[{"_id":"35574","user_id":"15645","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Proceedings of the London Mathematical Society","status":"public","date_updated":"2023-01-20T13:17:33Z","author":[{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"date_created":"2023-01-09T16:35:09Z","volume":124,"title":"A family of mass-critical Keller-Segel systems.","year":"2022","citation":{"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} }","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.","ama":"Winkler M. A family of mass-critical Keller-Segel systems. <i>Proceedings of the London Mathematical Society</i>. 2022;124:133-181.","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.","chicago":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” <i>Proceedings of the London Mathematical Society</i> 124 (2022): 133–81."},"page":"133-181","intvolume":"       124"},{"title":"Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.","date_updated":"2023-01-21T09:30:47Z","date_created":"2023-01-09T13:02:46Z","author":[{"first_name":"Kyungkeun","last_name":" Kang","full_name":" Kang, Kyungkeun"},{"first_name":"Jihoon","full_name":"Lee, Jihoon","last_name":"Lee"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"volume":42,"year":"2022","citation":{"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.","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} }","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.","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.","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."},"page":"5201-5222","intvolume":"        42","language":[{"iso":"eng"}],"_id":"35483","user_id":"15645","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"status":"public","type":"journal_article","publication":"Discrete and Continuous Dynamical Systems"},{"year":"2022","page":"243-262","citation":{"short":"M. Rösler, M. Voit, Contemporary Mathematics (2022) 243–262.","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>.","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} }","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>","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>","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>.","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>."},"publication_status":"published","issue":"780","title":"Elementary symmetric polynomials and martingales for Heckman-Opdam processes","conference":{"name":"Hypergeometry, integrability and Lie theory"},"doi":"10.48550/ARXIV.2108.03228","date_updated":"2023-01-24T22:16:21Z","date_created":"2023-01-23T08:31:27Z","author":[{"full_name":"Rösler, Margit","id":"37390","last_name":"Rösler","first_name":"Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"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 $\\mathbb E(\\prod_{j=1}^N(y-X_{t,j})),$ $y\\in\\mathbb C$."}],"status":"public","publication":"Contemporary Mathematics","type":"journal_article","language":[{"iso":"eng"}],"_id":"38039","department":[{"_id":"555"}],"user_id":"37390"},{"publication":"Mathematical Models & Methods in Applied Sciences","type":"journal_article","status":"public","_id":"35479","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","language":[{"iso":"eng"}],"year":"2022","intvolume":"        32","page":"713-792","citation":{"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} }","short":"N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models &#38; Methods in Applied Sciences 32 (2022) 713–792.","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.","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.","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.","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."},"date_updated":"2023-02-01T10:05:54Z","volume":32,"date_created":"2023-01-09T12:42:07Z","author":[{"first_name":"Nicolas","full_name":"Bellomo, Nicolas","last_name":"Bellomo"},{"first_name":"Nisrine","last_name":"Outada","full_name":"Outada, Nisrine"},{"full_name":"Soler, Juan","last_name":"Soler","first_name":"Juan"},{"first_name":"Youshan","last_name":"Tao","full_name":"Tao, Youshan"},{"last_name":"Winkler","full_name":"Winkler, Michael","first_name":"Michael"}],"title":"Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision."},{"language":[{"iso":"eng"}],"article_number":"14","title":"Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.","author":[{"first_name":"Johannes","full_name":"Lankeit, Johannes","last_name":"Lankeit"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2023-01-09T15:37:36Z","user_id":"15645","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"volume":22,"date_updated":"2023-02-01T10:07:44Z","_id":"35530","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} }","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).","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."},"intvolume":"        22","status":"public","year":"2022","type":"journal_article","publication":"Journal of Evolution Equations"},{"date_updated":"2023-02-01T09:57:48Z","date_created":"2023-01-09T12:45:23Z","author":[{"first_name":"Jan","full_name":"Fuhrmann, Jan","last_name":"Fuhrmann"},{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"full_name":"Winkler, Michael","id":"31496","last_name":"Winkler","first_name":"Michael"}],"volume":162,"title":"A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.","year":"2022","citation":{"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.","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.","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} }","short":"J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.","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."},"page":"124-151","intvolume":"       162","_id":"35481","user_id":"15645","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"language":[{"iso":"eng"}],"type":"journal_article","publication":"Journal de Mathématiques Pures et Appliquées","status":"public"},{"user_id":"15645","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"_id":"35565","language":[{"iso":"eng"}],"type":"journal_article","publication":"Acta Mathematica Sinica (English Series)","status":"public","date_created":"2023-01-09T16:25:05Z","author":[{"last_name":"Wang","full_name":"Wang, Yulan","first_name":"Yulan"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"},{"full_name":"Xiang, Zhaoyin","last_name":"Xiang","first_name":"Zhaoyin"}],"volume":38,"date_updated":"2023-02-01T10:32:20Z","title":"A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.","citation":{"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.","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.","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} }","short":"Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 985–1001.","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.","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.","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."},"intvolume":"        38","page":"985-1001","year":"2022"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","_id":"35560","language":[{"iso":"eng"}],"publication":"Analysis and Applications","type":"journal_article","status":"public","volume":20,"author":[{"first_name":"Yulan","full_name":"Wang, Yulan","last_name":"Wang"},{"first_name":"Michael","full_name":"Winkler, Michael","id":"31496","last_name":"Winkler"},{"full_name":"Xiang, Zhaoyin","last_name":"Xiang","first_name":"Zhaoyin"}],"date_created":"2023-01-09T16:21:59Z","date_updated":"2023-02-01T10:29:44Z","title":"Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.","page":"141-170","intvolume":"        20","citation":{"short":"Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 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} }","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.","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.","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.","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.","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."},"year":"2022"},{"type":"journal_article","publication":"Canadian Journal of Mathematics","status":"public","_id":"40053","user_id":"58312","department":[{"_id":"555"}],"language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"issn":["0008-414X","1496-4279"]},"issue":"4","year":"2022","citation":{"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>.","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} }","short":"P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 1005–1033.","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>","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>.","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>"},"intvolume":"        74","page":"1005-1033","date_updated":"2023-01-26T17:18:50Z","publisher":"Canadian Mathematical Society","author":[{"first_name":"P.","full_name":"Graczyk, P.","last_name":"Graczyk"},{"first_name":"Tomasz","last_name":"Luks","id":"58312","full_name":"Luks, Tomasz"},{"first_name":"P.","last_name":"Sawyer","full_name":"Sawyer, P."}],"date_created":"2023-01-25T15:13:06Z","volume":74,"title":"Potential kernels for radial Dunkl Laplacians","doi":"10.4153/s0008414x21000195"},{"publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","type":"journal_article","status":"public","_id":"35556","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","language":[{"iso":"eng"}],"year":"2022","intvolume":"       152","page":"81-101","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.","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.","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} }","short":"Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.","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.","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."},"date_updated":"2023-02-01T10:16:04Z","volume":152,"author":[{"first_name":"Youshan","full_name":"Tao, Youshan","last_name":"Tao"},{"last_name":"Winkler","full_name":"Winkler, Michael","id":"31496","first_name":"Michael"}],"date_created":"2023-01-09T16:16:07Z","title":"Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy."},{"status":"public","publication":"Communications on Pure and Applied Analysis","type":"journal_article","language":[{"iso":"eng"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"15645","_id":"35532","intvolume":"        21","page":"687-784","citation":{"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.","short":"G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 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} }","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.","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.","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."},"year":"2022","title":"Nonnegative solutions to a doubly degenerate nutrient taxis system ","volume":21,"date_created":"2023-01-09T15:51:29Z","author":[{"first_name":"Genglin","full_name":"Li, Genglin","last_name":"Li"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_updated":"2023-02-01T10:09:37Z"},{"intvolume":"        61","citation":{"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} }","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).","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>","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>."},"year":"2022","issue":"3","publication_identifier":{"issn":["0944-2669","1432-0835"]},"publication_status":"published","doi":"10.1007/s00526-022-02201-y","title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","volume":61,"author":[{"first_name":"Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","id":"23686","full_name":"Black, Tobias"},{"last_name":"Wu","full_name":"Wu, Chunyan","first_name":"Chunyan"}],"date_created":"2022-12-21T09:50:59Z","date_updated":"2023-07-10T11:37:27Z","publisher":"Springer Science and Business Media LLC","status":"public","publication":"Calculus of Variations and Partial Differential Equations","type":"journal_article","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Analysis"],"article_number":"96","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686","_id":"34677"},{"author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"first_name":"Guendalina","last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","id":"109467"}],"date_created":"2026-02-20T20:02:50Z","volume":63,"publisher":"Springer Science and Business Media LLC","date_updated":"2026-02-20T20:03:38Z","doi":"10.1007/s10455-022-09882-w","title":"Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces","issue":"1","publication_status":"published","publication_identifier":{"issn":["0232-704X","1572-9060"]},"citation":{"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} }","short":"M. Olbrich, G. Palmirotta, Annals of Global Analysis and Geometry 63 (2022).","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>.","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>","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>."},"intvolume":"        63","year":"2022","user_id":"109467","department":[{"_id":"10"},{"_id":"548"}],"_id":"64570","language":[{"iso":"eng"}],"extern":"1","article_number":"9","type":"journal_article","publication":"Annals of Global Analysis and Geometry","status":"public"},{"user_id":"109467","department":[{"_id":"10"},{"_id":"548"}],"_id":"64571","extern":"1","type":"journal_article","status":"public","author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"first_name":"Guendalina","last_name":"Palmirotta","id":"109467","full_name":"Palmirotta, Guendalina"}],"volume":34,"date_updated":"2026-02-20T20:07:31Z","publication_status":"published","citation":{"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} }","short":"M. Olbrich, G. Palmirotta, Journal of Lie Theory 34 (2022) 53--384.","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.","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.","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.","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."},"intvolume":"        34","page":"53--384","external_id":{"arxiv":["2202.06905"]},"language":[{"iso":"eng"}],"publication":"Journal of Lie theory","abstract":[{"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.","lang":"eng"}],"date_created":"2026-02-20T20:04:49Z","publisher":"Heldermann Verlag","title":"A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$","issue":"2","year":"2022"},{"date_updated":"2026-03-31T08:25:35Z","volume":12,"date_created":"2024-02-19T06:36:17Z","author":[{"first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220","last_name":"Hilgert"},{"full_name":"Weich, Tobias","id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich","first_name":"Tobias"},{"first_name":"K.-U.","last_name":"Bux","full_name":"Bux, K.-U."}],"title":"Poisson transforms for trees of bounded degree","publication_status":"published","year":"2022","page":"659-681","intvolume":"        12","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.","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.","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.","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} }","short":"J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 659–681.","mla":"Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.","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."},"_id":"51385","department":[{"_id":"91"}],"user_id":"220","language":[{"iso":"eng"}],"publication":"J. of Spectral Theory","type":"journal_article","status":"public"},{"type":"journal_article","publication":"Journal of Symplectic Geometry","status":"public","_id":"32016","user_id":"70575","department":[{"_id":"548"}],"article_type":"original","language":[{"iso":"eng"}],"publication_status":"published","publication_identifier":{"unknown":["1540-2347","1527-5256"]},"issue":"6","year":"2021","citation":{"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>","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>.","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} }","short":"B. Delarue, P. Ramacher, Journal of Symplectic Geometry 19 (2021) 1281–1337.","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>.","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>.","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>"},"page":"1281 - 1337","intvolume":"        19","date_updated":"2022-06-21T11:54:50Z","date_created":"2022-06-20T08:46:56Z","author":[{"last_name":"Delarue","id":"70575","full_name":"Delarue, Benjamin","first_name":"Benjamin"},{"first_name":"Pablo","last_name":"Ramacher","full_name":"Ramacher, Pablo"}],"volume":19,"title":"Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions","doi":"10.4310/JSG.2021.v19.n6.a1"},{"language":[{"iso":"eng"}],"keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"publication":"Journal of Algebra","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."}],"date_created":"2022-12-21T18:43:08Z","title":"Decompositions of locally compact contraction groups, series and extensions","quality_controlled":"1","year":"2021","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","_id":"34786","article_type":"original","type":"journal_article","status":"public","volume":570,"author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"},{"last_name":"Willis","full_name":"Willis, George A.","first_name":"George A."}],"date_updated":"2022-12-21T18:58:44Z","doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","publication_identifier":{"issn":["0021-8693"]},"intvolume":"       570","page":"164-214","citation":{"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>.","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>","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.","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} }"}},{"title":"Direct limits of regular Lie groups","doi":"10.1002/mana.201900073","date_updated":"2022-12-21T20:00:29Z","author":[{"first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge","id":"178"}],"date_created":"2022-12-21T19:57:32Z","volume":294,"year":"2021","citation":{"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>","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>.","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} }","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","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>","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>."},"intvolume":"       294","page":"74–81","quality_controlled":"1","publication_identifier":{"issn":["0025-584X"]},"issue":"1","article_type":"original","language":[{"iso":"eng"}],"_id":"34795","user_id":"178","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"status":"public","type":"journal_article","publication":"Mathematische Nachrichten"},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2101.02981"]},"_id":"34806","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"user_id":"178","abstract":[{"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.","lang":"eng"}],"status":"public","publication":"arXiv:2101.02981","type":"preprint","title":"Contraction groups and the big cell for endomorphisms of Lie groups over  local fields","date_updated":"2022-12-22T07:48:29Z","date_created":"2022-12-22T07:47:35Z","author":[{"full_name":"Glöckner, Helge","id":"178","last_name":"Glöckner","first_name":"Helge"}],"year":"2021","citation":{"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} }","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).","apa":"Glöckner, H. (2021). Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. In <i>arXiv:2101.02981</i>.","ama":"Glöckner H. Contraction groups and the big cell for endomorphisms of Lie groups over  local fields. <i>arXiv:210102981</i>. Published online 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."}},{"year":"2021","citation":{"ama":"Schütte P, Weich T, Delarue B. Resonances and weighted zeta functions for obstacle scattering via smooth models. Published online 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.","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} }","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_updated":"2022-05-17T12:05:52Z","date_created":"2022-05-04T12:25:58Z","author":[{"last_name":"Schütte","full_name":"Schütte, Philipp","id":"50168","first_name":"Philipp"},{"first_name":"Tobias","full_name":"Weich, Tobias","id":"49178","orcid":"0000-0002-9648-6919","last_name":"Weich"},{"first_name":"Benjamin","full_name":"Delarue, Benjamin","last_name":"Delarue"}],"title":"Resonances and weighted zeta functions for obstacle scattering via smooth models","type":"preprint","abstract":[{"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.","lang":"eng"}],"status":"public","external_id":{"arxiv":["2109.05907"]},"_id":"31058","user_id":"50168","department":[{"_id":"10"},{"_id":"548"}],"language":[{"iso":"eng"}]}]