---
_id: '34675'
article_number: '135'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Chunyan
  full_name: Wu, Chunyan
  last_name: Wu
citation:
  ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability
    in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift für angewandte
    Mathematik und Physik</i>. 2021;72(4). doi:<a href="https://doi.org/10.1007/s00033-021-01565-z">10.1007/s00033-021-01565-z</a>'
  apa: 'Black, T., &#38; Wu, C. (2021). Prescribed signal concentration on the boundary:
    Weak solvability in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift
    Für Angewandte Mathematik Und Physik</i>, <i>72</i>(4), Article 135. <a href="https://doi.org/10.1007/s00033-021-01565-z">https://doi.org/10.1007/s00033-021-01565-z</a>'
  bibtex: '@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary:
    Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72},
    DOI={<a href="https://doi.org/10.1007/s00033-021-01565-z">10.1007/s00033-021-01565-z</a>},
    number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer
    Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021}
    }'
  chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the
    Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.”
    <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 72, no. 4 (2021). <a href="https://doi.org/10.1007/s00033-021-01565-z">https://doi.org/10.1007/s00033-021-01565-z</a>.'
  ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak
    solvability in a chemotaxis-Stokes system with proliferation,” <i>Zeitschrift
    für angewandte Mathematik und Physik</i>, vol. 72, no. 4, Art. no. 135, 2021,
    doi: <a href="https://doi.org/10.1007/s00033-021-01565-z">10.1007/s00033-021-01565-z</a>.'
  mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary:
    Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” <i>Zeitschrift
    Für Angewandte Mathematik Und Physik</i>, vol. 72, no. 4, 135, Springer Science
    and Business Media LLC, 2021, doi:<a href="https://doi.org/10.1007/s00033-021-01565-z">10.1007/s00033-021-01565-z</a>.'
  short: T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).
date_created: 2022-12-21T09:48:45Z
date_updated: 2023-07-10T11:39:30Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00033-021-01565-z
intvolume: '        72'
issue: '4'
keyword:
- Applied Mathematics
- General Physics and Astronomy
- General Mathematics
language:
- iso: eng
publication: Zeitschrift für angewandte Mathematik und Physik
publication_identifier:
  issn:
  - 0044-2275
  - 1420-9039
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes
  system with proliferation'
type: journal_article
user_id: '23686'
volume: 72
year: '2021'
...
---
_id: '64765'
author:
- first_name: Natalie
  full_name: Nikitin, Natalie
  last_name: Nikitin
citation:
  ama: Nikitin N. <i>Regularity Properties of Infinite-Dimensional Lie Groups and
    Exponential Laws</i>.; 2021.
  apa: Nikitin, N. (2021). <i>Regularity properties of infinite-dimensional Lie groups
    and exponential laws</i>.
  bibtex: '@book{Nikitin_2021, title={Regularity properties of infinite-dimensional
    Lie groups and exponential laws}, author={Nikitin, Natalie}, year={2021} }'
  chicago: Nikitin, Natalie. <i>Regularity Properties of Infinite-Dimensional Lie
    Groups and Exponential Laws</i>, 2021.
  ieee: N. Nikitin, <i>Regularity properties of infinite-dimensional Lie groups and
    exponential laws</i>. 2021.
  mla: Nikitin, Natalie. <i>Regularity Properties of Infinite-Dimensional Lie Groups
    and Exponential Laws</i>. 2021.
  short: N. Nikitin, Regularity Properties of Infinite-Dimensional Lie Groups and
    Exponential Laws, 2021.
date_created: 2026-02-26T21:15:13Z
date_updated: 2026-02-26T21:15:28Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://nbn-resolving.org/urn:nbn:de:hbz:466:2-39133
oa: '1'
status: public
supervisor:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
title: Regularity properties of infinite-dimensional Lie groups and exponential laws
type: dissertation
user_id: '178'
year: '2021'
...
---
_id: '34790'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: George A.
  full_name: Willis, George A.
  last_name: Willis
citation:
  ama: Glöckner H, Willis GA. Locally pro-p contraction groups are nilpotent. <i>Journal
    für die reine und angewandte Mathematik</i>. 2021;781:85–103. doi:<a href="https://doi.org/10.1515/crelle-2021-0050">10.1515/crelle-2021-0050</a>
  apa: Glöckner, H., &#38; Willis, G. A. (2021). Locally pro-p contraction groups
    are nilpotent. <i>Journal Für Die Reine Und Angewandte Mathematik</i>, <i>781</i>,
    85–103. <a href="https://doi.org/10.1515/crelle-2021-0050">https://doi.org/10.1515/crelle-2021-0050</a>
  bibtex: '@article{Glöckner_Willis_2021, title={Locally pro-p contraction groups
    are nilpotent}, volume={781}, DOI={<a href="https://doi.org/10.1515/crelle-2021-0050">10.1515/crelle-2021-0050</a>},
    journal={Journal für die reine und angewandte Mathematik}, author={Glöckner, Helge
    and Willis, George A.}, year={2021}, pages={85–103} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups
    Are Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i> 781 (2021):
    85–103. <a href="https://doi.org/10.1515/crelle-2021-0050">https://doi.org/10.1515/crelle-2021-0050</a>.'
  ieee: 'H. Glöckner and G. A. Willis, “Locally pro-p contraction groups are nilpotent,”
    <i>Journal für die reine und angewandte Mathematik</i>, vol. 781, pp. 85–103,
    2021, doi: <a href="https://doi.org/10.1515/crelle-2021-0050">10.1515/crelle-2021-0050</a>.'
  mla: Glöckner, Helge, and George A. Willis. “Locally Pro-p Contraction Groups Are
    Nilpotent.” <i>Journal Für Die Reine Und Angewandte Mathematik</i>, vol. 781,
    2021, pp. 85–103, doi:<a href="https://doi.org/10.1515/crelle-2021-0050">10.1515/crelle-2021-0050</a>.
  short: H. Glöckner, G.A. Willis, Journal Für Die Reine Und Angewandte Mathematik
    781 (2021) 85–103.
date_created: 2022-12-21T19:17:28Z
date_updated: 2026-02-27T08:34:58Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1515/crelle-2021-0050
intvolume: '       781'
keyword:
- 22D05
- 22A05
- '20E18'
language:
- iso: eng
page: 85–103
publication: Journal für die reine und angewandte Mathematik
publication_identifier:
  issn:
  - 0075-4102
quality_controlled: '1'
status: public
title: Locally pro-p contraction groups are nilpotent
type: journal_article
user_id: '178'
volume: 781
year: '2021'
...
---
_id: '34789'
article_type: original
author:
- first_name: Habib
  full_name: Amiri, Habib
  last_name: Amiri
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Alexander
  full_name: Schmeding, Alexander
  last_name: Schmeding
citation:
  ama: Amiri H, Glöckner H, Schmeding A. Lie groupoids of mappings taking values in
    a Lie groupoid. <i>Archivum Mathematicum</i>. 2020;56(5):307–356. doi:<a href="https://doi.org/10.5817/AM2020-5-307">10.5817/AM2020-5-307</a>
  apa: Amiri, H., Glöckner, H., &#38; Schmeding, A. (2020). Lie groupoids of mappings
    taking values in a Lie groupoid. <i>Archivum Mathematicum</i>, <i>56</i>(5), 307–356.
    <a href="https://doi.org/10.5817/AM2020-5-307">https://doi.org/10.5817/AM2020-5-307</a>
  bibtex: '@article{Amiri_Glöckner_Schmeding_2020, title={Lie groupoids of mappings
    taking values in a Lie groupoid}, volume={56}, DOI={<a href="https://doi.org/10.5817/AM2020-5-307">10.5817/AM2020-5-307</a>},
    number={5}, journal={Archivum Mathematicum}, author={Amiri, Habib and Glöckner,
    Helge and Schmeding, Alexander}, year={2020}, pages={307–356} }'
  chicago: 'Amiri, Habib, Helge Glöckner, and Alexander Schmeding. “Lie Groupoids
    of Mappings Taking Values in a Lie Groupoid.” <i>Archivum Mathematicum</i> 56,
    no. 5 (2020): 307–356. <a href="https://doi.org/10.5817/AM2020-5-307">https://doi.org/10.5817/AM2020-5-307</a>.'
  ieee: 'H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking
    values in a Lie groupoid,” <i>Archivum Mathematicum</i>, vol. 56, no. 5, pp. 307–356,
    2020, doi: <a href="https://doi.org/10.5817/AM2020-5-307">10.5817/AM2020-5-307</a>.'
  mla: Amiri, Habib, et al. “Lie Groupoids of Mappings Taking Values in a Lie Groupoid.”
    <i>Archivum Mathematicum</i>, vol. 56, no. 5, 2020, pp. 307–356, doi:<a href="https://doi.org/10.5817/AM2020-5-307">10.5817/AM2020-5-307</a>.
  short: H. Amiri, H. Glöckner, A. Schmeding, Archivum Mathematicum 56 (2020) 307–356.
date_created: 2022-12-21T19:13:24Z
date_updated: 2022-12-21T19:15:59Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.5817/AM2020-5-307
intvolume: '        56'
issue: '5'
keyword:
- 22A22
- '22E65'
- '22E67'
- 46T10
- 47H30
- 58D15
- 58H05
language:
- iso: eng
page: 307–356
publication: Archivum Mathematicum
publication_identifier:
  issn:
  - 0044-8753
quality_controlled: '1'
status: public
title: Lie groupoids of mappings taking values in a Lie groupoid
type: journal_article
user_id: '178'
volume: 56
year: '2020'
...
---
_id: '34787'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Niku
  full_name: Masbough, Niku
  last_name: Masbough
citation:
  ama: Glöckner H, Masbough N. Products of regular locally compact spaces are k_R-spaces.
    <i>Topology Proceedings</i>. 2020;55:35–38.
  apa: Glöckner, H., &#38; Masbough, N. (2020). Products of regular locally compact
    spaces are k_R-spaces. <i>Topology Proceedings</i>, <i>55</i>, 35–38.
  bibtex: '@article{Glöckner_Masbough_2020, title={Products of regular locally compact
    spaces are k_R-spaces}, volume={55}, journal={Topology Proceedings}, author={Glöckner,
    Helge and Masbough, Niku}, year={2020}, pages={35–38} }'
  chicago: 'Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact
    Spaces Are K_R-Spaces.” <i>Topology Proceedings</i> 55 (2020): 35–38.'
  ieee: H. Glöckner and N. Masbough, “Products of regular locally compact spaces are
    k_R-spaces,” <i>Topology Proceedings</i>, vol. 55, pp. 35–38, 2020.
  mla: Glöckner, Helge, and Niku Masbough. “Products of Regular Locally Compact Spaces
    Are K_R-Spaces.” <i>Topology Proceedings</i>, vol. 55, 2020, pp. 35–38.
  short: H. Glöckner, N. Masbough, Topology Proceedings 55 (2020) 35–38.
date_created: 2022-12-21T19:06:45Z
date_updated: 2022-12-21T20:06:44Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
intvolume: '        55'
keyword:
- 54B10
- 54D45
- 54D50
language:
- iso: eng
page: 35–38
publication: Topology Proceedings
publication_identifier:
  issn:
  - 0146-4124
quality_controlled: '1'
status: public
title: Products of regular locally compact spaces are k_R-spaces
type: journal_article
user_id: '178'
volume: 55
year: '2020'
...
---
_id: '34808'
abstract:
- lang: eng
  text: "For suitable finite-dimensional smooth manifolds M (possibly with various\r\nkinds
    of boundary or corners), locally convex topological vector spaces F and\r\nnon-negative
    integers k, we construct continuous linear operators S_n from the\r\nspace of
    F-valued k times continuously differentiable functions on M to the\r\ncorresponding
    space of smooth functions such that S_n(f) converges to f in\r\nC^k(M,F) as n
    tends to infinity, uniformly for f in compact subsets of\r\nC^k(M,F). We also
    study the existence of continuous linear right inverses for\r\nrestriction maps
    from C^k(M,F) to C^k(L,F) if L is a closed subset of M,\r\nendowed with a C^k-manifold
    structure turning the inclusion map from L to M\r\ninto a C^k-map. Moreover, we
    construct continuous linear right inverses for\r\nrestriction operators between
    spaces of sections in vector bundles in many\r\nsituations, and smooth local right
    inverses for restriction operators between\r\nmanifolds of mappings. We also obtain
    smoothing results for sections in fibre\r\nbundles."
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Smoothing operators for vector-valued functions and extension operators.
    <i>arXiv:200600254</i>. Published online 2020.
  apa: Glöckner, H. (2020). Smoothing operators for vector-valued functions and extension
    operators. In <i>arXiv:2006.00254</i>.
  bibtex: '@article{Glöckner_2020, title={Smoothing operators for vector-valued functions
    and extension operators}, journal={arXiv:2006.00254}, author={Glöckner, Helge},
    year={2020} }'
  chicago: Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension
    Operators.” <i>ArXiv:2006.00254</i>, 2020.
  ieee: H. Glöckner, “Smoothing operators for vector-valued functions and extension
    operators,” <i>arXiv:2006.00254</i>. 2020.
  mla: Glöckner, Helge. “Smoothing Operators for Vector-Valued Functions and Extension
    Operators.” <i>ArXiv:2006.00254</i>, 2020.
  short: H. Glöckner, ArXiv:2006.00254 (2020).
date_created: 2022-12-22T07:51:53Z
date_updated: 2022-12-22T07:52:42Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2006.00254'
language:
- iso: eng
publication: arXiv:2006.00254
status: public
title: Smoothing operators for vector-valued functions and extension operators
type: preprint
user_id: '178'
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: '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: '51386'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: H.
  full_name: Barnum, H.
  last_name: Barnum
citation:
  ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>.
    2020;30:315-344.
  apa: Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies.
    <i>J. of Lie Theory</i>, <i>30</i>, 315–344.
  bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies},
    volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum,
    H.}, year={2020}, pages={315–344} }'
  chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.”
    <i>J. of Lie Theory</i> 30 (2020): 315–44.'
  ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of
    Lie Theory</i>, vol. 30, pp. 315–344, 2020.
  mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J.
    of Lie Theory</i>, vol. 30, 2020, pp. 315–44.
  short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.
date_created: 2024-02-19T06:37:21Z
date_updated: 2024-02-19T06:39:48Z
department:
- _id: '91'
intvolume: '        30'
language:
- iso: eng
page: 315-344
publication: J. of Lie Theory
publication_status: published
status: public
title: Spectral Properties of Convex Bodies
type: journal_article
user_id: '49063'
volume: 30
year: '2020'
...
---
_id: '51559'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. <i>Mathematische
    Semesterberichte</i>. 2020;67:301–305. doi:<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>'
  apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction
    – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk:
    Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum
    2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 301–305). <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>'
  bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical
    Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian
    André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen.
    Springer Spektrum 2019}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={301–305} }'
  chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00282-4">https://doi.org/10.1007/s00591-020-00282-4</a>.'
  ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful
    and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige
    Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,”
    <i>Mathematische Semesterberichte</i>, vol. 67. pp. 301–305, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction
    – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk:
    Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum
    2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 301–305, doi:<a
    href="https://doi.org/10.1007/s00591-020-00282-4">10.1007/s00591-020-00282-4</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.
date_created: 2024-02-20T10:01:02Z
date_updated: 2024-02-20T10:03:50Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00282-4
intvolume: '        67'
language:
- iso: eng
page: 301–305
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant
  method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion
  – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51557'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed
    Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press
    2020. <i>Mathematische Semesterberichte</i>. 2020;67:307–309. doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>'
  apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 307–309). <a
    href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>'
  bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a
    Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation.
    Princeton University Press 2020}, volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={307–309} }'
  chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-020-00283-3">https://doi.org/10.1007/s00591-020-00283-3</a>.'
  ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel
    Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 307–309, 2020,
    doi: <a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical
    Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University
    Press 2020.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 307–309,
    doi:<a href="https://doi.org/10.1007/s00591-020-00283-3">10.1007/s00591-020-00283-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.
date_created: 2024-02-20T09:53:55Z
date_updated: 2024-02-20T10:03:46Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00283-3
intvolume: '        67'
language:
- iso: eng
page: 307–309
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance
  Italy and Uncovered the Cubic Equation. Princeton University Press 2020'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51561'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>.
    2020;67:123–124. doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>'
  apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 123–124). <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>'
  bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical
    Optimization to Visual Design. Princeton University Press 2019}, volume={67},
    DOI={<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={123–124} }'
  chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00272-6">https://doi.org/10.1007/s00591-020-00272-6</a>.'
  ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual
    Design. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 123–124, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization
    to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 123–124, doi:<a href="https://doi.org/10.1007/s00591-020-00272-6">10.1007/s00591-020-00272-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.
date_created: 2024-02-20T10:03:14Z
date_updated: 2024-02-20T10:04:02Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00272-6
intvolume: '        67'
language:
- iso: eng
page: 123–124
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51560'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas.
    Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:297–299.
    doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>'
  apa: 'Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of
    the Big Ideas. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 297–299). <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>'
  bibtex: '@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered --
    A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={<a
    href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={297–299} }'
  chicago: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History
    of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-020-00280-6">https://doi.org/10.1007/s00591-020-00280-6</a>.'
  ieee: 'J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big
    Ideas. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>,
    vol. 67. pp. 297–299, 2020, doi: <a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  mla: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the
    Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>,
    vol. 67, 2020, pp. 297–299, doi:<a href="https://doi.org/10.1007/s00591-020-00280-6">10.1007/s00591-020-00280-6</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.
date_created: 2024-02-20T10:02:16Z
date_updated: 2024-02-20T10:03:56Z
department:
- _id: '91'
doi: 10.1007/s00591-020-00280-6
intvolume: '        67'
language:
- iso: eng
page: 297–299
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton
  University Press 2019'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51564'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
    Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). <i>Mathematische
    Semesterberichte</i>. 2020;67:97–98. doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>'
  apa: 'Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In <i>Mathematische
    Semesterberichte</i> (Vol. 67, pp. 97–98). <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>'
  bibtex: '@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen
    und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)},
    volume={67}, DOI={<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={97–98} }'
  chicago: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische
    Semesterberichte</i>, 2020. <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>.'
  ieee: 'J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine
    Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” <i>Mathematische
    Semesterberichte</i>, vol. 67. pp. 97–98, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  mla: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen
    – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische
    Semesterberichte</i>, vol. 67, 2020, pp. 97–98, doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.
date_created: 2024-02-20T10:06:36Z
date_updated: 2024-02-20T10:10:24Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: '        67'
language:
- iso: ger
page: 97–98
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise
  in die Mathematik. 2. Auflage (Springer 2017)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '51563'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  last_name: Hilgert
citation:
  ama: 'Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019). <i>Mathematische Semesterberichte</i>. 2020;67:109–111.
    doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>'
  apa: 'Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon
    zwischen Thales und Euklid (De Gruyter 2019). In <i>Mathematische Semesterberichte</i>
    (Vol. 67, pp. 109–111). <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>'
  bibtex: '@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung
    bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={<a
    href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>},
    journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020},
    pages={109–111} }'
  chicago: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon
    zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>,
    2020. <a href="https://doi.org/10.1007/s00591-019-00254-3">https://doi.org/10.1007/s00591-019-00254-3</a>.'
  ieee: 'J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019),” <i>Mathematische Semesterberichte</i>, vol.
    67. pp. 109–111, 2020, doi: <a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  mla: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen
    Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, vol.
    67, 2020, pp. 109–111, doi:<a href="https://doi.org/10.1007/s00591-019-00254-3">10.1007/s00591-019-00254-3</a>.'
  short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111.
date_created: 2024-02-20T10:05:17Z
date_updated: 2024-02-20T10:10:28Z
department:
- _id: '91'
doi: 10.1007/s00591-019-00254-3
intvolume: '        67'
language:
- iso: ger
page: 109–111
publication: Mathematische Semesterberichte
publication_status: published
status: public
title: 'Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und
  Euklid (De Gruyter 2019)'
type: review
user_id: '49063'
volume: 67
year: '2020'
...
---
_id: '53415'
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: 2024-04-11T12:33:03Z
date_updated: 2024-04-11T12:36:53Z
department:
- _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: '70575'
volume: 378
year: '2020'
...
---
_id: '51488'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Hilgert J. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche,
    die es vielleicht werden wollen</i>. Springer Spektrum; 2020.
  apa: Hilgert, J. (2020). <i>Mathematik studieren -- Ein Ratgeber für Erstsemester
    und solche, die es vielleicht werden wollen</i>. Springer Spektrum.
  bibtex: '@book{Hilgert_2020, title={Mathematik studieren -- Ein Ratgeber für Erstsemester
    und solche, die es vielleicht werden wollen}, publisher={Springer Spektrum}, author={Hilgert,
    Joachim}, year={2020} }'
  chicago: Hilgert, Joachim. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester
    und solche, die es vielleicht werden wollen</i>. Springer Spektrum, 2020.
  ieee: J. Hilgert, <i>Mathematik studieren -- Ein Ratgeber für Erstsemester und solche,
    die es vielleicht werden wollen</i>. Springer Spektrum, 2020.
  mla: Hilgert, Joachim. <i>Mathematik studieren -- Ein Ratgeber für Erstsemester
    und solche, die es vielleicht werden wollen</i>. Springer Spektrum, 2020.
  short: J. Hilgert, Mathematik studieren -- Ein Ratgeber für Erstsemester und solche,
    die es vielleicht werden wollen, Springer Spektrum, 2020.
date_created: 2024-02-19T10:15:44Z
date_updated: 2024-08-08T07:51:40Z
department:
- _id: '91'
language:
- iso: ger
main_file_link:
- url: https://link.springer.com/book/10.1007/978-3-658-31833-8
publication_status: published
publisher: Springer Spektrum
status: public
title: Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht
  werden wollen
type: book
user_id: '220'
year: '2020'
...
---
_id: '37373'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Single-point blow-up in the Cauchy problem for the higher-dimensional
    Keller-Segel system. <i>Nonlinearity</i>. 2020;33:5007-5048.
  apa: Winkler, M. (2020). Single-point blow-up in the Cauchy problem for the higher-dimensional
    Keller-Segel system. <i>Nonlinearity</i>, <i>33</i>, 5007–5048.
  bibtex: '@article{Winkler_2020, title={Single-point blow-up in the Cauchy problem
    for the higher-dimensional Keller-Segel system}, volume={33}, journal={Nonlinearity},
    author={Winkler, Michael}, year={2020}, pages={5007–5048} }'
  chicago: 'Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the
    Higher-Dimensional Keller-Segel System.” <i>Nonlinearity</i> 33 (2020): 5007–48.'
  ieee: M. Winkler, “Single-point blow-up in the Cauchy problem for the higher-dimensional
    Keller-Segel system,” <i>Nonlinearity</i>, vol. 33, pp. 5007–5048, 2020.
  mla: Winkler, Michael. “Single-Point Blow-up in the Cauchy Problem for the Higher-Dimensional
    Keller-Segel System.” <i>Nonlinearity</i>, vol. 33, 2020, pp. 5007–48.
  short: M. Winkler, Nonlinearity 33 (2020) 5007–5048.
date_created: 2023-01-18T12:46:13Z
date_updated: 2023-01-20T13:12:29Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        33'
language:
- iso: eng
page: 5007-5048
publication: Nonlinearity
status: public
title: Single-point blow-up in the Cauchy problem for the higher-dimensional Keller-Segel
  system
type: journal_article
user_id: '15645'
volume: 33
year: '2020'
...
---
_id: '37380'
article_number: '10'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system
    involving a rapidly diffusing repulsive signal. <i>Zeitschrift für angewandte
    Mathematik und Physik</i>. 2020;71.
  apa: Winkler, M. (2020). Boundedness in a two-dimensional Keller-Segel-Navier-Stokes
    system involving a rapidly diffusing repulsive signal. <i>Zeitschrift Für Angewandte
    Mathematik Und Physik</i>, <i>71</i>, Article 10.
  bibtex: '@article{Winkler_2020, title={Boundedness in a two-dimensional Keller-Segel-Navier-Stokes
    system involving a rapidly diffusing repulsive signal.}, volume={71}, number={10},
    journal={Zeitschrift für angewandte Mathematik und Physik}, author={Winkler, Michael},
    year={2020} }'
  chicago: Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes
    System Involving a Rapidly Diffusing Repulsive Signal.” <i>Zeitschrift Für Angewandte
    Mathematik Und Physik</i> 71 (2020).
  ieee: M. Winkler, “Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system
    involving a rapidly diffusing repulsive signal.,” <i>Zeitschrift für angewandte
    Mathematik und Physik</i>, vol. 71, Art. no. 10, 2020.
  mla: Winkler, Michael. “Boundedness in a Two-Dimensional Keller-Segel-Navier-Stokes
    System Involving a Rapidly Diffusing Repulsive Signal.” <i>Zeitschrift Für Angewandte
    Mathematik Und Physik</i>, vol. 71, 10, 2020.
  short: M. Winkler, Zeitschrift Für Angewandte Mathematik Und Physik 71 (2020).
date_created: 2023-01-18T12:55:58Z
date_updated: 2023-01-20T13:13:00Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        71'
language:
- iso: eng
publication: Zeitschrift für angewandte Mathematik und Physik
status: public
title: Boundedness in a two-dimensional Keller-Segel-Navier-Stokes system involving
  a rapidly diffusing repulsive signal.
type: journal_article
user_id: '15645'
volume: 71
year: '2020'
...
