340674'
  issn:
  - 2197-8751
  - 2197-876X
publication_status: published
publisher: Springer Fachmedien Wiesbaden
status: public
title: Lehrerbildung als staatliche und gesellschaftliche Aufgabe angesichts gegenwärtiger
  und zukünftiger Herausforderungen
type: book_chapter
user_id: '37888'
year: '2022'
...
---
_id: '51385'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: K.-U.
  full_name: Bux, K.-U.
  last_name: Bux
citation:
  ama: Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree.
    <i>J of Spectral Theory</i>. 2022;12:659-681.
  apa: Hilgert, J., Weich, T., &#38; Bux, K.-U. (2022). Poisson transforms for trees
    of bounded degree. <i>J. of Spectral Theory</i>, <i>12</i>, 659–681.
  bibtex: '@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of
    bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert,
    Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }'
  chicago: 'Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for
    Trees of Bounded Degree.” <i>J. of Spectral Theory</i> 12 (2022): 659–81.'
  ieee: J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded
    degree,” <i>J. of Spectral Theory</i>, vol. 12, pp. 659–681, 2022.
  mla: Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.”
    <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.
  short: J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
date_created: 2024-02-19T06:36:17Z
date_updated: 2026-03-31T08:25:35Z
department:
- _id: '91'
intvolume: '        12'
language:
- iso: eng
page: 659-681
publication: J. of Spectral Theory
publication_status: published
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '220'
volume: 12
year: '2022'
...
---
_id: '44537'
author:
- first_name: Igor
  full_name: Burban, Igor
  id: '72064'
  last_name: Burban
- first_name: C.
  full_name: Alfes-Neumann, C.
  last_name: Alfes-Neumann
- first_name: M.
  full_name: Raum, M.
  last_name: Raum
citation:
  ama: Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maaß forms
    via quiver representations. Published online 2022.
  apa: Burban, I., Alfes-Neumann, C., &#38; Raum, M. (2022). <i>A classification of
    polyharmonic Maaß forms via quiver representations</i>.
  bibtex: '@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic
    Maaß forms via quiver representations}, author={Burban, Igor and Alfes-Neumann,
    C. and Raum, M.}, year={2022} }'
  chicago: Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic
    Maaß Forms via Quiver Representations,” 2022.
  ieee: I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic
    Maaß forms via quiver representations.” 2022.
  mla: Burban, Igor, et al. <i>A Classification of Polyharmonic Maaß Forms via Quiver
    Representations</i>. 2022.
  short: I. Burban, C. Alfes-Neumann, M. Raum, (2022).
date_created: 2023-05-07T00:54:50Z
date_updated: 2026-07-07T06:20:58Z
department:
- _id: '602'
language:
- iso: eng
main_file_link:
- url: https://doi.org/10.48550/arXiv.2207.02278
publication_status: published
status: public
title: A classification of polyharmonic Maaß forms via quiver representations
type: preprint
user_id: '72064'
year: '2022'
...
---
_id: '24169'
article_number: '133018'
author:
- first_name: Feliks
  full_name: Nüske, Feliks
  id: '81513'
  last_name: Nüske
  orcid: 0000-0003-2444-7889
- first_name: Patrick
  full_name: Gelß, Patrick
  last_name: Gelß
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
- first_name: Cecilia
  full_name: Clementi, Cecilia
  last_name: Clementi
citation:
  ama: 'Nüske F, Gelß P, Klus S, Clementi C. Tensor-based computation of metastable
    and coherent sets. <i>Physica D: Nonlinear Phenomena</i>. Published online 2021.
    doi:<a href="https://doi.org/10.1016/j.physd.2021.133018">10.1016/j.physd.2021.133018</a>'
  apa: 'Nüske, F., Gelß, P., Klus, S., &#38; Clementi, C. (2021). Tensor-based computation
    of metastable and coherent sets. <i>Physica D: Nonlinear Phenomena</i>, Article
    133018. <a href="https://doi.org/10.1016/j.physd.2021.133018">https://doi.org/10.1016/j.physd.2021.133018</a>'
  bibtex: '@article{Nüske_Gelß_Klus_Clementi_2021, title={Tensor-based computation
    of metastable and coherent sets}, DOI={<a href="https://doi.org/10.1016/j.physd.2021.133018">10.1016/j.physd.2021.133018</a>},
    number={133018}, journal={Physica D: Nonlinear Phenomena}, author={Nüske, Feliks
    and Gelß, Patrick and Klus, Stefan and Clementi, Cecilia}, year={2021} }'
  chicago: 'Nüske, Feliks, Patrick Gelß, Stefan Klus, and Cecilia Clementi. “Tensor-Based
    Computation of Metastable and Coherent Sets.” <i>Physica D: Nonlinear Phenomena</i>,
    2021. <a href="https://doi.org/10.1016/j.physd.2021.133018">https://doi.org/10.1016/j.physd.2021.133018</a>.'
  ieee: 'F. Nüske, P. Gelß, S. Klus, and C. Clementi, “Tensor-based computation of
    metastable and coherent sets,” <i>Physica D: Nonlinear Phenomena</i>, Art. no.
    133018, 2021, doi: <a href="https://doi.org/10.1016/j.physd.2021.133018">10.1016/j.physd.2021.133018</a>.'
  mla: 'Nüske, Feliks, et al. “Tensor-Based Computation of Metastable and Coherent
    Sets.” <i>Physica D: Nonlinear Phenomena</i>, 133018, 2021, doi:<a href="https://doi.org/10.1016/j.physd.2021.133018">10.1016/j.physd.2021.133018</a>.'
  short: 'F. Nüske, P. Gelß, S. Klus, C. Clementi, Physica D: Nonlinear Phenomena
    (2021).'
date_created: 2021-09-12T08:51:24Z
date_updated: 2022-01-06T06:56:08Z
department:
- _id: '101'
doi: 10.1016/j.physd.2021.133018
language:
- iso: eng
publication: 'Physica D: Nonlinear Phenomena'
publication_identifier:
  issn:
  - 0167-2789
publication_status: published
status: public
title: Tensor-based computation of metastable and coherent sets
type: journal_article
user_id: '81513'
year: '2021'
...
