---
_id: '35574'
author:
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Winkler M. A family of mass-critical Keller-Segel systems. <i>Proceedings of
    the London Mathematical Society</i>. 2022;124:133-181.
  apa: Winkler, M. (2022). A family of mass-critical Keller-Segel systems. <i>Proceedings
    of the London Mathematical Society</i>, <i>124</i>, 133–181.
  bibtex: '@article{Winkler_2022, title={A family of mass-critical Keller-Segel systems.},
    volume={124}, journal={Proceedings of the London Mathematical Society}, author={Winkler,
    Michael}, year={2022}, pages={133–181} }'
  chicago: 'Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” <i>Proceedings
    of the London Mathematical Society</i> 124 (2022): 133–81.'
  ieee: M. Winkler, “A family of mass-critical Keller-Segel systems.,” <i>Proceedings
    of the London Mathematical Society</i>, vol. 124, pp. 133–181, 2022.
  mla: Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” <i>Proceedings
    of the London Mathematical Society</i>, vol. 124, 2022, pp. 133–81.
  short: M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.
date_created: 2023-01-09T16:35:09Z
date_updated: 2023-01-20T13:17:33Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '       124'
language:
- iso: eng
page: 133-181
publication: Proceedings of the London Mathematical Society
status: public
title: A family of mass-critical Keller-Segel systems.
type: journal_article
user_id: '15645'
volume: 124
year: '2022'
...
---
_id: '35483'
author:
- first_name: Kyungkeun
  full_name: ' Kang, Kyungkeun'
  last_name: ' Kang'
- first_name: Jihoon
  full_name: Lee, Jihoon
  last_name: Lee
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Kang K, Lee J, Winkler M. Global weak solutions to a chemotaxis-Navier-Stokes
    system in $R^3$. <i>Discrete and Continuous Dynamical Systems</i>. 2022;42:5201-5222.
  apa: Kang, K., Lee, J., &#38; Winkler, M. (2022). Global weak solutions to a chemotaxis-Navier-Stokes
    system in $R^3$. <i>Discrete and Continuous Dynamical Systems</i>, <i>42</i>,
    5201–5222.
  bibtex: '@article{ Kang_Lee_Winkler_2022, title={Global weak solutions to a chemotaxis-Navier-Stokes
    system in $R^3$.}, volume={42}, journal={Discrete and Continuous Dynamical Systems},
    author={ Kang, Kyungkeun and Lee, Jihoon and Winkler, Michael}, year={2022}, pages={5201–5222}
    }'
  chicago: 'Kang, Kyungkeun, Jihoon Lee, and Michael Winkler. “Global Weak Solutions
    to a Chemotaxis-Navier-Stokes System in $R^3$.” <i>Discrete and Continuous Dynamical
    Systems</i> 42 (2022): 5201–22.'
  ieee: K.  Kang, J. Lee, and M. Winkler, “Global weak solutions to a chemotaxis-Navier-Stokes
    system in $R^3$.,” <i>Discrete and Continuous Dynamical Systems</i>, vol. 42,
    pp. 5201–5222, 2022.
  mla: Kang, Kyungkeun, et al. “Global Weak Solutions to a Chemotaxis-Navier-Stokes
    System in $R^3$.” <i>Discrete and Continuous Dynamical Systems</i>, vol. 42, 2022,
    pp. 5201–22.
  short: K.  Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42
    (2022) 5201–5222.
date_created: 2023-01-09T13:02:46Z
date_updated: 2023-01-21T09:30:47Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        42'
language:
- iso: eng
page: 5201-5222
publication: Discrete and Continuous Dynamical Systems
status: public
title: Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.
type: journal_article
user_id: '15645'
volume: 42
year: '2022'
...
---
_id: '38039'
abstract:
- lang: eng
  text: We consider the generators $L_k$ of Heckman-Opdam diffusion processes in the
    compact and non-compact case in $N$ dimensions for root systems of type $A$ and
    $B$, with a multiplicity function of the form $k=κk_0$ with some fixed value $k_0$
    and a varying constant $κ\in\,[0,\infty[$. Using elementary symmetric functions,
    we present polynomials which are simultaneous eigenfunctions of the $L_k$ for
    all $κ\in\,]0,\infty[$. This leads to martingales associated with the Heckman-Opdam
    diffusions $ (X_{t,1},\ldots,X_{t,N})_{t\ge0}$. As our results extend to the freezing
    case $κ=\infty$ with a deterministic limit after some renormalization, we find
    formulas for the expectations $\mathbb E(\prod_{j=1}^N(y-X_{t,j})),$ $y\in\mathbb
    C$.
author:
- first_name: Margit
  full_name: Rösler, Margit
  id: '37390'
  last_name: Rösler
- first_name: Michael
  full_name: Voit, Michael
  last_name: Voit
citation:
  ama: Rösler M, Voit M. Elementary symmetric polynomials and martingales for Heckman-Opdam
    processes. <i>Contemporary Mathematics</i>. 2022;(780):243-262. doi:<a href="https://doi.org/10.48550/ARXIV.2108.03228">10.48550/ARXIV.2108.03228</a>
  apa: Rösler, M., &#38; Voit, M. (2022). Elementary symmetric polynomials and martingales
    for Heckman-Opdam processes. <i>Contemporary Mathematics</i>, <i>780</i>, 243–262.
    <a href="https://doi.org/10.48550/ARXIV.2108.03228">https://doi.org/10.48550/ARXIV.2108.03228</a>
  bibtex: '@article{Rösler_Voit_2022, title={Elementary symmetric polynomials and
    martingales for Heckman-Opdam processes}, DOI={<a href="https://doi.org/10.48550/ARXIV.2108.03228">10.48550/ARXIV.2108.03228</a>},
    number={780}, journal={Contemporary Mathematics}, author={Rösler, Margit and Voit,
    Michael}, year={2022}, pages={243–262} }'
  chicago: 'Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and
    Martingales for Heckman-Opdam Processes.” <i>Contemporary Mathematics</i>, no.
    780 (2022): 243–62. <a href="https://doi.org/10.48550/ARXIV.2108.03228">https://doi.org/10.48550/ARXIV.2108.03228</a>.'
  ieee: 'M. Rösler and M. Voit, “Elementary symmetric polynomials and martingales
    for Heckman-Opdam processes,” <i>Contemporary Mathematics</i>, no. 780, pp. 243–262,
    2022, doi: <a href="https://doi.org/10.48550/ARXIV.2108.03228">10.48550/ARXIV.2108.03228</a>.'
  mla: Rösler, Margit, and Michael Voit. “Elementary Symmetric Polynomials and Martingales
    for Heckman-Opdam Processes.” <i>Contemporary Mathematics</i>, no. 780, 2022,
    pp. 243–62, doi:<a href="https://doi.org/10.48550/ARXIV.2108.03228">10.48550/ARXIV.2108.03228</a>.
  short: M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.
conference:
  name: Hypergeometry, integrability and Lie theory
date_created: 2023-01-23T08:31:27Z
date_updated: 2023-01-24T22:16:21Z
department:
- _id: '555'
doi: 10.48550/ARXIV.2108.03228
issue: '780'
language:
- iso: eng
page: 243-262
publication: Contemporary Mathematics
publication_status: published
status: public
title: Elementary symmetric polynomials and martingales for Heckman-Opdam processes
type: journal_article
user_id: '37390'
year: '2022'
...
---
_id: '35479'
author:
- first_name: Nicolas
  full_name: Bellomo, Nicolas
  last_name: Bellomo
- first_name: Nisrine
  full_name: Outada, Nisrine
  last_name: Outada
- first_name: Juan
  full_name: Soler, Juan
  last_name: Soler
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: 'Bellomo N, Outada N, Soler J, Tao Y, Winkler M. Chemotaxis and cross-diffusion
    models in complex environments: Models and analytic problems toward a multiscale
    vision. <i>Mathematical Models &#38; Methods in Applied Sciences</i>. 2022;32:713-792.'
  apa: 'Bellomo, N., Outada, N., Soler, J., Tao, Y., &#38; Winkler, M. (2022). Chemotaxis
    and cross-diffusion models in complex environments: Models and analytic problems
    toward a multiscale vision. <i>Mathematical Models &#38; Methods in Applied Sciences</i>,
    <i>32</i>, 713–792.'
  bibtex: '@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion
    models in complex environments: Models and analytic problems toward a multiscale
    vision.}, volume={32}, journal={Mathematical Models &#38; Methods in Applied Sciences},
    author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan
    and Winkler, Michael}, year={2022}, pages={713–792} }'
  chicago: 'Bellomo, Nicolas, Nisrine Outada, Juan Soler, Youshan Tao, and Michael
    Winkler. “Chemotaxis and Cross-Diffusion Models in Complex Environments: Models
    and Analytic Problems toward a Multiscale Vision.” <i>Mathematical Models &#38;
    Methods in Applied Sciences</i> 32 (2022): 713–92.'
  ieee: 'N. Bellomo, N. Outada, J. Soler, Y. Tao, and M. Winkler, “Chemotaxis and
    cross-diffusion models in complex environments: Models and analytic problems toward
    a multiscale vision.,” <i>Mathematical Models &#38; Methods in Applied Sciences</i>,
    vol. 32, pp. 713–792, 2022.'
  mla: 'Bellomo, Nicolas, et al. “Chemotaxis and Cross-Diffusion Models in Complex
    Environments: Models and Analytic Problems toward a Multiscale Vision.” <i>Mathematical
    Models &#38; Methods in Applied Sciences</i>, vol. 32, 2022, pp. 713–92.'
  short: N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models
    &#38; Methods in Applied Sciences 32 (2022) 713–792.
date_created: 2023-01-09T12:42:07Z
date_updated: 2023-02-01T10:05:54Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        32'
language:
- iso: eng
page: 713-792
publication: Mathematical Models & Methods in Applied Sciences
status: public
title: 'Chemotaxis and cross-diffusion models in complex environments: Models and
  analytic problems toward a multiscale vision.'
type: journal_article
user_id: '15645'
volume: 32
year: '2022'
...
---
_id: '35530'
article_number: '14'
author:
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  last_name: Winkler
citation:
  ama: Lankeit J, Winkler M. Global existence in reaction-diffusion systems with mass
    control under relaxed assumptions merely referring to cross-absorptiva effects.
    <i>Journal of Evolution Equations</i>. 2022;22.
  apa: Lankeit, J., &#38; Winkler, M. (2022). Global existence in reaction-diffusion
    systems with mass control under relaxed assumptions merely referring to cross-absorptiva
    effects. <i>Journal of Evolution Equations</i>, <i>22</i>, Article 14.
  bibtex: '@article{Lankeit_Winkler_2022, title={Global existence in reaction-diffusion
    systems with mass control under relaxed assumptions merely referring to cross-absorptiva
    effects.}, volume={22}, number={14}, journal={Journal of Evolution Equations},
    author={Lankeit, Johannes and Winkler, Michael}, year={2022} }'
  chicago: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion
    Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva
    Effects.” <i>Journal of Evolution Equations</i> 22 (2022).
  ieee: J. Lankeit and M. Winkler, “Global existence in reaction-diffusion systems
    with mass control under relaxed assumptions merely referring to cross-absorptiva
    effects.,” <i>Journal of Evolution Equations</i>, vol. 22, Art. no. 14, 2022.
  mla: Lankeit, Johannes, and Michael Winkler. “Global Existence in Reaction-Diffusion
    Systems with Mass Control under Relaxed Assumptions Merely Referring to Cross-Absorptiva
    Effects.” <i>Journal of Evolution Equations</i>, vol. 22, 14, 2022.
  short: J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).
date_created: 2023-01-09T15:37:36Z
date_updated: 2023-02-01T10:07:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        22'
language:
- iso: eng
publication: Journal of Evolution Equations
status: public
title: Global existence in reaction-diffusion systems with mass control under relaxed
  assumptions merely referring to cross-absorptiva effects.
type: journal_article
user_id: '15645'
volume: 22
year: '2022'
...
---
_id: '35481'
author:
- first_name: Jan
  full_name: Fuhrmann, Jan
  last_name: Fuhrmann
- first_name: Johannes
  full_name: Lankeit, Johannes
  last_name: Lankeit
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Fuhrmann J, Lankeit J, Winkler M. A double critical mass phenomenon in a no-flux-Dirichlet
    Keller-Segel system. <i>Journal de Mathématiques Pures et Appliquées</i>. 2022;162:124-151.
  apa: Fuhrmann, J., Lankeit, J., &#38; Winkler, M. (2022). A double critical mass
    phenomenon in a no-flux-Dirichlet Keller-Segel system. <i>Journal de Mathématiques
    Pures et Appliquées</i>, <i>162</i>, 124–151.
  bibtex: '@article{Fuhrmann_Lankeit_Winkler_2022, title={A double critical mass phenomenon
    in a no-flux-Dirichlet Keller-Segel system.}, volume={162}, journal={Journal de
    Mathématiques Pures et Appliquées}, author={Fuhrmann, Jan and Lankeit, Johannes
    and Winkler, Michael}, year={2022}, pages={124–151} }'
  chicago: 'Fuhrmann, Jan, Johannes Lankeit, and Michael Winkler. “A Double Critical
    Mass Phenomenon in a No-Flux-Dirichlet Keller-Segel System.” <i>Journal de Mathématiques
    Pures et Appliquées</i> 162 (2022): 124–51.'
  ieee: J. Fuhrmann, J. Lankeit, and M. Winkler, “A double critical mass phenomenon
    in a no-flux-Dirichlet Keller-Segel system.,” <i>Journal de Mathématiques Pures
    et Appliquées</i>, vol. 162, pp. 124–151, 2022.
  mla: Fuhrmann, Jan, et al. “A Double Critical Mass Phenomenon in a No-Flux-Dirichlet
    Keller-Segel System.” <i>Journal de Mathématiques Pures et Appliquées</i>, vol.
    162, 2022, pp. 124–51.
  short: J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées
    162 (2022) 124–151.
date_created: 2023-01-09T12:45:23Z
date_updated: 2023-02-01T09:57:48Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '       162'
language:
- iso: eng
page: 124-151
publication: Journal de Mathématiques Pures et Appliquées
status: public
title: A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.
type: journal_article
user_id: '15645'
volume: 162
year: '2022'
...
---
_id: '35565'
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Zhaoyin
  full_name: Xiang, Zhaoyin
  last_name: Xiang
citation:
  ama: Wang Y, Winkler M, Xiang Z. A smallness condition ensuring boundedness in a
    two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions
    for the signal. <i>Acta Mathematica Sinica (English Series)</i>. 2022;38:985-1001.
  apa: Wang, Y., Winkler, M., &#38; Xiang, Z. (2022). A smallness condition ensuring
    boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet
    boundary conditions for the signal. <i>Acta Mathematica Sinica (English Series)</i>,
    <i>38</i>, 985–1001.
  bibtex: '@article{Wang_Winkler_Xiang_2022, title={A smallness condition ensuring
    boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet
    boundary conditions for the signal.}, volume={38}, journal={Acta Mathematica Sinica
    (English Series)}, author={Wang, Yulan and Winkler, Michael and Xiang, Zhaoyin},
    year={2022}, pages={985–1001} }'
  chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “A Smallness Condition
    Ensuring Boundedness in a Two-Dimensional Chemotaxis-Navier-Stokes System Involving
    Dirichlet Boundary Conditions for the Signal.” <i>Acta Mathematica Sinica (English
    Series)</i> 38 (2022): 985–1001.'
  ieee: Y. Wang, M. Winkler, and Z. Xiang, “A smallness condition ensuring boundedness
    in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary
    conditions for the signal.,” <i>Acta Mathematica Sinica (English Series)</i>,
    vol. 38, pp. 985–1001, 2022.
  mla: Wang, Yulan, et al. “A Smallness Condition Ensuring Boundedness in a Two-Dimensional
    Chemotaxis-Navier-Stokes System Involving Dirichlet Boundary Conditions for the
    Signal.” <i>Acta Mathematica Sinica (English Series)</i>, vol. 38, 2022, pp. 985–1001.
  short: Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38
    (2022) 985–1001.
date_created: 2023-01-09T16:25:05Z
date_updated: 2023-02-01T10:32:20Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        38'
language:
- iso: eng
page: 985-1001
publication: Acta Mathematica Sinica (English Series)
status: public
title: A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes
  system involving Dirichlet boundary conditions for the signal.
type: journal_article
user_id: '15645'
volume: 38
year: '2022'
...
---
_id: '35560'
author:
- first_name: Yulan
  full_name: Wang, Yulan
  last_name: Wang
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
- first_name: Zhaoyin
  full_name: Xiang, Zhaoyin
  last_name: Xiang
citation:
  ama: Wang Y, Winkler M, Xiang Z. Global mass-preserving solutions to a chemotaxis-fluid
    model involving Dirichlet boundary conditions for the signal. <i>Analysis and
    Applications</i>. 2022;20:141-170.
  apa: Wang, Y., Winkler, M., &#38; Xiang, Z. (2022). Global mass-preserving solutions
    to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.
    <i>Analysis and Applications</i>, <i>20</i>, 141–170.
  bibtex: '@article{Wang_Winkler_Xiang_2022, title={Global mass-preserving solutions
    to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.},
    volume={20}, journal={Analysis and Applications}, author={Wang, Yulan and Winkler,
    Michael and Xiang, Zhaoyin}, year={2022}, pages={141–170} }'
  chicago: 'Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Mass-Preserving
    Solutions to a Chemotaxis-Fluid Model Involving Dirichlet Boundary Conditions
    for the Signal.” <i>Analysis and Applications</i> 20 (2022): 141–70.'
  ieee: Y. Wang, M. Winkler, and Z. Xiang, “Global mass-preserving solutions to a
    chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.,”
    <i>Analysis and Applications</i>, vol. 20, pp. 141–170, 2022.
  mla: Wang, Yulan, et al. “Global Mass-Preserving Solutions to a Chemotaxis-Fluid
    Model Involving Dirichlet Boundary Conditions for the Signal.” <i>Analysis and
    Applications</i>, vol. 20, 2022, pp. 141–70.
  short: Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170.
date_created: 2023-01-09T16:21:59Z
date_updated: 2023-02-01T10:29:44Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        20'
language:
- iso: eng
page: 141-170
publication: Analysis and Applications
status: public
title: Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet
  boundary conditions for the signal.
type: journal_article
user_id: '15645'
volume: 20
year: '2022'
...
---
_id: '40053'
author:
- first_name: P.
  full_name: Graczyk, P.
  last_name: Graczyk
- first_name: Tomasz
  full_name: Luks, Tomasz
  id: '58312'
  last_name: Luks
- first_name: P.
  full_name: Sawyer, P.
  last_name: Sawyer
citation:
  ama: Graczyk P, Luks T, Sawyer P. Potential kernels for radial Dunkl Laplacians.
    <i>Canadian Journal of Mathematics</i>. 2022;74(4):1005-1033. doi:<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>
  apa: Graczyk, P., Luks, T., &#38; Sawyer, P. (2022). Potential kernels for radial
    Dunkl Laplacians. <i>Canadian Journal of Mathematics</i>, <i>74</i>(4), 1005–1033.
    <a href="https://doi.org/10.4153/s0008414x21000195">https://doi.org/10.4153/s0008414x21000195</a>
  bibtex: '@article{Graczyk_Luks_Sawyer_2022, title={Potential kernels for radial
    Dunkl Laplacians}, volume={74}, DOI={<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>},
    number={4}, journal={Canadian Journal of Mathematics}, publisher={Canadian Mathematical
    Society}, author={Graczyk, P. and Luks, Tomasz and Sawyer, P.}, year={2022}, pages={1005–1033}
    }'
  chicago: 'Graczyk, P., Tomasz Luks, and P. Sawyer. “Potential Kernels for Radial
    Dunkl Laplacians.” <i>Canadian Journal of Mathematics</i> 74, no. 4 (2022): 1005–33.
    <a href="https://doi.org/10.4153/s0008414x21000195">https://doi.org/10.4153/s0008414x21000195</a>.'
  ieee: 'P. Graczyk, T. Luks, and P. Sawyer, “Potential kernels for radial Dunkl Laplacians,”
    <i>Canadian Journal of Mathematics</i>, vol. 74, no. 4, pp. 1005–1033, 2022, doi:
    <a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>.'
  mla: Graczyk, P., et al. “Potential Kernels for Radial Dunkl Laplacians.” <i>Canadian
    Journal of Mathematics</i>, vol. 74, no. 4, Canadian Mathematical Society, 2022,
    pp. 1005–33, doi:<a href="https://doi.org/10.4153/s0008414x21000195">10.4153/s0008414x21000195</a>.
  short: P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022)
    1005–1033.
date_created: 2023-01-25T15:13:06Z
date_updated: 2023-01-26T17:18:50Z
department:
- _id: '555'
doi: 10.4153/s0008414x21000195
intvolume: '        74'
issue: '4'
language:
- iso: eng
page: 1005-1033
publication: Canadian Journal of Mathematics
publication_identifier:
  issn:
  - 0008-414X
  - 1496-4279
publication_status: published
publisher: Canadian Mathematical Society
status: public
title: Potential kernels for radial Dunkl Laplacians
type: journal_article
user_id: '58312'
volume: 74
year: '2022'
...
---
_id: '35556'
author:
- first_name: Youshan
  full_name: Tao, Youshan
  last_name: Tao
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: 'Tao Y, Winkler M. Asymptotic stability of spatial homogeneity in a haptotaxis
    model for oncolytic virotherapy. <i>Proceedings of the Royal Society of Edinburgh
    Section A: Mathematics</i>. 2022;152:81-101.'
  apa: 'Tao, Y., &#38; Winkler, M. (2022). Asymptotic stability of spatial homogeneity
    in a haptotaxis model for oncolytic virotherapy. <i>Proceedings of the Royal Society
    of Edinburgh Section A: Mathematics</i>, <i>152</i>, 81–101.'
  bibtex: '@article{Tao_Winkler_2022, title={Asymptotic stability of spatial homogeneity
    in a haptotaxis model for oncolytic virotherapy.}, volume={152}, journal={Proceedings
    of the Royal Society of Edinburgh Section A: Mathematics}, author={Tao, Youshan
    and Winkler, Michael}, year={2022}, pages={81–101} }'
  chicago: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity
    in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Proceedings of the Royal
    Society of Edinburgh Section A: Mathematics</i> 152 (2022): 81–101.'
  ieee: 'Y. Tao and M. Winkler, “Asymptotic stability of spatial homogeneity in a
    haptotaxis model for oncolytic virotherapy.,” <i>Proceedings of the Royal Society
    of Edinburgh Section A: Mathematics</i>, vol. 152, pp. 81–101, 2022.'
  mla: 'Tao, Youshan, and Michael Winkler. “Asymptotic Stability of Spatial Homogeneity
    in a Haptotaxis Model for Oncolytic Virotherapy.” <i>Proceedings of the Royal
    Society of Edinburgh Section A: Mathematics</i>, vol. 152, 2022, pp. 81–101.'
  short: 'Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section
    A: Mathematics 152 (2022) 81–101.'
date_created: 2023-01-09T16:16:07Z
date_updated: 2023-02-01T10:16:04Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '       152'
language:
- iso: eng
page: 81-101
publication: 'Proceedings of the Royal Society of Edinburgh Section A: Mathematics'
status: public
title: Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic
  virotherapy.
type: journal_article
user_id: '15645'
volume: 152
year: '2022'
...
---
_id: '35532'
author:
- first_name: Genglin
  full_name: Li, Genglin
  last_name: Li
- first_name: Michael
  full_name: Winkler, Michael
  id: '31496'
  last_name: Winkler
citation:
  ama: Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis
    system . <i>Communications on Pure and Applied Analysis</i>. 2022;21:687-784.
  apa: Li, G., &#38; Winkler, M. (2022). Nonnegative solutions to a doubly degenerate
    nutrient taxis system . <i>Communications on Pure and Applied Analysis</i>, <i>21</i>,
    687–784.
  bibtex: '@article{Li_Winkler_2022, title={Nonnegative solutions to a doubly degenerate
    nutrient taxis system }, volume={21}, journal={Communications on Pure and Applied
    Analysis}, author={Li, Genglin and Winkler, Michael}, year={2022}, pages={687–784}
    }'
  chicago: 'Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate
    Nutrient Taxis System .” <i>Communications on Pure and Applied Analysis</i> 21
    (2022): 687–784.'
  ieee: G. Li and M. Winkler, “Nonnegative solutions to a doubly degenerate nutrient
    taxis system ,” <i>Communications on Pure and Applied Analysis</i>, vol. 21, pp.
    687–784, 2022.
  mla: Li, Genglin, and Michael Winkler. “Nonnegative Solutions to a Doubly Degenerate
    Nutrient Taxis System .” <i>Communications on Pure and Applied Analysis</i>, vol.
    21, 2022, pp. 687–784.
  short: G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022)
    687–784.
date_created: 2023-01-09T15:51:29Z
date_updated: 2023-02-01T10:09:37Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
intvolume: '        21'
language:
- iso: eng
page: 687-784
publication: Communications on Pure and Applied Analysis
status: public
title: 'Nonnegative solutions to a doubly degenerate nutrient taxis system '
type: journal_article
user_id: '15645'
volume: 21
year: '2022'
...
---
_id: '34677'
article_number: '96'
author:
- first_name: Tobias
  full_name: Black, Tobias
  id: '23686'
  last_name: Black
  orcid: 0000-0001-9963-0800
- first_name: Chunyan
  full_name: Wu, Chunyan
  last_name: Wu
citation:
  ama: 'Black T, Wu C. Prescribed signal concentration on the boundary: eventual smoothness
    in a chemotaxis-Navier–Stokes system with logistic proliferation. <i>Calculus
    of Variations and Partial Differential Equations</i>. 2022;61(3). doi:<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>'
  apa: 'Black, T., &#38; Wu, C. (2022). Prescribed signal concentration on the boundary:
    eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation.
    <i>Calculus of Variations and Partial Differential Equations</i>, <i>61</i>(3),
    Article 96. <a href="https://doi.org/10.1007/s00526-022-02201-y">https://doi.org/10.1007/s00526-022-02201-y</a>'
  bibtex: '@article{Black_Wu_2022, title={Prescribed signal concentration on the boundary:
    eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation},
    volume={61}, DOI={<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>},
    number={396}, journal={Calculus of Variations and Partial Differential Equations},
    publisher={Springer Science and Business Media LLC}, author={Black, Tobias and
    Wu, Chunyan}, year={2022} }'
  chicago: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the
    Boundary: Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic
    Proliferation.” <i>Calculus of Variations and Partial Differential Equations</i>
    61, no. 3 (2022). <a href="https://doi.org/10.1007/s00526-022-02201-y">https://doi.org/10.1007/s00526-022-02201-y</a>.'
  ieee: 'T. Black and C. Wu, “Prescribed signal concentration on the boundary: eventual
    smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation,”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no.
    3, Art. no. 96, 2022, doi: <a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>.'
  mla: 'Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary:
    Eventual Smoothness in a Chemotaxis-Navier–Stokes System with Logistic Proliferation.”
    <i>Calculus of Variations and Partial Differential Equations</i>, vol. 61, no.
    3, 96, Springer Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s00526-022-02201-y">10.1007/s00526-022-02201-y</a>.'
  short: T. Black, C. Wu, Calculus of Variations and Partial Differential Equations
    61 (2022).
date_created: 2022-12-21T09:50:59Z
date_updated: 2023-07-10T11:37:27Z
department:
- _id: '34'
- _id: '10'
- _id: '90'
doi: 10.1007/s00526-022-02201-y
intvolume: '        61'
issue: '3'
keyword:
- Applied Mathematics
- Analysis
language:
- iso: eng
publication: Calculus of Variations and Partial Differential Equations
publication_identifier:
  issn:
  - 0944-2669
  - 1432-0835
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Prescribed signal concentration on the boundary: eventual smoothness in a
  chemotaxis-Navier–Stokes system with logistic proliferation'
type: journal_article
user_id: '23686'
volume: 61
year: '2022'
...
---
_id: '64570'
article_number: '9'
author:
- first_name: Martin
  full_name: Olbrich, Martin
  last_name: Olbrich
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
citation:
  ama: Olbrich M, Palmirotta G. Delorme’s intertwining conditions for sections of
    homogeneous vector bundles on two- and three-dimensional hyperbolic spaces. <i>Annals
    of Global Analysis and Geometry</i>. 2022;63(1). doi:<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>
  apa: Olbrich, M., &#38; Palmirotta, G. (2022). Delorme’s intertwining conditions
    for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic
    spaces. <i>Annals of Global Analysis and Geometry</i>, <i>63</i>(1), Article 9.
    <a href="https://doi.org/10.1007/s10455-022-09882-w">https://doi.org/10.1007/s10455-022-09882-w</a>
  bibtex: '@article{Olbrich_Palmirotta_2022, title={Delorme’s intertwining conditions
    for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic
    spaces}, volume={63}, DOI={<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>},
    number={19}, journal={Annals of Global Analysis and Geometry}, publisher={Springer
    Science and Business Media LLC}, author={Olbrich, Martin and Palmirotta, Guendalina},
    year={2022} }'
  chicago: Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions
    for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic
    Spaces.” <i>Annals of Global Analysis and Geometry</i> 63, no. 1 (2022). <a href="https://doi.org/10.1007/s10455-022-09882-w">https://doi.org/10.1007/s10455-022-09882-w</a>.
  ieee: 'M. Olbrich and G. Palmirotta, “Delorme’s intertwining conditions for sections
    of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces,”
    <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, Art. no. 9, 2022,
    doi: <a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>.'
  mla: Olbrich, Martin, and Guendalina Palmirotta. “Delorme’s Intertwining Conditions
    for Sections of Homogeneous Vector Bundles on Two- and Three-Dimensional Hyperbolic
    Spaces.” <i>Annals of Global Analysis and Geometry</i>, vol. 63, no. 1, 9, Springer
    Science and Business Media LLC, 2022, doi:<a href="https://doi.org/10.1007/s10455-022-09882-w">10.1007/s10455-022-09882-w</a>.
  short: M. Olbrich, G. Palmirotta, Annals of Global Analysis and Geometry 63 (2022).
date_created: 2026-02-20T20:02:50Z
date_updated: 2026-02-20T20:03:38Z
department:
- _id: '10'
- _id: '548'
doi: 10.1007/s10455-022-09882-w
extern: '1'
intvolume: '        63'
issue: '1'
language:
- iso: eng
publication: Annals of Global Analysis and Geometry
publication_identifier:
  issn:
  - 0232-704X
  - 1572-9060
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Delorme’s intertwining conditions for sections of homogeneous vector bundles
  on two- and three-dimensional hyperbolic spaces
type: journal_article
user_id: '109467'
volume: 63
year: '2022'
...
---
_id: '64571'
abstract:
- lang: eng
  text: We study the Fourier transform for compactly supported distributional sections
    of complex homogeneous vector bundles on symmetric spaces of non-compact type
    $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's
    Paley-Wiener theorem for compactly supported smooth functions on a real reductive
    group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz
    theorems for sections.
author:
- first_name: Martin
  full_name: Olbrich, Martin
  last_name: Olbrich
- first_name: Guendalina
  full_name: Palmirotta, Guendalina
  id: '109467'
  last_name: Palmirotta
citation:
  ama: Olbrich M, Palmirotta G. A topological Paley-Wiener-Schwartz Theorem for sections
    of homogeneous vector bundles on $G/K$. <i>Journal of Lie theory</i>. 2022;34(2):53--384.
  apa: Olbrich, M., &#38; Palmirotta, G. (2022). A topological Paley-Wiener-Schwartz
    Theorem for sections of homogeneous vector bundles on $G/K$. <i>Journal of Lie
    Theory</i>, <i>34</i>(2), 53--384.
  bibtex: '@article{Olbrich_Palmirotta_2022, title={A topological Paley-Wiener-Schwartz
    Theorem for sections of homogeneous vector bundles on $G/K$}, volume={34}, number={2},
    journal={Journal of Lie theory}, publisher={Heldermann Verlag}, author={Olbrich,
    Martin and Palmirotta, Guendalina}, year={2022}, pages={53--384} }'
  chicago: 'Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz
    Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie
    Theory</i> 34, no. 2 (2022): 53--384.'
  ieee: M. Olbrich and G. Palmirotta, “A topological Paley-Wiener-Schwartz Theorem
    for sections of homogeneous vector bundles on $G/K$,” <i>Journal of Lie theory</i>,
    vol. 34, no. 2, pp. 53--384, 2022.
  mla: Olbrich, Martin, and Guendalina Palmirotta. “A Topological Paley-Wiener-Schwartz
    Theorem for Sections of Homogeneous Vector Bundles on $G/K$.” <i>Journal of Lie
    Theory</i>, vol. 34, no. 2, Heldermann Verlag, 2022, pp. 53--384.
  short: M. Olbrich, G. Palmirotta, Journal of Lie Theory 34 (2022) 53--384.
date_created: 2026-02-20T20:04:49Z
date_updated: 2026-02-20T20:07:31Z
department:
- _id: '10'
- _id: '548'
extern: '1'
external_id:
  arxiv:
  - '2202.06905'
intvolume: '        34'
issue: '2'
language:
- iso: eng
page: 53--384
publication: Journal of Lie theory
publication_status: published
publisher: Heldermann Verlag
status: public
title: A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector
  bundles on $G/K$
type: journal_article
user_id: '109467'
volume: 34
year: '2022'
...
---
_id: '51385'
author:
- first_name: Joachim
  full_name: Hilgert, Joachim
  id: '220'
  last_name: Hilgert
- first_name: Tobias
  full_name: Weich, Tobias
  id: '49178'
  last_name: Weich
  orcid: 0000-0002-9648-6919
- first_name: K.-U.
  full_name: Bux, K.-U.
  last_name: Bux
citation:
  ama: Hilgert J, Weich T, Bux K-U. Poisson transforms for trees of bounded degree.
    <i>J of Spectral Theory</i>. 2022;12:659-681.
  apa: Hilgert, J., Weich, T., &#38; Bux, K.-U. (2022). Poisson transforms for trees
    of bounded degree. <i>J. of Spectral Theory</i>, <i>12</i>, 659–681.
  bibtex: '@article{Hilgert_Weich_Bux_2022, title={Poisson transforms for trees of
    bounded degree}, volume={12}, journal={J. of Spectral Theory}, author={Hilgert,
    Joachim and Weich, Tobias and Bux, K.-U.}, year={2022}, pages={659–681} }'
  chicago: 'Hilgert, Joachim, Tobias Weich, and K.-U. Bux. “Poisson Transforms for
    Trees of Bounded Degree.” <i>J. of Spectral Theory</i> 12 (2022): 659–81.'
  ieee: J. Hilgert, T. Weich, and K.-U. Bux, “Poisson transforms for trees of bounded
    degree,” <i>J. of Spectral Theory</i>, vol. 12, pp. 659–681, 2022.
  mla: Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.”
    <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.
  short: J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.
date_created: 2024-02-19T06:36:17Z
date_updated: 2026-03-31T08:25:35Z
department:
- _id: '91'
intvolume: '        12'
language:
- iso: eng
page: 659-681
publication: J. of Spectral Theory
publication_status: published
status: public
title: Poisson transforms for trees of bounded degree
type: journal_article
user_id: '220'
volume: 12
year: '2022'
...
---
_id: '32016'
article_type: original
author:
- first_name: Benjamin
  full_name: Delarue, Benjamin
  id: '70575'
  last_name: Delarue
- first_name: Pablo
  full_name: Ramacher, Pablo
  last_name: Ramacher
citation:
  ama: Delarue B, Ramacher P. Asymptotic expansion of generalized Witten integrals
    for Hamiltonian circle actions. <i>Journal of Symplectic Geometry</i>. 2021;19(6):1281-1337.
    doi:<a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">10.4310/JSG.2021.v19.n6.a1</a>
  apa: Delarue, B., &#38; Ramacher, P. (2021). Asymptotic expansion of generalized
    Witten integrals for Hamiltonian circle actions. <i>Journal of Symplectic Geometry</i>,
    <i>19</i>(6), 1281–1337. <a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">https://doi.org/10.4310/JSG.2021.v19.n6.a1</a>
  bibtex: '@article{Delarue_Ramacher_2021, title={Asymptotic expansion of generalized
    Witten integrals for Hamiltonian circle actions}, volume={19}, DOI={<a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">10.4310/JSG.2021.v19.n6.a1</a>},
    number={6}, journal={Journal of Symplectic Geometry}, author={Delarue, Benjamin
    and Ramacher, Pablo}, year={2021}, pages={1281–1337} }'
  chicago: 'Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized
    Witten Integrals for Hamiltonian Circle Actions.” <i>Journal of Symplectic Geometry</i>
    19, no. 6 (2021): 1281–1337. <a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">https://doi.org/10.4310/JSG.2021.v19.n6.a1</a>.'
  ieee: 'B. Delarue and P. Ramacher, “Asymptotic expansion of generalized Witten integrals
    for Hamiltonian circle actions,” <i>Journal of Symplectic Geometry</i>, vol. 19,
    no. 6, pp. 1281–1337, 2021, doi: <a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">10.4310/JSG.2021.v19.n6.a1</a>.'
  mla: Delarue, Benjamin, and Pablo Ramacher. “Asymptotic Expansion of Generalized
    Witten Integrals for Hamiltonian Circle Actions.” <i>Journal of Symplectic Geometry</i>,
    vol. 19, no. 6, 2021, pp. 1281–337, doi:<a href="https://doi.org/10.4310/JSG.2021.v19.n6.a1">10.4310/JSG.2021.v19.n6.a1</a>.
  short: B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.
date_created: 2022-06-20T08:46:56Z
date_updated: 2022-06-21T11:54:50Z
department:
- _id: '548'
doi: 10.4310/JSG.2021.v19.n6.a1
intvolume: '        19'
issue: '6'
language:
- iso: eng
page: 1281 - 1337
publication: Journal of Symplectic Geometry
publication_identifier:
  unknown:
  - 1540-2347
  - 1527-5256
publication_status: published
status: public
title: Asymptotic expansion of generalized Witten integrals for Hamiltonian circle
  actions
type: journal_article
user_id: '70575'
volume: 19
year: '2021'
...
---
_id: '34786'
abstract:
- lang: eng
  text: A locally compact contraction group is a pair (G,α), where G is a locally
    compact group and α:G→G an automorphism such that αn(x)→e pointwise as n→∞. We
    show that every surjective, continuous, equivariant homomorphism between locally
    compact contraction groups admits an equivariant continuous global section. As
    a consequence, extensions of locally compact contraction groups with abelian kernel
    can be described by continuous equivariant cohomology. For each prime number p,
    we use 2-cocycles to construct uncountably many pairwise non-isomorphic totally
    disconnected, locally compact contraction groups (G,α) which are central extensions0→Fp((t))→G→Fp((t))→0
    of the additive group of the field of formal Laurent series over Fp=Z/pZ by itself.
    By contrast, there are only countably many locally compact contraction groups
    (up to isomorphism) which are torsion groups and abelian, as follows from a classification
    of the abelian locally compact contraction groups.
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. Decompositions of locally compact contraction groups,
    series and extensions. <i>Journal of Algebra</i>. 2021;570:164-214. doi:<a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>
  apa: Glöckner, H., &#38; Willis, G. A. (2021). Decompositions of locally compact
    contraction groups, series and extensions. <i>Journal of Algebra</i>, <i>570</i>,
    164–214. <a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>
  bibtex: '@article{Glöckner_Willis_2021, title={Decompositions of locally compact
    contraction groups, series and extensions}, volume={570}, DOI={<a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>},
    journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.},
    year={2021}, pages={164–214} }'
  chicago: 'Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact
    Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i> 570 (2021):
    164–214. <a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.'
  ieee: 'H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction
    groups, series and extensions,” <i>Journal of Algebra</i>, vol. 570, pp. 164–214,
    2021, doi: <a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.'
  mla: Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction
    Groups, Series and Extensions.” <i>Journal of Algebra</i>, vol. 570, 2021, pp.
    164–214, doi:<a href="https://doi.org/10.1016/j.jalgebra.2020.11.007">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.
  short: H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.
date_created: 2022-12-21T18:43:08Z
date_updated: 2022-12-21T18:58:44Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: https://doi.org/10.1016/j.jalgebra.2020.11.007
intvolume: '       570'
keyword:
- Contraction group
- Torsion group
- Extension
- Cocycle
- Section
- Equivariant cohomology
- Abelian group
- Nilpotent group
- Isomorphism types
language:
- iso: eng
page: 164-214
publication: Journal of Algebra
publication_identifier:
  issn:
  - 0021-8693
quality_controlled: '1'
status: public
title: Decompositions of locally compact contraction groups, series and extensions
type: journal_article
user_id: '178'
volume: 570
year: '2021'
...
---
_id: '34795'
article_type: original
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Direct limits of regular Lie groups. <i>Mathematische Nachrichten</i>.
    2021;294(1):74–81. doi:<a href="https://doi.org/10.1002/mana.201900073">10.1002/mana.201900073</a>
  apa: Glöckner, H. (2021). Direct limits of regular Lie groups. <i>Mathematische
    Nachrichten</i>, <i>294</i>(1), 74–81. <a href="https://doi.org/10.1002/mana.201900073">https://doi.org/10.1002/mana.201900073</a>
  bibtex: '@article{Glöckner_2021, title={Direct limits of regular Lie groups}, volume={294},
    DOI={<a href="https://doi.org/10.1002/mana.201900073">10.1002/mana.201900073</a>},
    number={1}, journal={Mathematische Nachrichten}, author={Glöckner, Helge}, year={2021},
    pages={74–81} }'
  chicago: 'Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische
    Nachrichten</i> 294, no. 1 (2021): 74–81. <a href="https://doi.org/10.1002/mana.201900073">https://doi.org/10.1002/mana.201900073</a>.'
  ieee: 'H. Glöckner, “Direct limits of regular Lie groups,” <i>Mathematische Nachrichten</i>,
    vol. 294, no. 1, pp. 74–81, 2021, doi: <a href="https://doi.org/10.1002/mana.201900073">10.1002/mana.201900073</a>.'
  mla: Glöckner, Helge. “Direct Limits of Regular Lie Groups.” <i>Mathematische Nachrichten</i>,
    vol. 294, no. 1, 2021, pp. 74–81, doi:<a href="https://doi.org/10.1002/mana.201900073">10.1002/mana.201900073</a>.
  short: H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.
date_created: 2022-12-21T19:57:32Z
date_updated: 2022-12-21T20:00:29Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
doi: 10.1002/mana.201900073
intvolume: '       294'
issue: '1'
language:
- iso: eng
page: 74–81
publication: Mathematische Nachrichten
publication_identifier:
  issn:
  - 0025-584X
quality_controlled: '1'
status: public
title: Direct limits of regular Lie groups
type: journal_article
user_id: '178'
volume: 294
year: '2021'
...
---
_id: '34806'
abstract:
- lang: eng
  text: "Let $G$ be a Lie group over a totally disconnected local field and $\\alpha$\r\nbe
    an analytic endomorphism of $G$. The contraction group of $\\alpha$ ist the\r\nset
    of all $x\\in G$ such that $\\alpha^n(x)\\to e$ as $n\\to\\infty$. Call sequence\r\n$(x_{-n})_{n\\geq
    0}$ in $G$ an $\\alpha$-regressive trajectory for $x\\in G$ if\r\n$\\alpha(x_{-n})=x_{-n+1}$
    for all $n\\geq 1$ and $x_0=x$. The anti-contraction\r\ngroup of $\\alpha$ is
    the set of all $x\\in G$ admitting an $\\alpha$-regressive\r\ntrajectory $(x_{-n})_{n\\geq
    0}$ such that $x_{-n}\\to e$ as $n\\to\\infty$. The\r\nLevi subgroup is the set
    of all $x\\in G$ whose $\\alpha$-orbit is relatively\r\ncompact, and such that
    $x$ admits an $\\alpha$-regressive trajectory\r\n$(x_{-n})_{n\\geq 0}$ such that
    $\\{x_{-n}\\colon n\\geq 0\\}$ is relatively\r\ncompact. The big cell associated
    to $\\alpha$ is the set $\\Omega$ of all all\r\nproducts $xyz$ with $x$ in the
    contraction group, $y$ in the Levi subgroup and\r\n$z$ in the anti-contraction
    group. Let $\\pi$ be the mapping from the cartesian\r\nproduct of the contraction
    group, Levi subgroup and anti-contraction group to\r\n$\\Omega$ which maps $(x,y,z)$
    to $xyz$. We show: $\\Omega$ is open in $G$ and\r\n$\\pi$ is \\'{e}tale for suitable
    immersed Lie subgroup structures on the three\r\nsubgroups just mentioned. Moreover,
    we study group-theoretic properties of\r\ncontraction groups and anti-contraction
    groups."
author:
- first_name: Helge
  full_name: Glöckner, Helge
  id: '178'
  last_name: Glöckner
citation:
  ama: Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups
    over  local fields. <i>arXiv:210102981</i>. Published online 2021.
  apa: Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms
    of Lie groups over  local fields. In <i>arXiv:2101.02981</i>.
  bibtex: '@article{Glöckner_2021, title={Contraction groups and the big cell for
    endomorphisms of Lie groups over  local fields}, journal={arXiv:2101.02981}, author={Glöckner,
    Helge}, year={2021} }'
  chicago: Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms
    of Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.
  ieee: H. Glöckner, “Contraction groups and the big cell for endomorphisms of Lie
    groups over  local fields,” <i>arXiv:2101.02981</i>. 2021.
  mla: Glöckner, Helge. “Contraction Groups and the Big Cell for Endomorphisms of
    Lie Groups over  Local Fields.” <i>ArXiv:2101.02981</i>, 2021.
  short: H. Glöckner, ArXiv:2101.02981 (2021).
date_created: 2022-12-22T07:47:35Z
date_updated: 2022-12-22T07:48:29Z
department:
- _id: '10'
- _id: '87'
- _id: '93'
external_id:
  arxiv:
  - '2101.02981'
language:
- iso: eng
publication: arXiv:2101.02981
status: public
title: Contraction groups and the big cell for endomorphisms of Lie groups over  local
  fields
type: preprint
user_id: '178'
year: '2021'
...
---
_id: '31058'
abstract:
- lang: eng
  text: 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 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.
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
- first_name: Benjamin
  full_name: Delarue, Benjamin
  last_name: Delarue
citation:
  ama: Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle
    scattering via smooth models. Published online 2021.
  apa: Schütte, P., Weich, T., &#38; Delarue, B. (2021). <i>Resonances and weighted
    zeta functions for obstacle scattering via smooth models</i>.
  bibtex: '@article{Schütte_Weich_Delarue_2021, title={Resonances and weighted zeta
    functions for obstacle scattering via smooth models}, author={Schütte, Philipp
    and Weich, Tobias and Delarue, Benjamin}, year={2021} }'
  chicago: Schütte, Philipp, Tobias Weich, and Benjamin Delarue. “Resonances and Weighted
    Zeta Functions for Obstacle Scattering via Smooth Models,” 2021.
  ieee: P. Schütte, T. Weich, and B. Delarue, “Resonances and weighted zeta functions
    for obstacle scattering via smooth models.” 2021.
  mla: Schütte, Philipp, et al. <i>Resonances and Weighted Zeta Functions for Obstacle
    Scattering via Smooth Models</i>. 2021.
  short: P. Schütte, T. Weich, B. Delarue, (2021).
date_created: 2022-05-04T12:25:58Z
date_updated: 2022-05-17T12:05:52Z
department:
- _id: '10'
- _id: '548'
external_id:
  arxiv:
  - '2109.05907'
language:
- iso: eng
status: public
title: Resonances and weighted zeta functions for obstacle scattering via smooth models
type: preprint
user_id: '50168'
year: '2021'
...