---
_id: '57820'
article_number: '113600'
author:
- first_name: Vanja
  full_name: Nikolić, Vanja
  last_name: Nikolić
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Nikolić V, Winkler M. L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation.
    <i>Nonlinear Analysis</i>. 2024;247. doi:<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>
  apa: Nikolić, V., &#38; Winkler, M. (2024). L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation. <i>Nonlinear Analysis</i>, <i>247</i>, Article 113600. <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>
  bibtex: '@article{Nikolić_Winkler_2024, title={L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation}, volume={247}, DOI={<a href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>},
    number={113600}, journal={Nonlinear Analysis}, publisher={Elsevier BV}, author={Nikolić,
    Vanja and Winkler, Michael}, year={2024} }'
  chicago: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
    Equation.” <i>Nonlinear Analysis</i> 247 (2024). <a href="https://doi.org/10.1016/j.na.2024.113600">https://doi.org/10.1016/j.na.2024.113600</a>.
  ieee: 'V. Nikolić and M. Winkler, “L∞ blow-up in the Jordan-Moore-Gibson-Thompson
    equation,” <i>Nonlinear Analysis</i>, vol. 247, Art. no. 113600, 2024, doi: <a
    href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.'
  mla: Nikolić, Vanja, and Michael Winkler. “L∞ Blow-up in the Jordan-Moore-Gibson-Thompson
    Equation.” <i>Nonlinear Analysis</i>, vol. 247, 113600, Elsevier BV, 2024, doi:<a
    href="https://doi.org/10.1016/j.na.2024.113600">10.1016/j.na.2024.113600</a>.
  short: V. Nikolić, M. Winkler, Nonlinear Analysis 247 (2024).
date_created: 2024-12-18T07:13:19Z
date_updated: 2026-01-05T08:02:36Z
department:
- _id: '90'
doi: 10.1016/j.na.2024.113600
intvolume: '       247'
language:
- iso: eng
project:
- _id: '245'
  name: 'FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken
    für Leistungsschallanwendungen (NEPTUN)'
publication: Nonlinear Analysis
publication_identifier:
  issn:
  - 0362-546X
publication_status: published
publisher: Elsevier BV
status: public
title: L∞ blow-up in the Jordan-Moore-Gibson-Thompson equation
type: journal_article
user_id: '11829'
volume: 247
year: '2024'
...
---
_id: '57582'
abstract:
- lang: eng
  text: "We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere
    bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical.
    This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder."
author:
- first_name: Benjamin
  full_name: Delarue, Benjamin
  last_name: Delarue
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  last_name: Palmirotta
citation:
  ama: Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact 
    hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.
  apa: Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions
    of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>.
  bibtex: '@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner
    distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782},
    author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }'
  chicago: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner
    Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>,
    2024.
  ieee: B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions
    of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.
  mla: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner
    Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>,
    2024.
  short: B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).
date_created: 2024-12-04T16:28:05Z
date_updated: 2024-12-04T16:33:27Z
department:
- _id: '10'
- _id: '548'
external_id:
  arxiv:
  - '2411.19782'
language:
- iso: eng
project:
- _id: '356'
  grant_number: '491392403'
  name: 'TRR 358 - B02: TRR 358 - Spektraltheorie in höherem Rang und unendlichem
    Volumen (Teilprojekt B02)'
publication: arXiv:2411.19782
status: public
title: Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic
  surfaces
type: preprint
user_id: '109467'
year: '2024'
...
---
_id: '32097'
author:
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: Yannick
  full_name: Guedes Bonthonneau, Yannick
  last_name: Guedes Bonthonneau
- first_name: Colin
  full_name: Guillarmou, Colin
  last_name: Guillarmou
citation:
  ama: 'Weich T, Guedes Bonthonneau Y, Guillarmou C. SRB Measures of Anosov Actions.
    <i>Journal of Differential Geometry</i>. 2024;128:959-1026. doi:<a href="https://doi.org/
    DOI: 10.4310/jdg/1729092452"> DOI: 10.4310/jdg/1729092452</a>'
  apa: 'Weich, T., Guedes Bonthonneau, Y., &#38; Guillarmou, C. (2024). SRB Measures
    of Anosov Actions. <i>Journal of Differential Geometry</i>, <i>128</i>, 959–1026.
    <a href="https://doi.org/ DOI: 10.4310/jdg/1729092452">https://doi.org/ DOI: 10.4310/jdg/1729092452</a>'
  bibtex: '@article{Weich_Guedes Bonthonneau_Guillarmou_2024, title={SRB Measures
    of Anosov Actions}, volume={128}, DOI={<a href="https://doi.org/ DOI: 10.4310/jdg/1729092452">
    DOI: 10.4310/jdg/1729092452</a>}, journal={Journal of Differential Geometry},
    author={Weich, Tobias and Guedes Bonthonneau, Yannick and Guillarmou, Colin},
    year={2024}, pages={959–1026} }'
  chicago: 'Weich, Tobias, Yannick Guedes Bonthonneau, and Colin Guillarmou. “SRB
    Measures of Anosov Actions.” <i>Journal of Differential Geometry</i> 128 (2024):
    959–1026. <a href="https://doi.org/ DOI: 10.4310/jdg/1729092452">https://doi.org/
    DOI: 10.4310/jdg/1729092452</a>.'
  ieee: 'T. Weich, Y. Guedes Bonthonneau, and C. Guillarmou, “SRB Measures of Anosov
    Actions,” <i>Journal of Differential Geometry</i>, vol. 128, pp. 959–1026, 2024,
    doi: <a href="https://doi.org/ DOI: 10.4310/jdg/1729092452"> DOI: 10.4310/jdg/1729092452</a>.'
  mla: 'Weich, Tobias, et al. “SRB Measures of Anosov Actions.” <i>Journal of Differential
    Geometry</i>, vol. 128, 2024, pp. 959–1026, doi:<a href="https://doi.org/ DOI:
    10.4310/jdg/1729092452"> DOI: 10.4310/jdg/1729092452</a>.'
  short: T. Weich, Y. Guedes Bonthonneau, C. Guillarmou, Journal of Differential Geometry
    128 (2024) 959–1026.
date_created: 2022-06-22T09:56:23Z
date_updated: 2025-01-02T15:39:43Z
ddc:
- '510'
department:
- _id: '10'
- _id: '623'
- _id: '548'
doi: ' DOI: 10.4310/jdg/1729092452'
external_id:
  arxiv:
  - https://arxiv.org/abs/2103.12127
file:
- access_level: open_access
  content_type: application/pdf
  creator: weich
  date_created: 2022-06-22T09:56:08Z
  date_updated: 2022-06-22T09:56:08Z
  file_id: '32098'
  file_name: 2103.12127.pdf
  file_size: 745870
  relation: main_file
file_date_updated: 2022-06-22T09:56:08Z
has_accepted_license: '1'
intvolume: '       128'
language:
- iso: eng
oa: '1'
page: 959-1026
project:
- _id: '358'
  grant_number: '491392403'
  name: TRR 358 - Geodätische Flüsse und Weyl Kammer Flüsse auf affinen Gebäuden (Teilprojekt
    B04)
- _id: '355'
  grant_number: '422642921'
  name: Mikrolokale Methoden für hyperbolische Dynamiken
publication: Journal of Differential Geometry
status: public
title: SRB Measures of Anosov Actions
type: journal_article
user_id: '49178'
volume: 128
year: '2024'
...
---
_id: '58873'
abstract:
- lang: eng
  text: "We prove that the Patterson-Sullivan and Wigner distributions on the unit\r\nsphere
    bundle of a convex-cocompact hyperbolic surface are asymptotically\r\nidentical.
    This generalizes results in the compact case by\r\nAnantharaman-Zelditch and Hansen-Hilgert-Schr\\\"oder."
author:
- first_name: Benjamin
  full_name: Delarue, Benjamin
  id: '70575'
  last_name: Delarue
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
citation:
  ama: Delarue B, Palmirotta G. Patterson-Sullivan and Wigner distributions of convex-cocompact 
    hyperbolic surfaces. <i>arXiv:241119782</i>. Published online 2024.
  apa: Delarue, B., &#38; Palmirotta, G. (2024). Patterson-Sullivan and Wigner distributions
    of convex-cocompact  hyperbolic surfaces. In <i>arXiv:2411.19782</i>.
  bibtex: '@article{Delarue_Palmirotta_2024, title={Patterson-Sullivan and Wigner
    distributions of convex-cocompact  hyperbolic surfaces}, journal={arXiv:2411.19782},
    author={Delarue, Benjamin and Palmirotta, Guendalina}, year={2024} }'
  chicago: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner
    Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>,
    2024.
  ieee: B. Delarue and G. Palmirotta, “Patterson-Sullivan and Wigner distributions
    of convex-cocompact  hyperbolic surfaces,” <i>arXiv:2411.19782</i>. 2024.
  mla: Delarue, Benjamin, and Guendalina Palmirotta. “Patterson-Sullivan and Wigner
    Distributions of Convex-Cocompact  Hyperbolic Surfaces.” <i>ArXiv:2411.19782</i>,
    2024.
  short: B. Delarue, G. Palmirotta, ArXiv:2411.19782 (2024).
date_created: 2025-02-28T10:32:30Z
date_updated: 2026-03-30T12:01:12Z
department:
- _id: '548'
external_id:
  arxiv:
  - '2411.19782'
language:
- iso: eng
project:
- _id: '356'
  name: 'TRR 358; TP B02: Spektraltheorie in höherem Rang und unendlichem Volumen'
publication: arXiv:2411.19782
status: public
title: Patterson-Sullivan and Wigner distributions of convex-cocompact  hyperbolic
  surfaces
type: preprint
user_id: '109467'
year: '2024'
...
---
_id: '53542'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title><jats:p>This work deals with the extension
    problem for the fractional Laplacian on Riemannian symmetric spaces <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic>
    of noncompact type and of general rank, which gives rise to a family of convolution
    operators, including the Poisson operator. More precisely, motivated by Euclidean
    results for the Poisson semigroup, we study the long-time asymptotic behavior
    of solutions to the extension problem for <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n
    \                   <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n
    \                 </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    initial data. In the case of the Laplace–Beltrami operator, we show that if the
    initial data are bi-<jats:italic>K</jats:italic>-invariant, then the solution
    to the extension problem behaves asymptotically as the mass times the fundamental
    solution, but this convergence may break down in the non-bi-<jats:italic>K</jats:italic>-invariant
    case. In the second part, we investigate the long-time asymptotic behavior of
    the extension problem associated with the so-called distinguished Laplacian on
    <jats:italic>G</jats:italic>/<jats:italic>K</jats:italic>. In this case, we observe
    phenomena which are similar to the Euclidean setting for the Poisson semigroup,
    such as <jats:inline-formula><jats:alternatives><jats:tex-math>$$L^1$$</jats:tex-math><mml:math
    xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:msup>\r\n
    \                   <mml:mi>L</mml:mi>\r\n                    <mml:mn>1</mml:mn>\r\n
    \                 </mml:msup>\r\n                </mml:math></jats:alternatives></jats:inline-formula>
    asymptotic convergence without the assumption of bi-<jats:italic>K</jats:italic>-invariance.</jats:p>"
article_number: '34'
author:
- first_name: Efthymia
  full_name: Papageorgiou, Efthymia
  id: '100325'
  last_name: Papageorgiou
citation:
  ama: Papageorgiou E. Asymptotic behavior of solutions to the extension problem for
    the fractional Laplacian on noncompact symmetric spaces. <i>Journal of Evolution
    Equations</i>. 2024;24(2). doi:<a href="https://doi.org/10.1007/s00028-024-00959-6">10.1007/s00028-024-00959-6</a>
  apa: Papageorgiou, E. (2024). Asymptotic behavior of solutions to the extension
    problem for the fractional Laplacian on noncompact symmetric spaces. <i>Journal
    of Evolution Equations</i>, <i>24</i>(2), Article 34. <a href="https://doi.org/10.1007/s00028-024-00959-6">https://doi.org/10.1007/s00028-024-00959-6</a>
  bibtex: '@article{Papageorgiou_2024, title={Asymptotic behavior of solutions to
    the extension problem for the fractional Laplacian on noncompact symmetric spaces},
    volume={24}, DOI={<a href="https://doi.org/10.1007/s00028-024-00959-6">10.1007/s00028-024-00959-6</a>},
    number={234}, journal={Journal of Evolution Equations}, publisher={Springer Science
    and Business Media LLC}, author={Papageorgiou, Efthymia}, year={2024} }'
  chicago: Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension
    Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal
    of Evolution Equations</i> 24, no. 2 (2024). <a href="https://doi.org/10.1007/s00028-024-00959-6">https://doi.org/10.1007/s00028-024-00959-6</a>.
  ieee: 'E. Papageorgiou, “Asymptotic behavior of solutions to the extension problem
    for the fractional Laplacian on noncompact symmetric spaces,” <i>Journal of Evolution
    Equations</i>, vol. 24, no. 2, Art. no. 34, 2024, doi: <a href="https://doi.org/10.1007/s00028-024-00959-6">10.1007/s00028-024-00959-6</a>.'
  mla: Papageorgiou, Efthymia. “Asymptotic Behavior of Solutions to the Extension
    Problem for the Fractional Laplacian on Noncompact Symmetric Spaces.” <i>Journal
    of Evolution Equations</i>, vol. 24, no. 2, 34, Springer Science and Business
    Media LLC, 2024, doi:<a href="https://doi.org/10.1007/s00028-024-00959-6">10.1007/s00028-024-00959-6</a>.
  short: E. Papageorgiou, Journal of Evolution Equations 24 (2024).
date_created: 2024-04-17T13:18:30Z
date_updated: 2026-07-03T12:35:54Z
department:
- _id: '555'
doi: 10.1007/s00028-024-00959-6
intvolume: '        24'
issue: '2'
keyword:
- Mathematics (miscellaneous)
language:
- iso: eng
publication: Journal of Evolution Equations
publication_identifier:
  issn:
  - 1424-3199
  - 1424-3202
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Asymptotic behavior of solutions to the extension problem for the fractional
  Laplacian on noncompact symmetric spaces
type: journal_article
user_id: '100325'
volume: 24
year: '2024'
...
---
_id: '31189'
abstract:
- lang: eng
  text: "Given a geometrically finite hyperbolic surface of infinite volume it is
    a\r\nclassical result of Patterson that the positive Laplace-Beltrami operator
    has\r\nno $L^2$-eigenvalues $\\geq 1/4$. In this article we prove a generalization
    of\r\nthis result for the joint $L^2$-eigenvalues of the algebra of commuting\r\ndifferential
    operators on Riemannian locally symmetric spaces $\\Gamma\\backslash\r\nG/K$ of
    higher rank. We derive dynamical assumptions on the $\\Gamma$-action on\r\nthe
    geodesic and the Satake compactifications which imply the absence of the\r\ncorresponding
    principal eigenvalues. A large class of examples fulfilling these\r\nassumptions
    are the non-compact quotients by Anosov subgroups."
author:
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: Lasse Lennart
  full_name: Wolf, Lasse Lennart
  id: '45027'
  last_name: Wolf
citation:
  ama: Weich T, Wolf LL. Absence of principal eigenvalues for higher rank locally
    symmetric  spaces. <i>Communications in Mathematical Physics</i>. 2023;403. doi:<a
    href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>
  apa: Weich, T., &#38; Wolf, L. L. (2023). Absence of principal eigenvalues for higher
    rank locally symmetric  spaces. <i>Communications in Mathematical Physics</i>,
    <i>403</i>. <a href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>
  bibtex: '@article{Weich_Wolf_2023, title={Absence of principal eigenvalues for higher
    rank locally symmetric  spaces}, volume={403}, DOI={<a href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>},
    journal={Communications in Mathematical Physics}, author={Weich, Tobias and Wolf,
    Lasse Lennart}, year={2023} }'
  chicago: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues
    for Higher Rank Locally Symmetric  Spaces.” <i>Communications in Mathematical
    Physics</i> 403 (2023). <a href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>.
  ieee: 'T. Weich and L. L. Wolf, “Absence of principal eigenvalues for higher rank
    locally symmetric  spaces,” <i>Communications in Mathematical Physics</i>, vol.
    403, 2023, doi: <a href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>.'
  mla: Weich, Tobias, and Lasse Lennart Wolf. “Absence of Principal Eigenvalues for
    Higher Rank Locally Symmetric  Spaces.” <i>Communications in Mathematical Physics</i>,
    vol. 403, 2023, doi:<a href="https://doi.org/10.1007/s00220-023-04819-1">https://doi.org/10.1007/s00220-023-04819-1</a>.
  short: T. Weich, L.L. Wolf, Communications in Mathematical Physics 403 (2023).
date_created: 2022-05-11T10:38:11Z
date_updated: 2024-02-06T20:52:40Z
department:
- _id: '10'
- _id: '548'
- _id: '623'
doi: https://doi.org/10.1007/s00220-023-04819-1
external_id:
  arxiv:
  - '2205.03167'
intvolume: '       403'
language:
- iso: eng
publication: Communications in Mathematical Physics
publication_identifier:
  unknown:
  - 1275-1295
status: public
title: Absence of principal eigenvalues for higher rank locally symmetric  spaces
type: journal_article
user_id: '49178'
volume: 403
year: '2023'
...
---
_id: '51206'
abstract:
- lang: eng
  text: "We present a numerical algorithm for the computation of invariant Ruelle\r\ndistributions
    on convex co-compact hyperbolic surfaces. This is achieved by\r\nexploiting the
    connection between invariant Ruelle distributions and residues\r\nof meromorphically
    continued weighted zeta functions established by the authors\r\ntogether with
    Barkhofen (2021). To make this applicable for numerics we express\r\nthe weighted
    zeta as the logarithmic derivative of a suitable parameter\r\ndependent Fredholm
    determinant similar to Borthwick (2014). As an additional\r\ndifficulty our transfer
    operator has to include a contracting direction which\r\nwe account for with techniques
    developed by Rugh (1992). We achieve a further\r\nimprovement in convergence speed
    for our algorithm in the case of surfaces with\r\nadditional symmetries by proving
    and applying a symmetry reduction of weighted\r\nzeta functions."
author:
- first_name: Philipp
  full_name: Schütte, Philipp
  id: '50168'
  last_name: Schütte
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Schütte P, Weich T. Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic
    Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. <i>arXiv:230813463</i>.
    Published online 2023.
  apa: Schütte, P., &#38; Weich, T. (2023). Invariant Ruelle Distributions on Convex-Cocompact
    Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions. In
    <i>arXiv:2308.13463</i>.
  bibtex: '@article{Schütte_Weich_2023, title={Invariant Ruelle Distributions on Convex-Cocompact
    Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions}, journal={arXiv:2308.13463},
    author={Schütte, Philipp and Weich, Tobias}, year={2023} }'
  chicago: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on
    Convex-Cocompact Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta
    Functions.” <i>ArXiv:2308.13463</i>, 2023.
  ieee: P. Schütte and T. Weich, “Invariant Ruelle Distributions on Convex-Cocompact
    Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions,” <i>arXiv:2308.13463</i>.
    2023.
  mla: Schütte, Philipp, and Tobias Weich. “Invariant Ruelle Distributions on Convex-Cocompact
    Hyperbolic Surfaces  -- A Numerical Algorithm via Weighted Zeta Functions.” <i>ArXiv:2308.13463</i>,
    2023.
  short: P. Schütte, T. Weich, ArXiv:2308.13463 (2023).
date_created: 2024-02-06T20:58:35Z
date_updated: 2024-02-11T19:56:01Z
department:
- _id: '10'
- _id: '623'
- _id: '548'
external_id:
  arxiv:
  - '2308.13463'
language:
- iso: eng
publication: arXiv:2308.13463
status: public
title: Invariant Ruelle Distributions on Convex-Cocompact Hyperbolic Surfaces  --
  A Numerical Algorithm via Weighted Zeta Functions
type: preprint
user_id: '49178'
year: '2023'
...
---
_id: '31210'
abstract:
- lang: eng
  text: "In this paper we complete the program of relating the Laplace spectrum for\r\nrank
    one compact locally symmetric spaces with the first band Ruelle-Pollicott\r\nresonances
    of the geodesic flow on its sphere bundle. This program was started\r\nby Flaminio
    and Forni for hyperbolic surfaces, continued by Dyatlov, Faure and\r\nGuillarmou
    for real hyperbolic spaces and by Guillarmou, Hilgert and Weich for\r\ngeneral
    rank one spaces. Except for the case of hyperbolic surfaces a countable\r\nset
    of exceptional spectral parameters always left untreated since the\r\ncorresponding
    Poisson transforms are neither injective nor surjective. We use\r\nvector valued
    Poisson transforms to treat also the exceptional spectral\r\nparameters. For surfaces
    the exceptional spectral parameters lead to discrete\r\nseries representations
    of $\\mathrm{SL}(2,\\mathbb R)$. In higher dimensions the\r\nsituation is more
    complicated, but can be described completely."
author:
- first_name: Christian
  full_name: Arends, Christian
  id: '43994'
  last_name: Arends
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: 'Arends C, Hilgert J. Spectral correspondences for rank one locally symmetric
    spaces: the case of exceptional parameters. <i>Journal de l’École polytechnique
    — Mathématiques</i>. 2023;10:335-403. doi:<a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>'
  apa: 'Arends, C., &#38; Hilgert, J. (2023). Spectral correspondences for rank one
    locally symmetric spaces: the case of exceptional parameters. <i>Journal de l’École
    Polytechnique — Mathématiques</i>, <i>10</i>, 335–403. <a href="https://doi.org/10.5802/jep.220">https://doi.org/10.5802/jep.220</a>'
  bibtex: '@article{Arends_Hilgert_2023, title={Spectral correspondences for rank
    one locally symmetric spaces: the case of exceptional parameters}, volume={10},
    DOI={<a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>}, journal={Journal
    de l’École polytechnique — Mathématiques}, author={Arends, Christian and Hilgert,
    Joachim}, year={2023}, pages={335–403} }'
  chicago: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for
    Rank One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal
    de l’École Polytechnique — Mathématiques</i> 10 (2023): 335–403. <a href="https://doi.org/10.5802/jep.220">https://doi.org/10.5802/jep.220</a>.'
  ieee: 'C. Arends and J. Hilgert, “Spectral correspondences for rank one locally
    symmetric spaces: the case of exceptional parameters,” <i>Journal de l’École polytechnique
    — Mathématiques</i>, vol. 10, pp. 335–403, 2023, doi: <a href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>.'
  mla: 'Arends, Christian, and Joachim Hilgert. “Spectral Correspondences for Rank
    One Locally Symmetric Spaces: The Case of Exceptional Parameters.” <i>Journal
    de l’École Polytechnique — Mathématiques</i>, vol. 10, 2023, pp. 335–403, doi:<a
    href="https://doi.org/10.5802/jep.220">10.5802/jep.220</a>.'
  short: C. Arends, J. Hilgert, Journal de l’École Polytechnique — Mathématiques 10
    (2023) 335–403.
date_created: 2022-05-11T12:27:00Z
date_updated: 2024-02-19T06:30:26Z
department:
- _id: '10'
- _id: '548'
- _id: '91'
doi: 10.5802/jep.220
external_id:
  arxiv:
  - '2112.11073'
intvolume: '        10'
keyword:
- Ruelle resonances
- Poisson transforms
- locally symmetric spaces
- principal series representations
language:
- iso: eng
page: 335-403
publication: Journal de l’École polytechnique — Mathématiques
publication_identifier:
  eissn:
  - 2270-518X
  issn:
  - 2429-7100
publication_status: published
status: public
title: 'Spectral correspondences for rank one locally symmetric spaces: the case of
  exceptional parameters'
type: journal_article
user_id: '49063'
volume: 10
year: '2023'
...
---
_id: '34793'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
citation:
  ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie
    groups and G-manifolds. <i>Journal of Differential Equations</i>. 2023;343:186–232.
    doi:<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>
  apa: Glöckner, H., &#38; Hilgert, J. (2023). Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds. <i>Journal of Differential Equations</i>, <i>343</i>,
    186–232. <a href="https://doi.org/10.1016/j.jde.2022.10.001">https://doi.org/10.1016/j.jde.2022.10.001</a>
  bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds}, volume={343}, DOI={<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>},
    journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert,
    Joachim}, year={2023}, pages={186–232} }'
  chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i> 343 (2023):
    186–232. <a href="https://doi.org/10.1016/j.jde.2022.10.001">https://doi.org/10.1016/j.jde.2022.10.001</a>.'
  ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional
    Lie groups and G-manifolds,” <i>Journal of Differential Equations</i>, vol. 343,
    pp. 186–232, 2023, doi: <a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>.'
  mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional
    Lie Groups and G-Manifolds.” <i>Journal of Differential Equations</i>, vol. 343,
    2023, pp. 186–232, doi:<a href="https://doi.org/10.1016/j.jde.2022.10.001">10.1016/j.jde.2022.10.001</a>.
  short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232.
date_created: 2022-12-21T19:31:13Z
date_updated: 2024-03-22T16:02:32Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
- _id: '91'
doi: 10.1016/j.jde.2022.10.001
external_id:
  arxiv:
  - '2007.11277'
intvolume: '       343'
keyword:
- '22E65'
- 28B05
- 34A12
- 34H05
- '46E30'
- '46E40'
language:
- iso: eng
page: 186–232
publication: Journal of Differential Equations
publication_identifier:
  issn:
  - 0022-0396
quality_controlled: '1'
status: public
title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds
type: journal_article
user_id: '178'
volume: 343
year: '2023'
...
---
_id: '53404'
abstract:
- lang: eng
  text: "In this short note we observe, on locally symmetric spaces of higher rank,
    a\r\nconnection between the growth indicator function introduced by Quint and
    the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral
    distance. As a consequence, we provide a different characterization\r\nof the
    bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the
    growth indicator function. Moreover, we explore the relationship between\r\nthese
    three objects and the temperedness."
author:
- first_name: Lasse L.
  full_name: Wolf, Lasse L.
  last_name: Wolf
- first_name: Hong-Wei
  full_name: Zhang, Hong-Wei
  last_name: Zhang
citation:
  ama: Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical
    exponent on  locally symmetric spaces. <i>arXiv:231111770</i>. Published online
    2023.
  apa: Wolf, L. L., &#38; Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function
    and critical exponent on  locally symmetric spaces. In <i>arXiv:2311.11770</i>.
  bibtex: '@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function
    and critical exponent on  locally symmetric spaces}, journal={arXiv:2311.11770},
    author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }'
  chicago: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function
    and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>,
    2023.
  ieee: L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and
    critical exponent on  locally symmetric spaces,” <i>arXiv:2311.11770</i>. 2023.
  mla: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function
    and Critical Exponent on  Locally Symmetric Spaces.” <i>ArXiv:2311.11770</i>,
    2023.
  short: L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023).
date_created: 2024-04-10T13:45:59Z
date_updated: 2024-04-10T13:48:17Z
department:
- _id: '10'
- _id: '548'
external_id:
  arxiv:
  - '2311.11770'
language:
- iso: eng
publication: arXiv:2311.11770
status: public
title: $L^2$-spectrum, growth indicator function and critical exponent on  locally
  symmetric spaces
type: preprint
user_id: '45027'
year: '2023'
...
---
_id: '53410'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>We consider a geodesic billiard system
    consisting of a complete Riemannian manifold and an obstacle submanifold with
    boundary at which the trajectories of the geodesic flow experience specular reflections.
    We show that if the geodesic billiard system is hyperbolic on its trapped set
    and the latter is compact and non-grazing, the techniques for open hyperbolic
    systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146,
    2016) can be applied to a smooth model for the discontinuous flow defined by the
    non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent
    for the generator of the billiard flow. As an application we prove a meromorphic
    continuation of weighted zeta functions together with explicit residue formulae.
    In particular, our results apply to scattering by convex obstacles in the Euclidean
    plane.</jats:p>
author:
- first_name: Benjamin
  full_name: Delarue, Benjamin
  id: '70575'
  last_name: Delarue
- first_name: Philipp
  full_name: Schütte, Philipp
  id: '50168'
  last_name: Schütte
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
citation:
  ama: Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle
    Scattering via Smooth Models. <i>Annales Henri Poincaré</i>. 2023;25(2):1607-1656.
    doi:<a href="https://doi.org/10.1007/s00023-023-01379-x">10.1007/s00023-023-01379-x</a>
  apa: Delarue, B., Schütte, P., &#38; Weich, T. (2023). Resonances and Weighted Zeta
    Functions for Obstacle Scattering via Smooth Models. <i>Annales Henri Poincaré</i>,
    <i>25</i>(2), 1607–1656. <a href="https://doi.org/10.1007/s00023-023-01379-x">https://doi.org/10.1007/s00023-023-01379-x</a>
  bibtex: '@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta
    Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={<a href="https://doi.org/10.1007/s00023-023-01379-x">10.1007/s00023-023-01379-x</a>},
    number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and
    Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich,
    Tobias}, year={2023}, pages={1607–1656} }'
  chicago: 'Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and
    Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” <i>Annales
    Henri Poincaré</i> 25, no. 2 (2023): 1607–56. <a href="https://doi.org/10.1007/s00023-023-01379-x">https://doi.org/10.1007/s00023-023-01379-x</a>.'
  ieee: 'B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions
    for Obstacle Scattering via Smooth Models,” <i>Annales Henri Poincaré</i>, vol.
    25, no. 2, pp. 1607–1656, 2023, doi: <a href="https://doi.org/10.1007/s00023-023-01379-x">10.1007/s00023-023-01379-x</a>.'
  mla: Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle
    Scattering via Smooth Models.” <i>Annales Henri Poincaré</i>, vol. 25, no. 2,
    Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:<a href="https://doi.org/10.1007/s00023-023-01379-x">10.1007/s00023-023-01379-x</a>.
  short: B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656.
date_created: 2024-04-11T12:30:14Z
date_updated: 2024-04-11T12:37:34Z
department:
- _id: '548'
doi: 10.1007/s00023-023-01379-x
intvolume: '        25'
issue: '2'
keyword:
- Mathematical Physics
- Nuclear and High Energy Physics
- Statistical and Nonlinear Physics
language:
- iso: eng
page: 1607-1656
publication: Annales Henri Poincaré
publication_identifier:
  issn:
  - 1424-0637
  - 1424-0661
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models
type: journal_article
user_id: '70575'
volume: 25
year: '2023'
...
---
_id: '53411'
abstract:
- lang: eng
  text: "We compute a Riemann-Roch formula for the invariant Riemann-Roch number of
    a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms
    of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value
    of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new
    explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular
    stationary phase expansion of the associated Witten integral."
author:
- first_name: Benjamin
  full_name: Delarue, Benjamin
  id: '70575'
  last_name: Delarue
- first_name: Louis
  full_name: Ioos, Louis
  last_name: Ioos
- first_name: Pablo
  full_name: Ramacher, Pablo
  last_name: Ramacher
citation:
  ama: Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions
    by circle actions. <i>arXiv:230209894</i>. Published online 2023.
  apa: Delarue, B., Ioos, L., &#38; Ramacher, P. (2023). A Riemann-Roch formula for
    singular reductions by circle actions. In <i>arXiv:2302.09894</i>.
  bibtex: '@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for
    singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue,
    Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }'
  chicago: Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula
    for Singular Reductions by Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.
  ieee: B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular
    reductions by circle actions,” <i>arXiv:2302.09894</i>. 2023.
  mla: Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by
    Circle Actions.” <i>ArXiv:2302.09894</i>, 2023.
  short: B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023).
date_created: 2024-04-11T12:30:42Z
date_updated: 2024-04-11T12:37:09Z
department:
- _id: '548'
external_id:
  arxiv:
  - '2302.09894'
language:
- iso: eng
publication: arXiv:2302.09894
status: public
title: A Riemann-Roch formula for singular reductions by circle actions
type: preprint
user_id: '70575'
year: '2023'
...
---
_id: '53538'
abstract:
- lang: eng
  text: <jats:title>Abstract</jats:title><jats:p>We study harmonic maps from a subset
    of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis
    (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon
    equation and a Bäcklund transformation is introduced, which connects solutions
    of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order
    to construct new harmonic maps to the hyperbolic plane.</jats:p>
author:
- first_name: G.
  full_name: Polychrou, G.
  last_name: Polychrou
- first_name: Efthymia
  full_name: Papageorgiou, Efthymia
  id: '100325'
  last_name: Papageorgiou
- first_name: A.
  full_name: Fotiadis, A.
  last_name: Fotiadis
- first_name: C.
  full_name: Daskaloyannis, C.
  last_name: Daskaloyannis
citation:
  ama: Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic
    maps to the hyperbolic plane via Bäcklund transformation. <i>Revista Matemática
    Complutense</i>. Published online 2023. doi:<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>
  apa: Polychrou, G., Papageorgiou, E., Fotiadis, A., &#38; Daskaloyannis, C. (2023).
    New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation.
    <i>Revista Matemática Complutense</i>. <a href="https://doi.org/10.1007/s13163-023-00476-z">https://doi.org/10.1007/s13163-023-00476-z</a>
  bibtex: '@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New
    examples of harmonic maps to the hyperbolic plane via Bäcklund transformation},
    DOI={<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>},
    journal={Revista Matemática Complutense}, publisher={Springer Science and Business
    Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A.
    and Daskaloyannis, C.}, year={2023} }'
  chicago: Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis.
    “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.”
    <i>Revista Matemática Complutense</i>, 2023. <a href="https://doi.org/10.1007/s13163-023-00476-z">https://doi.org/10.1007/s13163-023-00476-z</a>.
  ieee: 'G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples
    of harmonic maps to the hyperbolic plane via Bäcklund transformation,” <i>Revista
    Matemática Complutense</i>, 2023, doi: <a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>.'
  mla: Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane
    via Bäcklund Transformation.” <i>Revista Matemática Complutense</i>, Springer
    Science and Business Media LLC, 2023, doi:<a href="https://doi.org/10.1007/s13163-023-00476-z">10.1007/s13163-023-00476-z</a>.
  short: G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática
    Complutense (2023).
date_created: 2024-04-17T13:15:07Z
date_updated: 2024-04-17T13:15:51Z
department:
- _id: '555'
doi: 10.1007/s13163-023-00476-z
keyword:
- General Mathematics
language:
- iso: eng
publication: Revista Matemática Complutense
publication_identifier:
  issn:
  - 1139-1138
  - 1988-2807
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
type: journal_article
user_id: '100325'
year: '2023'
...
---
_id: '36294'
author:
- first_name: Dominik
  full_name: Brennecken, Dominik
  id: '55911'
  last_name: Brennecken
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
citation:
  ama: Brennecken D, Rösler M. The Dunkl-Laplace transform and Macdonald’s hypergeometric
    series. <i>Transactions of the American Mathematical Society</i>. 2023;376(4):2419-2447.
    doi:<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>
  apa: Brennecken, D., &#38; Rösler, M. (2023). The Dunkl-Laplace transform and Macdonald’s
    hypergeometric series. <i>Transactions of the American Mathematical Society</i>,
    <i>376</i>(4), 2419–2447. <a href="https://doi.org/10.1090/tran/8860">https://doi.org/10.1090/tran/8860</a>
  bibtex: '@article{Brennecken_Rösler_2023, title={The Dunkl-Laplace transform and
    Macdonald’s hypergeometric series}, volume={376}, DOI={<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>},
    number={4}, journal={Transactions of the American Mathematical Society}, publisher={
    American Mathematical Society}, author={Brennecken, Dominik and Rösler, Margit},
    year={2023}, pages={2419–2447} }'
  chicago: 'Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and
    Macdonald’s Hypergeometric Series.” <i>Transactions of the American Mathematical
    Society</i> 376, no. 4 (2023): 2419–47. <a href="https://doi.org/10.1090/tran/8860">https://doi.org/10.1090/tran/8860</a>.'
  ieee: 'D. Brennecken and M. Rösler, “The Dunkl-Laplace transform and Macdonald’s
    hypergeometric series,” <i>Transactions of the American Mathematical Society</i>,
    vol. 376, no. 4, pp. 2419–2447, 2023, doi: <a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>.'
  mla: Brennecken, Dominik, and Margit Rösler. “The Dunkl-Laplace Transform and Macdonald’s
    Hypergeometric Series.” <i>Transactions of the American Mathematical Society</i>,
    vol. 376, no. 4,  American Mathematical Society, 2023, pp. 2419–47, doi:<a href="https://doi.org/10.1090/tran/8860">10.1090/tran/8860</a>.
  short: D. Brennecken, M. Rösler, Transactions of the American Mathematical Society
    376 (2023) 2419–2447.
date_created: 2023-01-12T08:32:44Z
date_updated: 2024-04-24T12:47:49Z
department:
- _id: '555'
doi: 10.1090/tran/8860
intvolume: '       376'
issue: '4'
language:
- iso: eng
page: 2419-2447
publication: Transactions of the American Mathematical Society
publication_status: published
publisher: ' American Mathematical Society'
status: public
title: The Dunkl-Laplace transform and Macdonald’s hypergeometric series
type: journal_article
user_id: '37390'
volume: 376
year: '2023'
...
---
_id: '34803'
article_number: '50'
author:
- first_name: Elena
  full_name: Celledoni, Elena
  last_name: Celledoni
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Jørgen
  full_name: Riseth, Jørgen
  last_name: Riseth
- first_name: Alexander
  full_name: Schmeding, Alexander
  last_name: Schmeding
citation:
  ama: Celledoni E, Glöckner H, Riseth J, Schmeding A. Deep neural networks on diffeomorphism
    groups for optimal shape reparametrization. <i>BIT Numerical Mathematics</i>.
    2023;63. doi:<a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>
  apa: Celledoni, E., Glöckner, H., Riseth, J., &#38; Schmeding, A. (2023). Deep neural
    networks on diffeomorphism groups for optimal shape reparametrization. <i>BIT
    Numerical Mathematics</i>, <i>63</i>, Article 50. <a href="https://doi.org/10.1007/s10543-023-00989-05">https://doi.org/10.1007/s10543-023-00989-05</a>
  bibtex: '@article{Celledoni_Glöckner_Riseth_Schmeding_2023, title={Deep neural networks
    on diffeomorphism groups for optimal shape reparametrization}, volume={63}, DOI={<a
    href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>},
    number={50}, journal={BIT Numerical Mathematics}, publisher={Springer}, author={Celledoni,
    Elena and Glöckner, Helge and Riseth, Jørgen and Schmeding, Alexander}, year={2023}
    }'
  chicago: Celledoni, Elena, Helge Glöckner, Jørgen Riseth, and Alexander Schmeding.
    “Deep Neural Networks on Diffeomorphism Groups for Optimal Shape Reparametrization.”
    <i>BIT Numerical Mathematics</i> 63 (2023). <a href="https://doi.org/10.1007/s10543-023-00989-05">https://doi.org/10.1007/s10543-023-00989-05</a>.
  ieee: 'E. Celledoni, H. Glöckner, J. Riseth, and A. Schmeding, “Deep neural networks
    on diffeomorphism groups for optimal shape reparametrization,” <i>BIT Numerical
    Mathematics</i>, vol. 63, Art. no. 50, 2023, doi: <a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>.'
  mla: Celledoni, Elena, et al. “Deep Neural Networks on Diffeomorphism Groups for
    Optimal Shape Reparametrization.” <i>BIT Numerical Mathematics</i>, vol. 63, 50,
    Springer, 2023, doi:<a href="https://doi.org/10.1007/s10543-023-00989-05">10.1007/s10543-023-00989-05</a>.
  short: E. Celledoni, H. Glöckner, J. Riseth, A. Schmeding, BIT Numerical Mathematics
    63 (2023).
date_created: 2022-12-22T07:37:20Z
date_updated: 2024-08-09T08:48:06Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1007/s10543-023-00989-05
external_id:
  arxiv:
  - '2207.11141'
intvolume: '        63'
language:
- iso: eng
publication: BIT Numerical Mathematics
publisher: Springer
quality_controlled: '1'
status: public
title: Deep neural networks on diffeomorphism groups for optimal shape reparametrization
type: journal_article
user_id: '178'
volume: 63
year: '2023'
...
---
_id: '34805'
abstract:
- lang: eng
  text: "Let $E$ be a finite-dimensional real vector space and $M\\subseteq E$ be
    a\r\nconvex polytope with non-empty interior. We turn the group of all\r\n$C^\\infty$-diffeomorphisms
    of $M$ into a regular Lie group."
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Diffeomorphism groups of convex polytopes. <i>Journal of Convex
    Analysis</i>. 2023;30(1):343-358.
  apa: Glöckner, H. (2023). Diffeomorphism groups of convex polytopes. <i>Journal
    of Convex Analysis</i>, <i>30</i>(1), 343–358.
  bibtex: '@article{Glöckner_2023, title={Diffeomorphism groups of convex polytopes},
    volume={30}, number={1}, journal={Journal of Convex Analysis}, publisher={Heldermann},
    author={Glöckner, Helge}, year={2023}, pages={343–358} }'
  chicago: 'Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal
    of Convex Analysis</i> 30, no. 1 (2023): 343–58.'
  ieee: H. Glöckner, “Diffeomorphism groups of convex polytopes,” <i>Journal of Convex
    Analysis</i>, vol. 30, no. 1, pp. 343–358, 2023.
  mla: Glöckner, Helge. “Diffeomorphism Groups of Convex Polytopes.” <i>Journal of
    Convex Analysis</i>, vol. 30, no. 1, Heldermann, 2023, pp. 343–58.
  short: H. Glöckner, Journal of Convex Analysis 30 (2023) 343–358.
date_created: 2022-12-22T07:45:13Z
date_updated: 2024-08-09T08:49:17Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2203.09285'
intvolume: '        30'
issue: '1'
language:
- iso: eng
page: 343-358
publication: Journal of Convex Analysis
publisher: Heldermann
quality_controlled: '1'
status: public
title: Diffeomorphism groups of convex polytopes
type: journal_article
user_id: '178'
volume: 30
year: '2023'
...
---
_id: '34801'
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
- first_name: Luis
  full_name: Tárrega, Luis
  last_name: Tárrega
citation:
  ama: Glöckner H, Tárrega L. Mapping groups associated with real-valued function
    spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>.
    2023;33(1):271-296.
  apa: Glöckner, H., &#38; Tárrega, L. (2023). Mapping groups associated with real-valued
    function spaces and direct limits of Sobolev-Lie groups . <i>Journal of Lie Theory</i>,
    <i>33</i>(1), 271–296.
  bibtex: '@article{Glöckner_Tárrega_2023, title={Mapping groups associated with real-valued
    function spaces and direct limits of Sobolev-Lie groups }, volume={33}, number={1},
    journal={Journal of Lie Theory}, publisher={Heldermann}, author={Glöckner, Helge
    and Tárrega, Luis}, year={2023}, pages={271–296} }'
  chicago: 'Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
    Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>
    33, no. 1 (2023): 271–96.'
  ieee: H. Glöckner and L. Tárrega, “Mapping groups associated with real-valued function
    spaces and direct limits of Sobolev-Lie groups ,” <i>Journal of Lie Theory</i>,
    vol. 33, no. 1, pp. 271–296, 2023.
  mla: Glöckner, Helge, and Luis Tárrega. “Mapping Groups Associated with Real-Valued
    Function Spaces and Direct Limits of Sobolev-Lie Groups .” <i>Journal of Lie Theory</i>,
    vol. 33, no. 1, Heldermann, 2023, pp. 271–96.
  short: H. Glöckner, L. Tárrega, Journal of Lie Theory 33 (2023) 271–296.
date_created: 2022-12-22T07:23:57Z
date_updated: 2024-08-09T08:48:51Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2210.01246'
intvolume: '        33'
issue: '1'
language:
- iso: eng
page: 271-296
publication: Journal of Lie Theory
publisher: Heldermann
quality_controlled: '1'
status: public
title: 'Mapping groups associated with real-valued function spaces and direct limits
  of Sobolev-Lie groups '
type: journal_article
user_id: '178'
volume: 33
year: '2023'
...
---
_id: '55575'
author:
- first_name: Johanna
  full_name: Jakob, Johanna
  last_name: Jakob
citation:
  ama: Jakob J. Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen. Published
    online 2023.
  apa: Jakob, J. (2023). <i>Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen</i>.
  bibtex: '@article{Jakob_2023, title={Der Whitneysche Fortsetzungssatz für vektorwertige
    Funktionen}, author={Jakob, Johanna}, year={2023} }'
  chicago: Jakob, Johanna. “Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen,”
    2023.
  ieee: J. Jakob, “Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen.”
    2023.
  mla: Jakob, Johanna. <i>Der Whitneysche Fortsetzungssatz Für Vektorwertige Funktionen</i>.
    2023.
  short: J. Jakob, (2023).
date_created: 2024-08-09T09:15:06Z
date_updated: 2024-08-09T09:27:43Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2307.03473'
language:
- iso: eng
status: public
title: Der Whitneysche Fortsetzungssatz für vektorwertige Funktionen
type: preprint
user_id: '178'
year: '2023'
...
---
_id: '34814'
article_type: original
author:
- first_name: Maximilian
  full_name: Hanusch, Maximilian
  id: '30905'
  last_name: Hanusch
citation:
  ama: Hanusch M. A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus.
    <i>Canadian Journal of Mathematics</i>. 2023;75(1):170-201. doi:<a href="https://doi.org/10.4153/s0008414x21000596">10.4153/s0008414x21000596</a>
  apa: Hanusch, M. (2023). A $C^k$-seeley-extension-theorem for Bastiani’s differential
    calculus. <i>Canadian Journal of Mathematics</i>, <i>75</i>(1), 170–201. <a href="https://doi.org/10.4153/s0008414x21000596">https://doi.org/10.4153/s0008414x21000596</a>
  bibtex: '@article{Hanusch_2023, title={A $C^k$-seeley-extension-theorem for Bastiani’s
    differential calculus}, volume={75}, DOI={<a href="https://doi.org/10.4153/s0008414x21000596">10.4153/s0008414x21000596</a>},
    number={1}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
    Society}, author={Hanusch, Maximilian}, year={2023}, pages={170–201} }'
  chicago: 'Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s
    Differential Calculus.” <i>Canadian Journal of Mathematics</i> 75, no. 1 (2023):
    170–201. <a href="https://doi.org/10.4153/s0008414x21000596">https://doi.org/10.4153/s0008414x21000596</a>.'
  ieee: 'M. Hanusch, “A $C^k$-seeley-extension-theorem for Bastiani’s differential
    calculus,” <i>Canadian Journal of Mathematics</i>, vol. 75, no. 1, pp. 170–201,
    2023, doi: <a href="https://doi.org/10.4153/s0008414x21000596">10.4153/s0008414x21000596</a>.'
  mla: Hanusch, Maximilian. “A $C^k$-Seeley-Extension-Theorem for Bastiani’s Differential
    Calculus.” <i>Canadian Journal of Mathematics</i>, vol. 75, no. 1, Canadian Mathematical
    Society, 2023, pp. 170–201, doi:<a href="https://doi.org/10.4153/s0008414x21000596">10.4153/s0008414x21000596</a>.
  short: M. Hanusch, Canadian Journal of Mathematics 75 (2023) 170–201.
date_created: 2022-12-22T09:16:48Z
date_updated: 2023-02-22T11:38:32Z
department:
- _id: '93'
doi: 10.4153/s0008414x21000596
intvolume: '        75'
issue: '1'
keyword:
- extension of differentiable maps
language:
- iso: eng
page: 170-201
project:
- _id: '161'
  name: 'RegLie: Regularität von Lie-Gruppen und Lie''s Dritter Satz (RegLie)'
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
  - 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus
type: journal_article
user_id: '30905'
volume: 75
year: '2023'
...
---
_id: '43105'
article_number: '103868'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Mario
  full_name: Fuest, Mario
  last_name: Fuest
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Masaaki
  full_name: Mizukami, Masaaki
  last_name: Mizukami
citation:
  ama: 'Black T, Fuest M, Lankeit J, Mizukami M. Possible points of blow-up in chemotaxis
    systems with spatially heterogeneous logistic source. <i>Nonlinear Analysis: Real
    World Applications</i>. 2023;73. doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>'
  apa: 'Black, T., Fuest, M., Lankeit, J., &#38; Mizukami, M. (2023). Possible points
    of blow-up in chemotaxis systems with spatially heterogeneous logistic source.
    <i>Nonlinear Analysis: Real World Applications</i>, <i>73</i>, Article 103868.
    <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>'
  bibtex: '@article{Black_Fuest_Lankeit_Mizukami_2023, title={Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source}, volume={73},
    DOI={<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>},
    number={103868}, journal={Nonlinear Analysis: Real World Applications}, publisher={Elsevier
    BV}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes and Mizukami,
    Masaaki}, year={2023} }'
  chicago: 'Black, Tobias, Mario Fuest, Johannes Lankeit, and Masaaki Mizukami. “Possible
    Points of Blow-up in Chemotaxis Systems with Spatially Heterogeneous Logistic
    Source.” <i>Nonlinear Analysis: Real World Applications</i> 73 (2023). <a href="https://doi.org/10.1016/j.nonrwa.2023.103868">https://doi.org/10.1016/j.nonrwa.2023.103868</a>.'
  ieee: 'T. Black, M. Fuest, J. Lankeit, and M. Mizukami, “Possible points of blow-up
    in chemotaxis systems with spatially heterogeneous logistic source,” <i>Nonlinear
    Analysis: Real World Applications</i>, vol. 73, Art. no. 103868, 2023, doi: <a
    href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  mla: 'Black, Tobias, et al. “Possible Points of Blow-up in Chemotaxis Systems with
    Spatially Heterogeneous Logistic Source.” <i>Nonlinear Analysis: Real World Applications</i>,
    vol. 73, 103868, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.nonrwa.2023.103868">10.1016/j.nonrwa.2023.103868</a>.'
  short: 'T. Black, M. Fuest, J. Lankeit, M. Mizukami, Nonlinear Analysis: Real World
    Applications 73 (2023).'
date_created: 2023-03-27T07:25:58Z
date_updated: 2023-03-27T07:27:03Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1016/j.nonrwa.2023.103868
intvolume: '        73'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Economics
- Econometrics and Finance
- General Engineering
- General Medicine
- Analysis
language:
- iso: eng
publication: 'Nonlinear Analysis: Real World Applications'
publication_identifier:
  issn:
  - 1468-1218
publication_status: published
publisher: Elsevier BV
status: public
title: Possible points of blow-up in chemotaxis systems with spatially heterogeneous
  logistic source
type: journal_article
user_id: '23686'
volume: 73
year: '2023'
...
