---
_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'
...
---
_id: '24170'
article_number: '045016'
author:
- first_name: Stefan
  full_name: Klus, Stefan
  last_name: Klus
- first_name: Patrick
  full_name: Gelß, Patrick
  last_name: Gelß
- first_name: Feliks
  full_name: Nüske, Feliks
  id: '81513'
  last_name: Nüske
  orcid: 0000-0003-2444-7889
- first_name: Frank
  full_name: Noé, Frank
  last_name: Noé
citation:
  ama: 'Klus S, Gelß P, Nüske F, Noé F. Symmetric and antisymmetric kernels for machine
    learning problems in quantum physics and chemistry. <i>Machine Learning: Science
    and Technology</i>. Published online 2021. doi:<a href="https://doi.org/10.1088/2632-2153/ac14ad">10.1088/2632-2153/ac14ad</a>'
  apa: 'Klus, S., Gelß, P., Nüske, F., &#38; Noé, F. (2021). Symmetric and antisymmetric
    kernels for machine learning problems in quantum physics and chemistry. <i>Machine
    Learning: Science and Technology</i>, Article 045016. <a href="https://doi.org/10.1088/2632-2153/ac14ad">https://doi.org/10.1088/2632-2153/ac14ad</a>'
  bibtex: '@article{Klus_Gelß_Nüske_Noé_2021, title={Symmetric and antisymmetric kernels
    for machine learning problems in quantum physics and chemistry}, DOI={<a href="https://doi.org/10.1088/2632-2153/ac14ad">10.1088/2632-2153/ac14ad</a>},
    number={045016}, journal={Machine Learning: Science and Technology}, author={Klus,
    Stefan and Gelß, Patrick and Nüske, Feliks and Noé, Frank}, year={2021} }'
  chicago: 'Klus, Stefan, Patrick Gelß, Feliks Nüske, and Frank Noé. “Symmetric and
    Antisymmetric Kernels for Machine Learning Problems in Quantum Physics and Chemistry.”
    <i>Machine Learning: Science and Technology</i>, 2021. <a href="https://doi.org/10.1088/2632-2153/ac14ad">https://doi.org/10.1088/2632-2153/ac14ad</a>.'
  ieee: 'S. Klus, P. Gelß, F. Nüske, and F. Noé, “Symmetric and antisymmetric kernels
    for machine learning problems in quantum physics and chemistry,” <i>Machine Learning:
    Science and Technology</i>, Art. no. 045016, 2021, doi: <a href="https://doi.org/10.1088/2632-2153/ac14ad">10.1088/2632-2153/ac14ad</a>.'
  mla: 'Klus, Stefan, et al. “Symmetric and Antisymmetric Kernels for Machine Learning
    Problems in Quantum Physics and Chemistry.” <i>Machine Learning: Science and Technology</i>,
    045016, 2021, doi:<a href="https://doi.org/10.1088/2632-2153/ac14ad">10.1088/2632-2153/ac14ad</a>.'
  short: 'S. Klus, P. Gelß, F. Nüske, F. Noé, Machine Learning: Science and Technology
    (2021).'
date_created: 2021-09-12T08:52:57Z
date_updated: 2022-01-06T06:56:08Z
department:
- _id: '101'
doi: 10.1088/2632-2153/ac14ad
language:
- iso: eng
publication: 'Machine Learning: Science and Technology'
publication_identifier:
  issn:
  - 2632-2153
publication_status: published
status: public
title: Symmetric and antisymmetric kernels for machine learning problems in quantum
  physics and chemistry
type: journal_article
user_id: '81513'
year: '2021'
...
---
_id: '21195'
author:
- first_name: Christian
  full_name: Goelz, Christian
  last_name: Goelz
- first_name: Karin
  full_name: Mora, Karin
  last_name: Mora
- first_name: Julia Kristin
  full_name: Stroehlein, Julia Kristin
  last_name: Stroehlein
- first_name: Franziska Katharina
  full_name: Haase, Franziska Katharina
  last_name: Haase
- first_name: Michael
  full_name: Dellnitz, Michael
  last_name: Dellnitz
- first_name: Claus
  full_name: Reinsberger, Claus
  last_name: Reinsberger
- first_name: Solveig
  full_name: Vieluf, Solveig
  last_name: Vieluf
citation:
  ama: Goelz C, Mora K, Stroehlein JK, et al. Electrophysiological signatures of dedifferentiation
    differ between fit and less fit older adults. <i>Cognitive Neurodynamics</i>.
    2021. doi:<a href="https://doi.org/10.1007/s11571-020-09656-9">10.1007/s11571-020-09656-9</a>
  apa: Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger,
    C., &#38; Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation
    differ between fit and less fit older adults. <i>Cognitive Neurodynamics</i>.
    <a href="https://doi.org/10.1007/s11571-020-09656-9">https://doi.org/10.1007/s11571-020-09656-9</a>
  bibtex: '@article{Goelz_Mora_Stroehlein_Haase_Dellnitz_Reinsberger_Vieluf_2021,
    title={Electrophysiological signatures of dedifferentiation differ between fit
    and less fit older adults}, DOI={<a href="https://doi.org/10.1007/s11571-020-09656-9">10.1007/s11571-020-09656-9</a>},
    journal={Cognitive Neurodynamics}, author={Goelz, Christian and Mora, Karin and
    Stroehlein, Julia Kristin and Haase, Franziska Katharina and Dellnitz, Michael
    and Reinsberger, Claus and Vieluf, Solveig}, year={2021} }'
  chicago: Goelz, Christian, Karin Mora, Julia Kristin Stroehlein, Franziska Katharina
    Haase, Michael Dellnitz, Claus Reinsberger, and Solveig Vieluf. “Electrophysiological
    Signatures of Dedifferentiation Differ between Fit and Less Fit Older Adults.”
    <i>Cognitive Neurodynamics</i>, 2021. <a href="https://doi.org/10.1007/s11571-020-09656-9">https://doi.org/10.1007/s11571-020-09656-9</a>.
  ieee: C. Goelz <i>et al.</i>, “Electrophysiological signatures of dedifferentiation
    differ between fit and less fit older adults,” <i>Cognitive Neurodynamics</i>,
    2021.
  mla: Goelz, Christian, et al. “Electrophysiological Signatures of Dedifferentiation
    Differ between Fit and Less Fit Older Adults.” <i>Cognitive Neurodynamics</i>,
    2021, doi:<a href="https://doi.org/10.1007/s11571-020-09656-9">10.1007/s11571-020-09656-9</a>.
  short: C. Goelz, K. Mora, J.K. Stroehlein, F.K. Haase, M. Dellnitz, C. Reinsberger,
    S. Vieluf, Cognitive Neurodynamics (2021).
date_created: 2021-02-08T13:16:07Z
date_updated: 2022-01-06T06:54:49Z
department:
- _id: '101'
doi: 10.1007/s11571-020-09656-9
language:
- iso: eng
main_file_link:
- url: https://link.springer.com/content/pdf/10.1007/s11571-020-09656-9.pdf
publication: Cognitive Neurodynamics
status: public
title: Electrophysiological signatures of dedifferentiation differ between fit and
  less fit older adults
type: journal_article
user_id: '32643'
year: '2021'
...
---
_id: '21337'
abstract:
- lang: eng
  text: "We present a flexible trust region descend algorithm for unconstrained and\r\nconvexly
    constrained multiobjective optimization problems. It is targeted at\r\nheterogeneous
    and expensive problems, i.e., problems that have at least one\r\nobjective function
    that is computationally expensive. The method is\r\nderivative-free in the sense
    that neither need derivative information be\r\navailable for the expensive objectives
    nor are gradients approximated using\r\nrepeated function evaluations as is the
    case in finite-difference methods.\r\nInstead, a multiobjective trust region approach
    is used that works similarly to\r\nits well-known scalar pendants. Local surrogate
    models constructed from\r\nevaluation data of the true objective functions are
    employed to compute\r\npossible descent directions. In contrast to existing multiobjective
    trust\r\nregion algorithms, these surrogates are not polynomial but carefully\r\nconstructed
    radial basis function networks. This has the important advantage\r\nthat the number
    of data points scales linearly with the parameter space\r\ndimension. The local
    models qualify as fully linear and the corresponding\r\ngeneral scalar framework
    is adapted for problems with multiple objectives.\r\nConvergence to Pareto critical
    points is proven and numerical examples\r\nillustrate our findings."
article_number: '31'
author:
- first_name: Manuel Bastian
  full_name: Berkemeier, Manuel Bastian
  id: '51701'
  last_name: Berkemeier
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
citation:
  ama: Berkemeier MB, Peitz S. Derivative-Free Multiobjective Trust Region Descent
    Method Using Radial  Basis Function Surrogate Models. <i>Mathematical and Computational
    Applications</i>. 2021;26(2). doi:<a href="https://doi.org/10.3390/mca26020031">10.3390/mca26020031</a>
  apa: Berkemeier, M. B., &#38; Peitz, S. (2021). Derivative-Free Multiobjective Trust
    Region Descent Method Using Radial  Basis Function Surrogate Models. <i>Mathematical
    and Computational Applications</i>, <i>26</i>(2). <a href="https://doi.org/10.3390/mca26020031">https://doi.org/10.3390/mca26020031</a>
  bibtex: '@article{Berkemeier_Peitz_2021, title={Derivative-Free Multiobjective Trust
    Region Descent Method Using Radial  Basis Function Surrogate Models}, volume={26},
    DOI={<a href="https://doi.org/10.3390/mca26020031">10.3390/mca26020031</a>}, number={231},
    journal={Mathematical and Computational Applications}, author={Berkemeier, Manuel
    Bastian and Peitz, Sebastian}, year={2021} }'
  chicago: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective
    Trust Region Descent Method Using Radial  Basis Function Surrogate Models.” <i>Mathematical
    and Computational Applications</i> 26, no. 2 (2021). <a href="https://doi.org/10.3390/mca26020031">https://doi.org/10.3390/mca26020031</a>.
  ieee: M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region
    Descent Method Using Radial  Basis Function Surrogate Models,” <i>Mathematical
    and Computational Applications</i>, vol. 26, no. 2, 2021.
  mla: Berkemeier, Manuel Bastian, and Sebastian Peitz. “Derivative-Free Multiobjective
    Trust Region Descent Method Using Radial  Basis Function Surrogate Models.” <i>Mathematical
    and Computational Applications</i>, vol. 26, no. 2, 31, 2021, doi:<a href="https://doi.org/10.3390/mca26020031">10.3390/mca26020031</a>.
  short: M.B. Berkemeier, S. Peitz, Mathematical and Computational Applications 26
    (2021).
date_created: 2021-03-01T10:46:48Z
date_updated: 2022-01-06T06:54:55Z
department:
- _id: '101'
- _id: '655'
doi: 10.3390/mca26020031
intvolume: '        26'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.mdpi.com/2297-8747/26/2/31/pdf
oa: '1'
publication: Mathematical and Computational Applications
publication_identifier:
  eissn:
  - 2297-8747
publication_status: published
status: public
title: Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis
  Function Surrogate Models
type: journal_article
user_id: '47427'
volume: 26
year: '2021'
...
---
_id: '21820'
abstract:
- lang: eng
  text: <jats:p>The reduction of high-dimensional systems to effective models on a
    smaller set of variables is an essential task in many areas of science. For stochastic
    dynamics governed by diffusion processes, a general procedure to find effective
    equations is the conditioning approach. In this paper, we are interested in the
    spectrum of the generator of the resulting effective dynamics, and how it compares
    to the spectrum of the full generator. We prove a new relative error bound in
    terms of the eigenfunction approximation error for reversible systems. We also
    present numerical examples indicating that, if Kramers–Moyal (KM) type approximations
    are used to compute the spectrum of the reduced generator, it seems largely insensitive
    to the time window used for the KM estimators. We analyze the implications of
    these observations for systems driven by underdamped Langevin dynamics, and show
    how meaningful effective dynamics can be defined in this setting.</jats:p>
article_number: '134'
author:
- first_name: Feliks
  full_name: Nüske, Feliks
  id: '81513'
  last_name: Nüske
  orcid: 0000-0003-2444-7889
- first_name: Péter
  full_name: Koltai, Péter
  last_name: Koltai
- first_name: Lorenzo
  full_name: Boninsegna, Lorenzo
  last_name: Boninsegna
- first_name: Cecilia
  full_name: Clementi, Cecilia
  last_name: Clementi
citation:
  ama: Nüske F, Koltai P, Boninsegna L, Clementi C. Spectral Properties of Effective
    Dynamics from Conditional Expectations. <i>Entropy</i>. 2021. doi:<a href="https://doi.org/10.3390/e23020134">10.3390/e23020134</a>
  apa: Nüske, F., Koltai, P., Boninsegna, L., &#38; Clementi, C. (2021). Spectral
    Properties of Effective Dynamics from Conditional Expectations. <i>Entropy</i>.
    <a href="https://doi.org/10.3390/e23020134">https://doi.org/10.3390/e23020134</a>
  bibtex: '@article{Nüske_Koltai_Boninsegna_Clementi_2021, title={Spectral Properties
    of Effective Dynamics from Conditional Expectations}, DOI={<a href="https://doi.org/10.3390/e23020134">10.3390/e23020134</a>},
    number={134}, journal={Entropy}, author={Nüske, Feliks and Koltai, Péter and Boninsegna,
    Lorenzo and Clementi, Cecilia}, year={2021} }'
  chicago: Nüske, Feliks, Péter Koltai, Lorenzo Boninsegna, and Cecilia Clementi.
    “Spectral Properties of Effective Dynamics from Conditional Expectations.” <i>Entropy</i>,
    2021. <a href="https://doi.org/10.3390/e23020134">https://doi.org/10.3390/e23020134</a>.
  ieee: F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties
    of Effective Dynamics from Conditional Expectations,” <i>Entropy</i>, 2021.
  mla: Nüske, Feliks, et al. “Spectral Properties of Effective Dynamics from Conditional
    Expectations.” <i>Entropy</i>, 134, 2021, doi:<a href="https://doi.org/10.3390/e23020134">10.3390/e23020134</a>.
  short: F. Nüske, P. Koltai, L. Boninsegna, C. Clementi, Entropy (2021).
date_created: 2021-04-28T18:07:56Z
date_updated: 2022-01-06T06:55:16Z
department:
- _id: '101'
doi: 10.3390/e23020134
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.mdpi.com/1099-4300/23/2/134
oa: '1'
publication: Entropy
publication_identifier:
  issn:
  - 1099-4300
publication_status: published
status: public
title: Spectral Properties of Effective Dynamics from Conditional Expectations
type: journal_article
user_id: '81513'
year: '2021'
...
---
_id: '16867'
abstract:
- lang: eng
  text: "In this article, we present an efficient descent method for locally Lipschitz\r\ncontinuous
    multiobjective optimization problems (MOPs). The method is realized\r\nby combining
    a theoretical result regarding the computation of descent\r\ndirections for nonsmooth
    MOPs with a practical method to approximate the\r\nsubdifferentials of the objective
    functions. We show convergence to points\r\nwhich satisfy a necessary condition
    for Pareto optimality. Using a set of test\r\nproblems, we compare our method
    to the multiobjective proximal bundle method by\r\nM\\\"akel\\\"a. The results
    indicate that our method is competitive while being\r\neasier to implement. While
    the number of objective function evaluations is\r\nlarger, the overall number
    of subgradient evaluations is lower. Finally, we\r\nshow that our method can be
    combined with a subdivision algorithm to compute\r\nentire Pareto sets of nonsmooth
    MOPs."
author:
- first_name: Bennet
  full_name: Gebken, Bennet
  id: '32643'
  last_name: Gebken
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: 0000-0002-3389-793X
citation:
  ama: Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective
    optimization problems. <i>Journal of Optimization Theory and Applications</i>.
    2021;188:696-723. doi:<a href="https://doi.org/10.1007/s10957-020-01803-w">10.1007/s10957-020-01803-w</a>
  apa: Gebken, B., &#38; Peitz, S. (2021). An efficient descent method for locally
    Lipschitz multiobjective optimization problems. <i>Journal of Optimization Theory
    and Applications</i>, <i>188</i>, 696–723. <a href="https://doi.org/10.1007/s10957-020-01803-w">https://doi.org/10.1007/s10957-020-01803-w</a>
  bibtex: '@article{Gebken_Peitz_2021, title={An efficient descent method for locally
    Lipschitz multiobjective optimization problems}, volume={188}, DOI={<a href="https://doi.org/10.1007/s10957-020-01803-w">10.1007/s10957-020-01803-w</a>},
    journal={Journal of Optimization Theory and Applications}, author={Gebken, Bennet
    and Peitz, Sebastian}, year={2021}, pages={696–723} }'
  chicago: 'Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for
    Locally Lipschitz Multiobjective Optimization Problems.” <i>Journal of Optimization
    Theory and Applications</i> 188 (2021): 696–723. <a href="https://doi.org/10.1007/s10957-020-01803-w">https://doi.org/10.1007/s10957-020-01803-w</a>.'
  ieee: B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz
    multiobjective optimization problems,” <i>Journal of Optimization Theory and Applications</i>,
    vol. 188, pp. 696–723, 2021.
  mla: Gebken, Bennet, and Sebastian Peitz. “An Efficient Descent Method for Locally
    Lipschitz Multiobjective Optimization Problems.” <i>Journal of Optimization Theory
    and Applications</i>, vol. 188, 2021, pp. 696–723, doi:<a href="https://doi.org/10.1007/s10957-020-01803-w">10.1007/s10957-020-01803-w</a>.
  short: B. Gebken, S. Peitz, Journal of Optimization Theory and Applications 188
    (2021) 696–723.
date_created: 2020-04-27T09:11:22Z
date_updated: 2022-01-06T06:52:57Z
department:
- _id: '101'
doi: 10.1007/s10957-020-01803-w
intvolume: '       188'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/content/pdf/10.1007/s10957-020-01803-w.pdf
oa: '1'
page: 696-723
publication: Journal of Optimization Theory and Applications
publication_status: published
status: public
title: An efficient descent method for locally Lipschitz multiobjective optimization
  problems
type: journal_article
user_id: '47427'
volume: 188
year: '2021'
...
---
_id: '16295'
abstract:
- lang: eng
  text: It is a challenging task to identify the objectives on which a certain decision
    was based, in particular if several, potentially conflicting criteria are equally
    important and a continuous set of optimal compromise decisions exists. This task
    can be understood as the inverse problem of multiobjective optimization, where
    the goal is to find the objective function vector of a given Pareto set. To this
    end, we present a method to construct the objective function vector of an unconstrained
    multiobjective optimization problem (MOP) such that the Pareto critical set contains
    a given set of data points with prescribed KKT multipliers. If such an MOP can
    not be found, then the method instead produces an MOP whose Pareto critical set
    is at least close to the data points. The key idea is to consider the objective
    function vector in the multiobjective KKT conditions as variable and then search
    for the objectives that minimize the Euclidean norm of the resulting system of
    equations. By expressing the objectives in a finite-dimensional basis, we transform
    this problem into a homogeneous, linear system of equations that can be solved
    efficiently. Potential applications of this approach include the identification
    of objectives (both from clean and noisy data) and the construction of surrogate
    models for expensive MOPs.
author:
- first_name: Bennet
  full_name: Gebken, Bennet
  id: '32643'
  last_name: Gebken
- first_name: Sebastian
  full_name: Peitz, Sebastian
  id: '47427'
  last_name: Peitz
  orcid: https://orcid.org/0000-0002-3389-793X
citation:
  ama: 'Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision
    criteria from data. <i>Journal of Global Optimization</i>. 2021;80:3-29. doi:<a
    href="https://doi.org/10.1007/s10898-020-00983-z">10.1007/s10898-020-00983-z</a>'
  apa: 'Gebken, B., &#38; Peitz, S. (2021). Inverse multiobjective optimization: Inferring
    decision criteria from data. <i>Journal of Global Optimization</i>, <i>80</i>,
    3–29. <a href="https://doi.org/10.1007/s10898-020-00983-z">https://doi.org/10.1007/s10898-020-00983-z</a>'
  bibtex: '@article{Gebken_Peitz_2021, title={Inverse multiobjective optimization:
    Inferring decision criteria from data}, volume={80}, DOI={<a href="https://doi.org/10.1007/s10898-020-00983-z">10.1007/s10898-020-00983-z</a>},
    journal={Journal of Global Optimization}, publisher={Springer}, author={Gebken,
    Bennet and Peitz, Sebastian}, year={2021}, pages={3–29} }'
  chicago: 'Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization:
    Inferring Decision Criteria from Data.” <i>Journal of Global Optimization</i>
    80 (2021): 3–29. <a href="https://doi.org/10.1007/s10898-020-00983-z">https://doi.org/10.1007/s10898-020-00983-z</a>.'
  ieee: 'B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision
    criteria from data,” <i>Journal of Global Optimization</i>, vol. 80, pp. 3–29,
    2021.'
  mla: 'Gebken, Bennet, and Sebastian Peitz. “Inverse Multiobjective Optimization:
    Inferring Decision Criteria from Data.” <i>Journal of Global Optimization</i>,
    vol. 80, Springer, 2021, pp. 3–29, doi:<a href="https://doi.org/10.1007/s10898-020-00983-z">10.1007/s10898-020-00983-z</a>.'
  short: B. Gebken, S. Peitz, Journal of Global Optimization 80 (2021) 3–29.
date_created: 2020-03-13T12:45:05Z
date_updated: 2022-01-06T06:52:48Z
department:
- _id: '101'
doi: 10.1007/s10898-020-00983-z
intvolume: '        80'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://link.springer.com/content/pdf/10.1007/s10898-020-00983-z.pdf
oa: '1'
page: 3-29
publication: Journal of Global Optimization
publisher: Springer
status: public
title: 'Inverse multiobjective optimization: Inferring decision criteria from data'
type: journal_article
user_id: '47427'
volume: 80
year: '2021'
...