---
_id: '29424'
author:
- first_name: 'J. '
  full_name: 'Cresson, J. '
  last_name: Cresson
- first_name: F.
  full_name: Jiménez, F.
  last_name: Jiménez
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
citation:
  ama: 'Cresson J, Jiménez F, Ober-Blöbaum S. Modelling of the convection-diffusion
    equation through fractional restricted calculus of variations. In: <i>24th International
    Symposium on Mathematical Theory of Networks and Systems</i>. ; 2020.'
  apa: Cresson, J., Jiménez, F., &#38; Ober-Blöbaum, S. (2020). Modelling of the convection-diffusion
    equation through fractional restricted calculus of variations. <i>24th International
    Symposium on Mathematical Theory of Networks and Systems</i>.
  bibtex: '@inproceedings{Cresson_Jiménez_Ober-Blöbaum_2020, title={Modelling of the
    convection-diffusion equation through fractional restricted calculus of variations},
    booktitle={24th International Symposium on Mathematical Theory of Networks and
    Systems}, author={Cresson, J.  and Jiménez, F. and Ober-Blöbaum, Sina}, year={2020}
    }'
  chicago: Cresson, J. , F. Jiménez, and Sina Ober-Blöbaum. “Modelling of the Convection-Diffusion
    Equation through Fractional Restricted Calculus of Variations.” In <i>24th International
    Symposium on Mathematical Theory of Networks and Systems</i>, 2020.
  ieee: J. Cresson, F. Jiménez, and S. Ober-Blöbaum, “Modelling of the convection-diffusion
    equation through fractional restricted calculus of variations,” 2020.
  mla: Cresson, J., et al. “Modelling of the Convection-Diffusion Equation through
    Fractional Restricted Calculus of Variations.” <i>24th International Symposium
    on Mathematical Theory of Networks and Systems</i>, 2020.
  short: 'J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium
    on Mathematical Theory of Networks and Systems, 2020.'
date_created: 2022-01-18T14:45:22Z
date_updated: 2022-01-21T13:47:49Z
department:
- _id: '636'
language:
- iso: eng
publication: 24th International Symposium on Mathematical Theory of Networks and Systems
status: public
title: Modelling of the convection-diffusion equation through fractional restricted
  calculus of variations
type: conference
user_id: '15694'
year: '2020'
...
---
_id: '29545'
author:
- first_name: Frédéric
  full_name: Jean, Frédéric
  last_name: Jean
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Igor
  full_name: Zelenko, Igor
  last_name: Zelenko
citation:
  ama: Jean F, Maslovskaya S, Zelenko I. On Weyl’s type theorems and genericity of
    projective rigidity in sub-Riemannian geometry. <i>Geometriae Dedicata</i>. 2020;213(1):295-314.
    doi:<a href="https://doi.org/10.1007/s10711-020-00581-z">10.1007/s10711-020-00581-z</a>
  apa: Jean, F., Maslovskaya, S., &#38; Zelenko, I. (2020). On Weyl’s type theorems
    and genericity of projective rigidity in sub-Riemannian geometry. <i>Geometriae
    Dedicata</i>, <i>213</i>(1), 295–314. <a href="https://doi.org/10.1007/s10711-020-00581-z">https://doi.org/10.1007/s10711-020-00581-z</a>
  bibtex: '@article{Jean_Maslovskaya_Zelenko_2020, title={On Weyl’s type theorems
    and genericity of projective rigidity in sub-Riemannian geometry}, volume={213},
    DOI={<a href="https://doi.org/10.1007/s10711-020-00581-z">10.1007/s10711-020-00581-z</a>},
    number={1}, journal={Geometriae Dedicata}, publisher={Springer Science and Business
    Media LLC}, author={Jean, Frédéric and Maslovskaya, Sofya and Zelenko, Igor},
    year={2020}, pages={295–314} }'
  chicago: 'Jean, Frédéric, Sofya Maslovskaya, and Igor Zelenko. “On Weyl’s Type Theorems
    and Genericity of Projective Rigidity in Sub-Riemannian Geometry.” <i>Geometriae
    Dedicata</i> 213, no. 1 (2020): 295–314. <a href="https://doi.org/10.1007/s10711-020-00581-z">https://doi.org/10.1007/s10711-020-00581-z</a>.'
  ieee: 'F. Jean, S. Maslovskaya, and I. Zelenko, “On Weyl’s type theorems and genericity
    of projective rigidity in sub-Riemannian geometry,” <i>Geometriae Dedicata</i>,
    vol. 213, no. 1, pp. 295–314, 2020, doi: <a href="https://doi.org/10.1007/s10711-020-00581-z">10.1007/s10711-020-00581-z</a>.'
  mla: Jean, Frédéric, et al. “On Weyl’s Type Theorems and Genericity of Projective
    Rigidity in Sub-Riemannian Geometry.” <i>Geometriae Dedicata</i>, vol. 213, no.
    1, Springer Science and Business Media LLC, 2020, pp. 295–314, doi:<a href="https://doi.org/10.1007/s10711-020-00581-z">10.1007/s10711-020-00581-z</a>.
  short: F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
date_created: 2022-01-26T13:19:18Z
date_updated: 2022-01-26T13:19:39Z
department:
- _id: '636'
doi: 10.1007/s10711-020-00581-z
intvolume: '       213'
issue: '1'
keyword:
- Geometry and Topology
language:
- iso: eng
page: 295-314
publication: Geometriae Dedicata
publication_identifier:
  issn:
  - 0046-5755
  - 1572-9168
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian
  geometry
type: journal_article
user_id: '87909'
volume: 213
year: '2020'
...
---
_id: '29546'
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Jean-Baptiste
  full_name: Caillau, Jean-Baptiste
  last_name: Caillau
- first_name: Walid
  full_name: Djema, Walid
  last_name: Djema
- first_name: Laetitia
  full_name: Giraldi, Laetitia
  last_name: Giraldi
- first_name: Jean-Luc
  full_name: Jean-Luc, Jean-Luc
  last_name: Jean-Luc
- first_name: Jean-Baptiste
  full_name: Pomet, Jean-Baptiste
  last_name: Pomet
citation:
  ama: 'Maslovskaya S, Caillau J-B, Djema W, Giraldi L, Jean-Luc J-L, Pomet J-B. The
    turnpike property in maximization of microbial metabolite production. In: ; 2020.'
  apa: Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., &#38;
    Pomet, J.-B. (2020). <i>The turnpike property in maximization of microbial metabolite
    production</i>. IFAC 2020 - 21rst IFAC World Congress.
  bibtex: '@inproceedings{Maslovskaya_Caillau_Djema_Giraldi_Jean-Luc_Pomet_2020, title={The
    turnpike property in maximization of microbial metabolite production}, author={Maslovskaya,
    Sofya and Caillau, Jean-Baptiste and Djema, Walid and Giraldi, Laetitia and Jean-Luc,
    Jean-Luc and Pomet, Jean-Baptiste}, year={2020} }'
  chicago: Maslovskaya, Sofya, Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi,
    Jean-Luc Jean-Luc, and Jean-Baptiste Pomet. “The Turnpike Property in Maximization
    of Microbial Metabolite Production,” 2020.
  ieee: S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, and J.-B.
    Pomet, “The turnpike property in maximization of microbial metabolite production,”
    presented at the IFAC 2020 - 21rst IFAC World Congress, 2020.
  mla: Maslovskaya, Sofya, et al. <i>The Turnpike Property in Maximization of Microbial
    Metabolite Production</i>. 2020.
  short: 'S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B.
    Pomet, in: 2020.'
conference:
  name: IFAC 2020 - 21rst IFAC World Congress
date_created: 2022-01-26T13:26:36Z
date_updated: 2022-01-26T13:39:01Z
department:
- _id: '636'
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://hal.archives-ouvertes.fr/hal-02916081/document
oa: '1'
quality_controlled: '1'
status: public
title: The turnpike property in maximization of microbial metabolite production
type: conference_abstract
user_id: '87909'
year: '2020'
...
---
_id: '31264'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic
    manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne
    3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n
    \                 <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n
    \                 </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic
    flow on perpendicular one-forms at zero agrees with the first Betti number of
    the manifold. Additionally, we prove that this equality is stable under small
    perturbations of the Riemannian metric and simultaneous small perturbations of
    the geodesic vector field within the class of contact vector fields. For more
    general perturbations we get bounds on the multiplicity of the resonance zero
    on all one-forms in terms of the first and zeroth Betti numbers. Furthermore,
    we identify for hyperbolic manifolds further resonance spaces whose multiplicities
    are given by higher Betti numbers.\r\n</jats:p>"
author:
- first_name: Benjamin
  full_name: Küster, Benjamin
  last_name: Küster
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications
    in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>
  apa: Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti
    Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941.
    <a href="https://doi.org/10.1007/s00220-020-03793-2">https://doi.org/10.1007/s00220-020-03793-2</a>
  bibtex: '@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and
    Betti Numbers}, volume={378}, DOI={<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>},
    number={2}, journal={Communications in Mathematical Physics}, publisher={Springer
    Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias},
    year={2020}, pages={917–941} }'
  chicago: 'Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States
    and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020):
    917–41. <a href="https://doi.org/10.1007/s00220-020-03793-2">https://doi.org/10.1007/s00220-020-03793-2</a>.'
  ieee: 'B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,”
    <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020,
    doi: <a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>.'
  mla: Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti
    Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer
    Science and Business Media LLC, 2020, pp. 917–41, doi:<a href="https://doi.org/10.1007/s00220-020-03793-2">10.1007/s00220-020-03793-2</a>.
  short: B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.
date_created: 2022-05-17T12:06:06Z
date_updated: 2022-05-19T10:13:48Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: 10.1007/s00220-020-03793-2
intvolume: '       378'
issue: '2'
keyword:
- Mathematical Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 917-941
publication: Communications in Mathematical Physics
publication_identifier:
  issn:
  - 0010-3616
  - 1432-0916
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Pollicott-Ruelle Resonant States and Betti Numbers
type: journal_article
user_id: '49178'
volume: 378
year: '2020'
...
---
_id: '31372'
author:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
citation:
  ama: 'Hoffmann M. Schnittstellenaktivitäten zum Kongruenzsatz WSW. In: Siller H-S,
    Weigel W, Wörler JF, eds. <i>Beiträge zum Mathematikunterricht 2020</i>. WTM-Verlag;
    2020:1353-1356. doi:<a href="https://doi.org/10.17877/DE290R-21368">10.17877/DE290R-21368</a>'
  apa: Hoffmann, M. (2020). Schnittstellenaktivitäten zum Kongruenzsatz WSW. In H.-S.
    Siller, W. Weigel, &#38; J. F. Wörler (Eds.), <i>Beiträge zum Mathematikunterricht
    2020</i> (pp. 1353–1356). WTM-Verlag. <a href="https://doi.org/10.17877/DE290R-21368">https://doi.org/10.17877/DE290R-21368</a>
  bibtex: '@inproceedings{Hoffmann_2020, place={Münster}, title={Schnittstellenaktivitäten
    zum Kongruenzsatz WSW}, DOI={<a href="https://doi.org/10.17877/DE290R-21368">10.17877/DE290R-21368</a>},
    booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Hoffmann,
    Max}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan Franz},
    year={2020}, pages={1353–1356} }'
  chicago: 'Hoffmann, Max. “Schnittstellenaktivitäten zum Kongruenzsatz WSW.” In <i>Beiträge
    zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller, Wolfgang Weigel,
    and Jan Franz Wörler, 1353–56. Münster: WTM-Verlag, 2020. <a href="https://doi.org/10.17877/DE290R-21368">https://doi.org/10.17877/DE290R-21368</a>.'
  ieee: 'M. Hoffmann, “Schnittstellenaktivitäten zum Kongruenzsatz WSW,” in <i>Beiträge
    zum Mathematikunterricht 2020</i>, 2020, pp. 1353–1356, doi: <a href="https://doi.org/10.17877/DE290R-21368">10.17877/DE290R-21368</a>.'
  mla: Hoffmann, Max. “Schnittstellenaktivitäten zum Kongruenzsatz WSW.” <i>Beiträge
    zum Mathematikunterricht 2020</i>, edited by Hans-Stefan Siller et al., WTM-Verlag,
    2020, pp. 1353–56, doi:<a href="https://doi.org/10.17877/DE290R-21368">10.17877/DE290R-21368</a>.
  short: 'M. Hoffmann, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum
    Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1353–1356.'
date_created: 2022-05-22T14:41:16Z
date_updated: 2022-05-22T14:44:17Z
department:
- _id: '97'
doi: 10.17877/DE290R-21368
editor:
- first_name: Hans-Stefan
  full_name: Siller, Hans-Stefan
  last_name: Siller
- first_name: Wolfgang
  full_name: Weigel, Wolfgang
  last_name: Weigel
- first_name: Jan Franz
  full_name: Wörler, Jan Franz
  last_name: Wörler
language:
- iso: ger
main_file_link:
- open_access: '1'
  url: https://eldorado.tu-dortmund.de/handle/2003/39476
oa: '1'
page: 1353-1356
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publication_status: published
publisher: WTM-Verlag
status: public
title: Schnittstellenaktivitäten zum Kongruenzsatz WSW
type: conference
user_id: '32202'
year: '2020'
...
---
_id: '31386'
author:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
citation:
  ama: 'Hoffmann M. Rezension: Andrew Granville und Jenniver Granville: Prime Supects:
    The Anatomy of Integers and Permutations. <i>Mathematische Semesterberichte</i>.
    2020;67:119–121. doi:<a href="https://doi.org/10.1007/s00591-019-00269-w">10.1007/s00591-019-00269-w</a>'
  apa: 'Hoffmann, M. (2020). Rezension: Andrew Granville und Jenniver Granville: Prime
    Supects: The Anatomy of Integers and Permutations. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 119–121). <a href="https://doi.org/10.1007/s00591-019-00269-w">https://doi.org/10.1007/s00591-019-00269-w</a>'
  bibtex: '@article{Hoffmann_2020, title={Rezension: Andrew Granville und Jenniver
    Granville: Prime Supects: The Anatomy of Integers and Permutations}, volume={67},
    DOI={<a href="https://doi.org/10.1007/s00591-019-00269-w">10.1007/s00591-019-00269-w</a>},
    journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2020},
    pages={119–121} }'
  chicago: 'Hoffmann, Max. “Rezension: Andrew Granville und Jenniver Granville: Prime
    Supects: The Anatomy of Integers and Permutations.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-019-00269-w">https://doi.org/10.1007/s00591-019-00269-w</a>.'
  ieee: 'M. Hoffmann, “Rezension: Andrew Granville und Jenniver Granville: Prime Supects:
    The Anatomy of Integers and Permutations,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 119–121, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00269-w">10.1007/s00591-019-00269-w</a>.'
  mla: 'Hoffmann, Max. “Rezension: Andrew Granville und Jenniver Granville: Prime
    Supects: The Anatomy of Integers and Permutations.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 119–121, doi:<a href="https://doi.org/10.1007/s00591-019-00269-w">10.1007/s00591-019-00269-w</a>.'
  short: M. Hoffmann, Mathematische Semesterberichte 67 (2020) 119–121.
date_created: 2022-05-22T15:23:04Z
date_updated: 2022-05-22T15:58:26Z
department:
- _id: '97'
doi: 10.1007/s00591-019-00269-w
intvolume: '        67'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s00591-019-00269-w
page: 119–121
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Rezension: Andrew Granville und Jenniver Granville: Prime Supects: The Anatomy
  of Integers and Permutations'
type: review
user_id: '32202'
volume: 67
year: '2020'
...
---
_id: '31384'
author:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
citation:
  ama: 'Hoffmann M. Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher
    über Möbius zu Penrose. <i>Mathematische Semesterberichte</i>. 2020;67:115–116.
    doi:<a href="https://doi.org/10.1007/s00591-019-00264-1">10.1007/s00591-019-00264-1</a>'
  apa: 'Hoffmann, M. (2020). Rezension: Ehrhard Behrends: Parkettierungen der Ebene
    – Von Escher über Möbius zu Penrose. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 115–116). <a href="https://doi.org/10.1007/s00591-019-00264-1">https://doi.org/10.1007/s00591-019-00264-1</a>'
  bibtex: '@article{Hoffmann_2020, title={Rezension: Ehrhard Behrends: Parkettierungen
    der Ebene – Von Escher über Möbius zu Penrose}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-019-00264-1">10.1007/s00591-019-00264-1</a>},
    journal={Mathematische Semesterberichte}, author={Hoffmann, Max}, year={2020},
    pages={115–116} }'
  chicago: 'Hoffmann, Max. “Rezension: Ehrhard Behrends: Parkettierungen der Ebene
    – Von Escher über Möbius zu Penrose.” <i>Mathematische Semesterberichte</i>, 2020.
    <a href="https://doi.org/10.1007/s00591-019-00264-1">https://doi.org/10.1007/s00591-019-00264-1</a>.'
  ieee: 'M. Hoffmann, “Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von
    Escher über Möbius zu Penrose,” <i>Mathematische Semesterberichte</i>, vol. 67.
    pp. 115–116, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00264-1">10.1007/s00591-019-00264-1</a>.'
  mla: 'Hoffmann, Max. “Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von
    Escher über Möbius zu Penrose.” <i>Mathematische Semesterberichte</i>, vol. 67,
    2020, pp. 115–116, doi:<a href="https://doi.org/10.1007/s00591-019-00264-1">10.1007/s00591-019-00264-1</a>.'
  short: M. Hoffmann, Mathematische Semesterberichte 67 (2020) 115–116.
date_created: 2022-05-22T15:18:37Z
date_updated: 2022-05-22T15:58:39Z
department:
- _id: '97'
doi: 10.1007/s00591-019-00264-1
intvolume: '        67'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/article/10.1007/s00591-019-00264-1
page: 115–116
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Rezension: Ehrhard Behrends: Parkettierungen der Ebene – Von Escher über Möbius
  zu Penrose'
type: review
user_id: '32202'
volume: 67
year: '2020'
...
---
_id: '31381'
citation:
  ama: 'Hoffmann M, ed. <i>Der Mathematikunterricht 66 (6): Geometrie in Schule und
    Lehramtsausbildung – ein Nachwuchsheft</i>.; 2020.'
  apa: 'Hoffmann, M. (Ed.). (2020). <i>Der Mathematikunterricht 66 (6): Geometrie
    in Schule und Lehramtsausbildung – ein Nachwuchsheft</i>.'
  bibtex: '@book{Hoffmann_2020, title={Der Mathematikunterricht 66 (6): Geometrie
    in Schule und Lehramtsausbildung – ein Nachwuchsheft}, year={2020} }'
  chicago: 'Hoffmann, Max, ed. <i>Der Mathematikunterricht 66 (6): Geometrie in Schule
    und Lehramtsausbildung – ein Nachwuchsheft</i>, 2020.'
  ieee: 'M. Hoffmann, Ed., <i>Der Mathematikunterricht 66 (6): Geometrie in Schule
    und Lehramtsausbildung – ein Nachwuchsheft</i>. 2020.'
  mla: 'Hoffmann, Max, editor. <i>Der Mathematikunterricht 66 (6): Geometrie in Schule
    und Lehramtsausbildung – ein Nachwuchsheft</i>. 2020.'
  short: 'M. Hoffmann, ed., Der Mathematikunterricht 66 (6): Geometrie in Schule und
    Lehramtsausbildung – ein Nachwuchsheft, 2020.'
date_created: 2022-05-22T15:08:51Z
date_updated: 2022-05-22T16:00:26Z
department:
- _id: '97'
editor:
- first_name: Max
  full_name: Hoffmann, Max
  id: '32202'
  last_name: Hoffmann
language:
- iso: ger
publication_status: published
related_material:
  link:
  - relation: table_of_contents
    url: https://www.friedrich-verlag.de/shop/geometrie-in-schule-und-lehramtsausbildung-ein-nachwuchsheft-524216
status: public
title: 'Der Mathematikunterricht 66 (6): Geometrie in Schule und Lehramtsausbildung
  – ein Nachwuchsheft'
type: book_editor
user_id: '32202'
year: '2020'
...
---
_id: '31551'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: Marcus
  full_name: Nührenbörger, Marcus
  last_name: Nührenbörger
citation:
  ama: 'Häsel-Weide U, Nührenbörger M. Tragfähige Grundlagen. In: Hecker U, Lassek
    M, Ramseger J, eds. <i>Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen</i>.
    Vol Band 150. 1st ed. Kinder lernen Zukunft. Grundschulverband; 2020:108-118.'
  apa: 'Häsel-Weide, U., &#38; Nührenbörger, M. (2020). Tragfähige Grundlagen. In
    U. Hecker, M. Lassek, &#38; J. Ramseger (Eds.), <i>Kinder lernen Zukunft – Anforderungen
    und tragfähige Grundlagen: Vol. Band 150</i> (1st ed., pp. 108–118). Grundschulverband.'
  bibtex: '@inbook{Häsel-Weide_Nührenbörger_2020, place={Frankfurt a. M.}, edition={1},
    series={Kinder lernen Zukunft}, title={Tragfähige Grundlagen}, volume={Band 150},
    booktitle={Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen}, publisher={Grundschulverband},
    author={Häsel-Weide, Uta and Nührenbörger, Marcus}, editor={Hecker, Ulrich and
    Lassek, Maresi and Ramseger, Jörg}, year={2020}, pages={108–118}, collection={Kinder
    lernen Zukunft} }'
  chicago: 'Häsel-Weide, Uta, and Marcus Nührenbörger. “Tragfähige Grundlagen.” In
    <i>Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen</i>, edited
    by Ulrich Hecker, Maresi Lassek, and Jörg Ramseger, 1st ed., Band 150:108–18.
    Kinder lernen Zukunft. Frankfurt a. M.: Grundschulverband, 2020.'
  ieee: 'U. Häsel-Weide and M. Nührenbörger, “Tragfähige Grundlagen,” in <i>Kinder
    lernen Zukunft – Anforderungen und tragfähige Grundlagen</i>, 1st ed., vol. Band
    150, U. Hecker, M. Lassek, and J. Ramseger, Eds. Frankfurt a. M.: Grundschulverband,
    2020, pp. 108–118.'
  mla: Häsel-Weide, Uta, and Marcus Nührenbörger. “Tragfähige Grundlagen.” <i>Kinder
    lernen Zukunft – Anforderungen und tragfähige Grundlagen</i>, edited by Ulrich
    Hecker et al., 1st ed., vol. Band 150, Grundschulverband, 2020, pp. 108–18.
  short: 'U. Häsel-Weide, M. Nührenbörger, in: U. Hecker, M. Lassek, J. Ramseger (Eds.),
    Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen, 1st ed., Grundschulverband,
    Frankfurt a. M., 2020, pp. 108–118.'
date_created: 2022-05-31T07:57:21Z
date_updated: 2022-05-31T09:07:26Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: Ulrich
  full_name: Hecker, Ulrich
  last_name: Hecker
- first_name: Maresi
  full_name: Lassek, Maresi
  last_name: Lassek
- first_name: Jörg
  full_name: Ramseger, Jörg
  last_name: Ramseger
language:
- iso: ger
page: 108-118
place: Frankfurt a. M.
publication: Kinder lernen Zukunft – Anforderungen und tragfähige Grundlagen
publication_identifier:
  unknown:
  - 978-3-941649-28-6
publication_status: published
publisher: Grundschulverband
related_material:
  link:
  - relation: table_of_contents
    url: https://grundschulverband.de/wp-content/uploads/2020/07/200706neu_GSV_B150-Appetizer.pdf
series_title: Kinder lernen Zukunft
status: public
title: Tragfähige Grundlagen
type: book_chapter
user_id: '85821'
volume: Band 150
year: '2020'
...
---
_id: '31552'
author:
- first_name: Lara
  full_name: Heckmann, Lara
  last_name: Heckmann
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: 'Heckmann L, Häsel-Weide U. Aufgaben für den inklusiven Mathematikunterricht
    - aus der Sicht von Lehrkräften. In: Siller H-S, Weigel W, Wörler JF, eds. <i>Beiträge
    zum Mathematikunterricht 2020</i>. WTM Verlag; 2020:393-396.'
  apa: Heckmann, L., &#38; Häsel-Weide, U. (2020). Aufgaben für den inklusiven Mathematikunterricht
    - aus der Sicht von Lehrkräften. In H.-S. Siller, W. Weigel, &#38; J. F. Wörler
    (Eds.), <i>Beiträge zum Mathematikunterricht 2020</i> (pp. 393–396). WTM Verlag.
  bibtex: '@inbook{Heckmann_Häsel-Weide_2020, place={Münster}, title={Aufgaben für
    den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.}, booktitle={Beiträge
    zum Mathematikunterricht 2020}, publisher={WTM Verlag}, author={Heckmann, Lara
    and Häsel-Weide, Uta}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler,
    Jan Franz}, year={2020}, pages={393–396} }'
  chicago: 'Heckmann, Lara, and Uta Häsel-Weide. “Aufgaben für den inklusiven Mathematikunterricht
    - aus der Sicht von Lehrkräften.” In <i>Beiträge zum Mathematikunterricht 2020</i>,
    edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Franz Wörler, 393–96. Münster:
    WTM Verlag, 2020.'
  ieee: 'L. Heckmann and U. Häsel-Weide, “Aufgaben für den inklusiven Mathematikunterricht
    - aus der Sicht von Lehrkräften.,” in <i>Beiträge zum Mathematikunterricht 2020</i>,
    H.-S. Siller, W. Weigel, and J. F. Wörler, Eds. Münster: WTM Verlag, 2020, pp.
    393–396.'
  mla: Heckmann, Lara, and Uta Häsel-Weide. “Aufgaben für den inklusiven Mathematikunterricht
    - aus der Sicht von Lehrkräften.” <i>Beiträge zum Mathematikunterricht 2020</i>,
    edited by Hans-Stefan Siller et al., WTM Verlag, 2020, pp. 393–96.
  short: 'L. Heckmann, U. Häsel-Weide, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.),
    Beiträge zum Mathematikunterricht 2020, WTM Verlag, Münster, 2020, pp. 393–396.'
date_created: 2022-05-31T08:04:02Z
date_updated: 2022-05-31T09:06:05Z
department:
- _id: '98'
- _id: '543'
editor:
- first_name: Hans-Stefan
  full_name: Siller, Hans-Stefan
  last_name: Siller
- first_name: Wolfgang
  full_name: Weigel, Wolfgang
  last_name: Weigel
- first_name: Jan Franz
  full_name: Wörler, Jan Franz
  last_name: Wörler
language:
- iso: ger
page: 393-396
place: Münster
publication: Beiträge zum Mathematikunterricht 2020
publication_identifier:
  isbn:
  - 978-3-95987-139-6
publication_status: published
publisher: WTM Verlag
related_material:
  link:
  - relation: table_of_contents
    url: https://wtm-verlag.de/BzMU_Download/Inhaltsverzeichnis_BzMU_2020.pdf
status: public
title: Aufgaben für den inklusiven Mathematikunterricht - aus der Sicht von Lehrkräften.
type: book_chapter
user_id: '85821'
year: '2020'
...
---
_id: '31549'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: 'Häsel-Weide U. Sachrechnen. In: Heimlich U, Wember FB, eds. <i>Didaktik des
    Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis</i>.
    4th ed. W. Kohlhammer GmbH; 2020:308-318.'
  apa: 'Häsel-Weide, U. (2020). Sachrechnen. In U. Heimlich &#38; F. B. Wember (Eds.),
    <i>Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium
    und Praxis</i> (4th ed., pp. 308–318). W. Kohlhammer GmbH.'
  bibtex: '@inbook{Häsel-Weide_2020, edition={4}, title={Sachrechnen}, booktitle={Didaktik
    des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis},
    publisher={W. Kohlhammer GmbH}, author={Häsel-Weide, Uta}, editor={Heimlich, Ulrich
    and Wember, Franz B.}, year={2020}, pages={308–318} }'
  chicago: 'Häsel-Weide, Uta. “Sachrechnen.” In <i>Didaktik des Unterrichts bei Lernschwierigkeiten:
    Ein Handbuch für Studium und Praxis</i>, edited by Ulrich Heimlich and Franz B.
    Wember, 4th ed., 308–18. W. Kohlhammer GmbH, 2020.'
  ieee: 'U. Häsel-Weide, “Sachrechnen,” in <i>Didaktik des Unterrichts bei Lernschwierigkeiten:
    Ein Handbuch für Studium und Praxis</i>, 4th ed., U. Heimlich and F. B. Wember,
    Eds. W. Kohlhammer GmbH, 2020, pp. 308–318.'
  mla: 'Häsel-Weide, Uta. “Sachrechnen.” <i>Didaktik des Unterrichts bei Lernschwierigkeiten:
    Ein Handbuch für Studium und Praxis</i>, edited by Ulrich Heimlich and Franz B.
    Wember, 4th ed., W. Kohlhammer GmbH, 2020, pp. 308–18.'
  short: 'U. Häsel-Weide, in: U. Heimlich, F.B. Wember (Eds.), Didaktik des Unterrichts
    bei Lernschwierigkeiten: Ein Handbuch für Studium und Praxis, 4th ed., W. Kohlhammer
    GmbH, 2020, pp. 308–318.'
date_created: 2022-05-31T07:35:20Z
date_updated: 2022-05-31T09:08:39Z
department:
- _id: '98'
- _id: '543'
edition: '4'
editor:
- first_name: Ulrich
  full_name: Heimlich, Ulrich
  last_name: Heimlich
- first_name: Franz B.
  full_name: Wember, Franz B.
  last_name: Wember
language:
- iso: ger
page: 308-318
publication: 'Didaktik des Unterrichts bei Lernschwierigkeiten: Ein Handbuch für Studium
  und Praxis'
publication_identifier:
  isbn:
  - 978-3170355699
publication_status: published
publisher: W. Kohlhammer GmbH
related_material:
  link:
  - relation: other
    url: https://shop.kohlhammer.de/didaktik-des-unterrichts-bei-lernschwierigkeiten-35569.html?gclid=Cj0KCQjw-daUBhCIARIsALbkjSa_QmYACcZiORxbLaSIkKyqxJ4Xr9NcKPoHpFOHNoOt3pmqy_SVn-0aApROEALw_wcB#147=23
status: public
title: Sachrechnen
type: book_chapter
user_id: '85821'
year: '2020'
...
---
_id: '31550'
author:
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
citation:
  ama: 'Häsel-Weide U. Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
    Qualifizierung für das Lehren von Mathematik in der Grundschule. In: Cramer C,
    König J, Rothland M, Blömeke S, eds. <i>Handbuch Lehrerinnen- und Lehrerbildung</i>.
    1st ed. Julius Klinkhardt; 2020:462-469.'
  apa: Häsel-Weide, U. (2020). Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
    Qualifizierung für das Lehren von Mathematik in der Grundschule. In C. Cramer,
    J. König, M. Rothland, &#38; S. Blömeke (Eds.), <i>Handbuch Lehrerinnen- und Lehrerbildung</i>
    (1st ed., pp. 462–469). Julius Klinkhardt.
  bibtex: '@inbook{Häsel-Weide_2020, place={Bad Heilbrunn}, edition={1}, title={Mathematik
    (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung für das Lehren
    von Mathematik in der Grundschule.}, booktitle={Handbuch Lehrerinnen- und Lehrerbildung},
    publisher={Julius Klinkhardt}, author={Häsel-Weide, Uta}, editor={Cramer, Colin
    and König, Johannes and Rothland, Martin and Blömeke, Sigrid}, year={2020}, pages={462–469}
    }'
  chicago: 'Häsel-Weide, Uta. “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
    Qualifizierung für das Lehren von Mathematik in der Grundschule.” In <i>Handbuch
    Lehrerinnen- und Lehrerbildung</i>, edited by Colin Cramer, Johannes König, Martin
    Rothland, and Sigrid Blömeke, 1st ed., 462–69. Bad Heilbrunn: Julius Klinkhardt,
    2020.'
  ieee: 'U. Häsel-Weide, “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
    Qualifizierung für das Lehren von Mathematik in der Grundschule.,” in <i>Handbuch
    Lehrerinnen- und Lehrerbildung</i>, 1st ed., C. Cramer, J. König, M. Rothland,
    and S. Blömeke, Eds. Bad Heilbrunn: Julius Klinkhardt, 2020, pp. 462–469.'
  mla: Häsel-Weide, Uta. “Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung.
    Qualifizierung für das Lehren von Mathematik in der Grundschule.” <i>Handbuch
    Lehrerinnen- und Lehrerbildung</i>, edited by Colin Cramer et al., 1st ed., Julius
    Klinkhardt, 2020, pp. 462–69.
  short: 'U. Häsel-Weide, in: C. Cramer, J. König, M. Rothland, S. Blömeke (Eds.),
    Handbuch Lehrerinnen- und Lehrerbildung, 1st ed., Julius Klinkhardt, Bad Heilbrunn,
    2020, pp. 462–469.'
date_created: 2022-05-31T07:41:32Z
date_updated: 2022-06-01T08:51:05Z
department:
- _id: '98'
- _id: '543'
edition: '1'
editor:
- first_name: Colin
  full_name: Cramer, Colin
  last_name: Cramer
- first_name: Johannes
  full_name: König, Johannes
  last_name: König
- first_name: Martin
  full_name: Rothland, Martin
  last_name: Rothland
- first_name: Sigrid
  full_name: Blömeke, Sigrid
  last_name: Blömeke
language:
- iso: ger
page: 462-469
place: Bad Heilbrunn
publication: Handbuch Lehrerinnen- und Lehrerbildung
publication_identifier:
  isbn:
  - 978-3-8252-5473-5
publication_status: published
publisher: Julius Klinkhardt
related_material:
  link:
  - relation: other
    url: https://www.handbuch-lehrerbildung.net/
status: public
title: Mathematik (Primarstufe) in der Lehrerinnen- und Lehrerbildung. Qualifizierung
  für das Lehren von Mathematik in der Grundschule.
type: book_chapter
user_id: '60267'
year: '2020'
...
---
_id: '33273'
abstract:
- lang: ger
  text: "Dieses Lernangebot widmet sich der linearen Algebra als dem Teil der Mathematik,
    der neben der Optimierung und der Stochastik die Grundlage für praktisch alle
    Entwicklungen im Bereich Künstliche Intelligenz (KI) darstellt. Das Fach ist jedoch
    für Anfänger meist ungewohnt abstrakt und wird daher oft als besonders schwierig
    und unanschaulich empfunden. In diesem Kurs wird das Erlernen mathematischer Kenntnisse
    in linearer Algebra verknüpft mit dem aktuellen und faszinierenden Anwendungsfeld
    der künstlichen neuronalen Netze (KNN). Daraus ergeben sich in natürlicher Weise
    Anwendungsbeispiele, an denen die wesentlichen Konzepte der linearen Algebra erklärt
    werden können.\r\n\r\nBehandelte Themen sind:\r\n\r\n    Der Vektorraum der reellen
    Zahlentupel, reelle Vektorräume allgemein\r\n    Lineare Abbildungen\r\n    Matrizen\r\n
    \   Koordinaten und darstellende Matrizen\r\n    Lineare Gleichungssysteme, Gaußalgorithmus\r\n
    \   Determinante\r\n    Ein Ausblick auf nichtlineare Techniken, die für neuronale
    Netzwerke relevant sind."
author:
- first_name: Thomas
  full_name: Schramm, Thomas
  last_name: Schramm
- first_name: Ingenuin
  full_name: Gasser, Ingenuin
  last_name: Gasser
- first_name: Sören
  full_name: Schwenker, Sören
  id: '97359'
  last_name: Schwenker
  orcid: 0000-0002-8054-2058
- first_name: Ruedi
  full_name: Seiler, Ruedi
  last_name: Seiler
- first_name: Alexander
  full_name: Lohse, Alexander
  last_name: Lohse
- first_name: Kay
  full_name: Zobel, Kay
  last_name: Zobel
citation:
  ama: Schramm T, Gasser I, Schwenker S, Seiler R, Lohse A, Zobel K. <i>Linear Algebra
    Driven by Data Science</i>. Hamburg Open Online University; 2020.
  apa: Schramm, T., Gasser, I., Schwenker, S., Seiler, R., Lohse, A., &#38; Zobel,
    K. (2020). <i>Linear Algebra driven by Data Science</i>. Hamburg Open Online University.
  bibtex: '@book{Schramm_Gasser_Schwenker_Seiler_Lohse_Zobel_2020, title={Linear Algebra
    driven by Data Science}, publisher={Hamburg Open Online University}, author={Schramm,
    Thomas and Gasser, Ingenuin and Schwenker, Sören and Seiler, Ruedi and Lohse,
    Alexander and Zobel, Kay}, year={2020} }'
  chicago: Schramm, Thomas, Ingenuin Gasser, Sören Schwenker, Ruedi Seiler, Alexander
    Lohse, and Kay Zobel. <i>Linear Algebra Driven by Data Science</i>. Hamburg Open
    Online University, 2020.
  ieee: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, and K. Zobel, <i>Linear
    Algebra driven by Data Science</i>. Hamburg Open Online University, 2020.
  mla: Schramm, Thomas, et al. <i>Linear Algebra Driven by Data Science</i>. Hamburg
    Open Online University, 2020.
  short: T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear
    Algebra Driven by Data Science, Hamburg Open Online University, 2020.
date_created: 2022-09-06T12:06:41Z
date_updated: 2022-09-06T14:05:13Z
department:
- _id: '94'
extern: '1'
language:
- iso: eng
main_file_link:
- url: https://www.hoou.de/projects/linear-algebra-driven-by-data-science/
publisher: Hamburg Open Online University
status: public
title: Linear Algebra driven by Data Science
type: misc
user_id: '97359'
year: '2020'
...
---
_id: '33282'
abstract:
- lang: eng
  text: "We derive a criterium for the almost sure finiteness of perpetual integrals
    of L ́evy\r\nprocesses for a class of real functions including all continuous
    functions and for general one-\r\ndimensional L ́evy processes that drifts to
    plus infinity. This generalizes previous work of D ̈oring\r\nand Kyprianou, who
    considered L ́evy processes having a local time, leaving the general case as an\r\nopen
    problem. It turns out, that the criterium in the general situation simplifies
    significantly in\r\nthe situation, where the process has a local time, but we
    also demonstrate that in general our cri-\r\nterium can not be reduced. This answers
    an open problem posed in D ̈oring, L. and Kyprianou, A.\r\n(2015)."
author:
- first_name: Martin
  full_name: Kolb, Martin
  id: '48880'
  last_name: Kolb
- first_name: Mladen
  full_name: Savov, Mladen
  last_name: Savov
citation:
  ama: Kolb M, Savov M. A Characterization of the Finiteness of Perpetual Integrals
    of Levy Processes. <i>Bernoulli</i>. 2020;26(2):1453-1472. doi:<a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>
  apa: Kolb, M., &#38; Savov, M. (2020). A Characterization of the Finiteness of Perpetual
    Integrals of Levy Processes. <i>Bernoulli</i>, <i>26</i>(2), 1453–1472. <a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>
  bibtex: '@article{Kolb_Savov_2020, title={A Characterization of the Finiteness of
    Perpetual Integrals of Levy Processes}, volume={26}, DOI={<a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>},
    number={2}, journal={Bernoulli}, publisher={Bernoulli Society for Mathematical
    Statistics and Probability}, author={Kolb, Martin and Savov, Mladen}, year={2020},
    pages={1453–1472} }'
  chicago: 'Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness
    of Perpetual Integrals of Levy Processes.” <i>Bernoulli</i> 26, no. 2 (2020):
    1453–72. <a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>.'
  ieee: 'M. Kolb and M. Savov, “A Characterization of the Finiteness of Perpetual
    Integrals of Levy Processes,” <i>Bernoulli</i>, vol. 26, no. 2, pp. 1453–1472,
    2020, doi: <a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>.'
  mla: Kolb, Martin, and Mladen Savov. “A Characterization of the Finiteness of Perpetual
    Integrals of Levy Processes.” <i>Bernoulli</i>, vol. 26, no. 2, Bernoulli Society
    for Mathematical Statistics and Probability, 2020, pp. 1453–72, doi:<a href="https://doi.org/10.48550/arXiv.1903.03792">https://doi.org/10.48550/arXiv.1903.03792</a>.
  short: M. Kolb, M. Savov, Bernoulli 26 (2020) 1453–1472.
date_created: 2022-09-08T06:36:37Z
date_updated: 2022-09-08T06:48:40Z
department:
- _id: '96'
doi: https://doi.org/10.48550/arXiv.1903.03792
intvolume: '        26'
issue: '2'
keyword:
- L ́evy processes
- Perpetual integrals
- Potential measures
language:
- iso: eng
page: 1453-1472
publication: Bernoulli
publication_status: published
publisher: Bernoulli Society for Mathematical Statistics and Probability
status: public
title: A Characterization of the Finiteness of Perpetual Integrals of Levy Processes
type: journal_article
user_id: '85821'
volume: 26
year: '2020'
...
---
_id: '33330'
abstract:
- lang: eng
  text: 'Reciprocal relations are binary relations Q with entries Q(i,j)∈[0,1], and
    such that Q(i,j)+Q(j,i)=1. Relations of this kind occur quite naturally in various
    domains, such as preference modeling and preference learning. For example, Q(i,j)
    could be the fraction of voters in a population who prefer candidate i to candidate
    j. In the literature, various attempts have been made at generalizing the notion
    of transitivity to reciprocal relations. In this paper, we compare three important
    frameworks of generalized transitivity: g-stochastic transitivity, T-transitivity,
    and cycle-transitivity. To this end, we introduce E-transitivity as an even more
    general notion. We also use this framework to extend an existing hierarchy of
    different types of transitivity. As an illustration, we study transitivity properties
    of probabilities of pairwise preferences, which are induced as marginals of an
    underlying probability distribution on rankings (strict total orders) of a set
    of alternatives. In particular, we analyze the interesting case of the so-called
    Babington Smith model, a parametric family of distributions of that kind.'
author:
- first_name: Björn
  full_name: Haddenhorst, Björn
  last_name: Haddenhorst
- first_name: Eyke
  full_name: Hüllermeier, Eyke
  last_name: Hüllermeier
- first_name: Martin
  full_name: Kolb, Martin
  id: '48880'
  last_name: Kolb
citation:
  ama: 'Haddenhorst B, Hüllermeier E, Kolb M. Generalized transitivity: A systematic
    comparison of concepts with an application to preferences in the Babington Smith
    model. <i>International Journal of Approximate Reasoning</i>. 2020;119(2):373-407.
    doi:<a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>'
  apa: 'Haddenhorst, B., Hüllermeier, E., &#38; Kolb, M. (2020). Generalized transitivity:
    A systematic comparison of concepts with an application to preferences in the
    Babington Smith model. <i>International Journal of Approximate Reasoning</i>,
    <i>119</i>(2), 373–407. <a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>'
  bibtex: '@article{Haddenhorst_Hüllermeier_Kolb_2020, title={Generalized transitivity:
    A systematic comparison of concepts with an application to preferences in the
    Babington Smith model}, volume={119}, DOI={<a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>},
    number={2}, journal={International Journal of Approximate Reasoning}, publisher={Elsevier},
    author={Haddenhorst, Björn and Hüllermeier, Eyke and Kolb, Martin}, year={2020},
    pages={373–407} }'
  chicago: 'Haddenhorst, Björn, Eyke Hüllermeier, and Martin Kolb. “Generalized Transitivity:
    A Systematic Comparison of Concepts with an Application to Preferences in the
    Babington Smith Model.” <i>International Journal of Approximate Reasoning</i>
    119, no. 2 (2020): 373–407. <a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>.'
  ieee: 'B. Haddenhorst, E. Hüllermeier, and M. Kolb, “Generalized transitivity: A
    systematic comparison of concepts with an application to preferences in the Babington
    Smith model,” <i>International Journal of Approximate Reasoning</i>, vol. 119,
    no. 2, pp. 373–407, 2020, doi: <a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>.'
  mla: 'Haddenhorst, Björn, et al. “Generalized Transitivity: A Systematic Comparison
    of Concepts with an Application to Preferences in the Babington Smith Model.”
    <i>International Journal of Approximate Reasoning</i>, vol. 119, no. 2, Elsevier,
    2020, pp. 373–407, doi:<a href="https://doi.org/10.1016/j.ijar.2020.01.007">https://doi.org/10.1016/j.ijar.2020.01.007</a>.'
  short: B. Haddenhorst, E. Hüllermeier, M. Kolb, International Journal of Approximate
    Reasoning 119 (2020) 373–407.
date_created: 2022-09-12T07:13:19Z
date_updated: 2022-09-12T07:13:30Z
department:
- _id: '96'
doi: https://doi.org/10.1016/j.ijar.2020.01.007
intvolume: '       119'
issue: '2'
language:
- iso: eng
page: 373-407
publication: International Journal of Approximate Reasoning
publication_status: published
publisher: Elsevier
status: public
title: 'Generalized transitivity: A systematic comparison of concepts with an application
  to preferences in the Babington Smith model'
type: journal_article
user_id: '85821'
volume: 119
year: '2020'
...
---
_id: '34828'
article_type: original
author:
- first_name: Maximilian
  full_name: Hanusch, Maximilian
  id: '30905'
  last_name: Hanusch
citation:
  ama: Hanusch M. The regularity problem for Lie groups with asymptotic estimate Lie
    algebras. <i>Indagationes Mathematicae</i>. 2020;31(1):152-176. doi:<a href="https://doi.org/10.1016/j.indag.2019.12.001">10.1016/j.indag.2019.12.001</a>
  apa: Hanusch, M. (2020). The regularity problem for Lie groups with asymptotic estimate
    Lie algebras. <i>Indagationes Mathematicae</i>, <i>31</i>(1), 152–176. <a href="https://doi.org/10.1016/j.indag.2019.12.001">https://doi.org/10.1016/j.indag.2019.12.001</a>
  bibtex: '@article{Hanusch_2020, title={The regularity problem for Lie groups with
    asymptotic estimate Lie algebras}, volume={31}, DOI={<a href="https://doi.org/10.1016/j.indag.2019.12.001">10.1016/j.indag.2019.12.001</a>},
    number={1}, journal={Indagationes Mathematicae}, publisher={Elsevier BV}, author={Hanusch,
    Maximilian}, year={2020}, pages={152–176} }'
  chicago: 'Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic
    Estimate Lie Algebras.” <i>Indagationes Mathematicae</i> 31, no. 1 (2020): 152–76.
    <a href="https://doi.org/10.1016/j.indag.2019.12.001">https://doi.org/10.1016/j.indag.2019.12.001</a>.'
  ieee: 'M. Hanusch, “The regularity problem for Lie groups with asymptotic estimate
    Lie algebras,” <i>Indagationes Mathematicae</i>, vol. 31, no. 1, pp. 152–176,
    2020, doi: <a href="https://doi.org/10.1016/j.indag.2019.12.001">10.1016/j.indag.2019.12.001</a>.'
  mla: Hanusch, Maximilian. “The Regularity Problem for Lie Groups with Asymptotic
    Estimate Lie Algebras.” <i>Indagationes Mathematicae</i>, vol. 31, no. 1, Elsevier
    BV, 2020, pp. 152–76, doi:<a href="https://doi.org/10.1016/j.indag.2019.12.001">10.1016/j.indag.2019.12.001</a>.
  short: M. Hanusch, Indagationes Mathematicae 31 (2020) 152–176.
date_created: 2022-12-22T09:37:04Z
date_updated: 2023-01-09T18:07:34Z
department:
- _id: '93'
doi: 10.1016/j.indag.2019.12.001
extern: '1'
intvolume: '        31'
issue: '1'
keyword:
- regularity of Lie groups
language:
- iso: eng
page: 152-176
publication: Indagationes Mathematicae
publication_identifier:
  issn:
  - 0019-3577
publication_status: published
publisher: Elsevier BV
status: public
title: The regularity problem for Lie groups with asymptotic estimate Lie algebras
type: journal_article
user_id: '30905'
volume: 31
year: '2020'
...
---
_id: '34830'
article_type: original
author:
- first_name: Maximilian
  full_name: Hanusch, Maximilian
  id: '30905'
  last_name: Hanusch
citation:
  ama: Hanusch M. The Strong Trotter Property for Locally μ-convex Lie Groups. <i>Journal
    of Lie Theory</i>. 2020;30(1):025-032.
  apa: Hanusch, M. (2020). The Strong Trotter Property for Locally μ-convex Lie Groups.
    <i>Journal of Lie Theory</i>, <i>30</i>(1), 025–032.
  bibtex: '@article{Hanusch_2020, title={The Strong Trotter Property for Locally μ-convex
    Lie Groups}, volume={30}, number={1}, journal={Journal of Lie Theory}, publisher={Heldermann
    Verlag}, author={Hanusch, Maximilian}, year={2020}, pages={025–032} }'
  chicago: 'Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex
    Lie Groups.” <i>Journal of Lie Theory</i> 30, no. 1 (2020): 025–032.'
  ieee: M. Hanusch, “The Strong Trotter Property for Locally μ-convex Lie Groups,”
    <i>Journal of Lie Theory</i>, vol. 30, no. 1, pp. 025–032, 2020.
  mla: Hanusch, Maximilian. “The Strong Trotter Property for Locally μ-Convex Lie
    Groups.” <i>Journal of Lie Theory</i>, vol. 30, no. 1, Heldermann Verlag, 2020,
    pp. 025–32.
  short: M. Hanusch, Journal of Lie Theory 30 (2020) 025–032.
date_created: 2022-12-22T09:41:22Z
date_updated: 2023-01-09T18:07:37Z
department:
- _id: '93'
extern: '1'
intvolume: '        30'
issue: '1'
keyword:
- Lie theory
- strong Trotter property
language:
- iso: eng
page: 025-032
publication: Journal of Lie Theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: The Strong Trotter Property for Locally μ-convex Lie Groups
type: journal_article
user_id: '30905'
volume: 30
year: '2020'
...
---
_id: '45383'
author:
- first_name: Jennifer
  full_name: Dröse, Jennifer
  id: '85820'
  last_name: Dröse
- first_name: Susanne
  full_name: Prediger, Susanne
  last_name: Prediger
citation:
  ama: 'Dröse J, Prediger S. Enhancing Fifth Graders’ Awareness of Syntactic Features
    in Mathematical Word Problems: A Design Research Study on the Variation Principle.
    <i>Journal für Mathematik-Didaktik, 41(2)</i>. Published online 2020:399-422.
    doi:<a href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">doi.org/10.1007/s13138-019-00153-z</a>'
  apa: 'Dröse, J., &#38; Prediger, S. (2020). Enhancing Fifth Graders’ Awareness of
    Syntactic Features in Mathematical Word Problems: A Design Research Study on the
    Variation Principle. <i>Journal Für Mathematik-Didaktik, 41(2)</i>, 399–422. <a
    href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">https://doi.org/doi.org/10.1007/s13138-019-00153-z</a>'
  bibtex: '@article{Dröse_Prediger_2020, title={Enhancing Fifth Graders’ Awareness
    of Syntactic Features in Mathematical Word Problems: A Design Research Study on
    the Variation Principle}, DOI={<a href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">doi.org/10.1007/s13138-019-00153-z</a>},
    journal={Journal für Mathematik-Didaktik, 41(2)}, author={Dröse, Jennifer and
    Prediger, Susanne}, year={2020}, pages={399–422} }'
  chicago: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
    of Syntactic Features in Mathematical Word Problems: A Design Research Study on
    the Variation Principle.” <i>Journal Für Mathematik-Didaktik, 41(2)</i>, 2020,
    399–422. <a href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">https://doi.org/doi.org/10.1007/s13138-019-00153-z</a>.'
  ieee: 'J. Dröse and S. Prediger, “Enhancing Fifth Graders’ Awareness of Syntactic
    Features in Mathematical Word Problems: A Design Research Study on the Variation
    Principle,” <i>Journal für Mathematik-Didaktik, 41(2)</i>, pp. 399–422, 2020,
    doi: <a href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">doi.org/10.1007/s13138-019-00153-z</a>.'
  mla: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness
    of Syntactic Features in Mathematical Word Problems: A Design Research Study on
    the Variation Principle.” <i>Journal Für Mathematik-Didaktik, 41(2)</i>, 2020,
    pp. 399–422, doi:<a href="https://doi.org/doi.org/10.1007/s13138-019-00153-z">doi.org/10.1007/s13138-019-00153-z</a>.'
  short: J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik, 41(2) (2020) 399–422.
date_created: 2023-05-31T07:16:27Z
date_updated: 2023-11-02T08:06:54Z
department:
- _id: '98'
doi: doi.org/10.1007/s13138-019-00153-z
language:
- iso: eng
page: 399-422
publication: Journal für Mathematik-Didaktik, 41(2)
quality_controlled: '1'
status: public
title: 'Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word
  Problems: A Design Research Study on the Variation Principle'
type: journal_article
user_id: '85820'
year: '2020'
...
---
_id: '29413'
author:
- first_name: K.
  full_name: Flaßkamp, K.
  last_name: Flaßkamp
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: 'S. '
  full_name: 'Peitz, S. '
  last_name: Peitz
citation:
  ama: 'Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective
    model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum
    S, Padberg-Gehle K, eds. <i>Advances in Dynamics, Optimization and Computation</i>.
    Springer International Publishing; 2020:209-237.'
  apa: 'Flaßkamp, K., Ober-Blöbaum, S., &#38; Peitz, S. (2020). Symmetry in optimal
    control: A multiobjective model predictive control approach. In O. Junge, O. Schütze,
    G. Froyland, S. Ober-Blöbaum, &#38; K. Padberg-Gehle (Eds.), <i>Advances in Dynamics,
    Optimization and Computation</i> (pp. 209–237). Springer International Publishing.'
  bibtex: '@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry
    in optimal control: A multiobjective model predictive control approach}, booktitle={Advances
    in Dynamics, Optimization and Computation}, publisher={Springer International
    Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge,
    Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle,
    Kathrin}, year={2020}, pages={209–237} }'
  chicago: 'Flaßkamp, K., Sina Ober-Blöbaum, and S.  Peitz. “Symmetry in Optimal Control:
    A Multiobjective Model Predictive Control Approach.” In <i>Advances in Dynamics,
    Optimization and Computation</i>, edited by Oliver Junge, Oliver Schütze, Gary
    Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer
    International Publishing, 2020.'
  ieee: 'K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in optimal control:
    A multiobjective model predictive control approach,” in <i>Advances in Dynamics,
    Optimization and Computation</i>, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum,
    and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp.
    209–237.'
  mla: 'Flaßkamp, K., et al. “Symmetry in Optimal Control: A Multiobjective Model
    Predictive Control Approach.” <i>Advances in Dynamics, Optimization and Computation</i>,
    edited by Oliver Junge et al., Springer International Publishing, 2020, pp. 209–37.'
  short: 'K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland,
    S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and
    Computation, Springer International Publishing, Cham, 2020, pp. 209–237.'
date_created: 2022-01-18T12:58:18Z
date_updated: 2023-11-08T08:15:14Z
department:
- _id: '636'
editor:
- first_name: Oliver
  full_name: Junge, Oliver
  last_name: Junge
- first_name: Oliver
  full_name: Schütze, Oliver
  last_name: Schütze
- first_name: Gary
  full_name: Froyland, Gary
  last_name: Froyland
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  last_name: Ober-Blöbaum
- first_name: Kathrin
  full_name: Padberg-Gehle, Kathrin
  last_name: Padberg-Gehle
language:
- iso: eng
page: 209-237
place: Cham
publication: Advances in Dynamics, Optimization and Computation
publisher: Springer International Publishing
status: public
title: 'Symmetry in optimal control: A multiobjective model predictive control approach'
type: book_chapter
user_id: '15694'
year: '2020'
...
---
_id: '31553'
author:
- first_name: Susanne
  full_name: Seitz, Susanne
  last_name: Seitz
- first_name: Uta
  full_name: Häsel-Weide, Uta
  id: '60267'
  last_name: Häsel-Weide
- first_name: Yannik
  full_name: Wilke, Yannik
  last_name: Wilke
- first_name: Melina
  full_name: Wallner, Melina
  id: '45445'
  last_name: Wallner
citation:
  ama: Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise von Lehrpersonen für
    inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.
    <i>K:ON Kölner Online-Journal für Lehrer*innenbildung</i>. 2020;(2). doi:<a href="https://doi.org/10.18716/ojs/kON/2020.2.03">10.18716/ojs/kON/2020.2.03</a>
  apa: Seitz, S., Häsel-Weide, U., Wilke, Y., &#38; Wallner, M. (2020). Expertise
    von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
    zur Professionalisierungsforschung. <i>K:ON Kölner Online-Journal für Lehrer*innenbildung</i>,
    <i>2</i>. <a href="https://doi.org/10.18716/ojs/kON/2020.2.03">https://doi.org/10.18716/ojs/kON/2020.2.03</a>
  bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2020, title={Expertise von Lehrpersonen
    für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.},
    DOI={<a href="https://doi.org/10.18716/ojs/kON/2020.2.03">10.18716/ojs/kON/2020.2.03</a>},
    number={2}, journal={K:ON Kölner Online-Journal für Lehrer*innenbildung}, author={Seitz,
    Susanne and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2020}
    }'
  chicago: Seitz, Susanne, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise
    von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte
    zur Professionalisierungsforschung.” <i>K:ON Kölner Online-Journal für Lehrer*innenbildung</i>,
    no. 2 (2020). <a href="https://doi.org/10.18716/ojs/kON/2020.2.03">https://doi.org/10.18716/ojs/kON/2020.2.03</a>.
  ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise von Lehrpersonen
    für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.,”
    <i>K:ON Kölner Online-Journal für Lehrer*innenbildung</i>, no. 2, 2020, doi: <a
    href="https://doi.org/10.18716/ojs/kON/2020.2.03">10.18716/ojs/kON/2020.2.03</a>.'
  mla: Seitz, Susanne, et al. “Expertise von Lehrpersonen für inklusiven Mathematikunterricht
    der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.” <i>K:ON
    Kölner Online-Journal für Lehrer*innenbildung</i>, no. 2, 2020, doi:<a href="https://doi.org/10.18716/ojs/kON/2020.2.03">10.18716/ojs/kON/2020.2.03</a>.
  short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, K:ON Kölner Online-Journal
    für Lehrer*innenbildung (2020).
date_created: 2022-05-31T08:11:34Z
date_updated: 2023-11-24T16:50:38Z
department:
- _id: '98'
- _id: '543'
doi: 10.18716/ojs/kON/2020.2.03
issue: '2'
language:
- iso: ger
publication: K:ON Kölner Online-Journal für Lehrer*innenbildung
publication_status: published
status: public
title: Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe
  - Ausgangspunkte zur Professionalisierungsforschung.
type: journal_article
user_id: '45445'
year: '2020'
...