[{"date_updated":"2023-01-20T13:18:15Z","intvolume":"        35","year":"2022","status":"public","title":"Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary","author":[{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"user_id":"15645","volume":35,"page":"719-749","language":[{"iso":"eng"}],"_id":"35528","publication":"Nonlinearity","citation":{"apa":"Lankeit, J., &#38; Winkler, M. (2022). Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. <i>Nonlinearity</i>, <i>35</i>, 719–749.","ieee":"J. Lankeit and M. Winkler, “Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary,” <i>Nonlinearity</i>, vol. 35, pp. 719–749, 2022.","chicago":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” <i>Nonlinearity</i> 35 (2022): 719–49.","short":"J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.","mla":"Lankeit, Johannes, and Michael Winkler. “Radial Solutions to a Chemotaxis-Consumption Model Involving Prescribed Signal Concentrations on the Boundary.” <i>Nonlinearity</i>, vol. 35, 2022, pp. 719–49.","ama":"Lankeit J, Winkler M. Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary. <i>Nonlinearity</i>. 2022;35:719-749.","bibtex":"@article{Lankeit_Winkler_2022, title={Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary}, volume={35}, journal={Nonlinearity}, author={Lankeit, Johannes and Winkler, Michael}, year={2022}, pages={719–749} }"},"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2023-01-09T15:33:38Z"},{"author":[{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"status":"public","title":"Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.","year":"2022","intvolume":"       389","date_updated":"2023-01-20T13:17:37Z","language":[{"iso":"eng"}],"_id":"35568","page":"439-489","volume":389,"user_id":"15645","citation":{"short":"M. Winkler, Communications in Mathematical Physics 389 (2022) 439–489.","chicago":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” <i>Communications in Mathematical Physics</i> 389 (2022): 439–89.","apa":"Winkler, M. (2022). Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. <i>Communications in Mathematical Physics</i>, <i>389</i>, 439–489.","ieee":"M. Winkler, “Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.,” <i>Communications in Mathematical Physics</i>, vol. 389, pp. 439–489, 2022.","ama":"Winkler M. Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction. <i>Communications in Mathematical Physics</i>. 2022;389:439-489.","bibtex":"@article{Winkler_2022, title={Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.}, volume={389}, journal={Communications in Mathematical Physics}, author={Winkler, Michael}, year={2022}, pages={439–489} }","mla":"Winkler, Michael. “Reaction-Driven Relaxation in Threee-Dimensional Keller-Segel-Navier-Stokes Interaction.” <i>Communications in Mathematical Physics</i>, vol. 389, 2022, pp. 439–89."},"publication":"Communications in Mathematical Physics","date_created":"2023-01-09T16:32:21Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article"},{"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2023-01-09T16:35:09Z","publication":"Proceedings of the London Mathematical Society","citation":{"chicago":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” <i>Proceedings of the London Mathematical Society</i> 124 (2022): 133–81.","short":"M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 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.","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} }","ama":"Winkler M. A family of mass-critical Keller-Segel systems. <i>Proceedings of the London Mathematical Society</i>. 2022;124:133-181.","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."},"user_id":"15645","volume":124,"page":"133-181","language":[{"iso":"eng"}],"_id":"35574","date_updated":"2023-01-20T13:17:33Z","intvolume":"       124","status":"public","title":"A family of mass-critical Keller-Segel systems.","year":"2022","author":[{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}]},{"date_created":"2023-01-09T13:02:46Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Discrete and Continuous Dynamical Systems","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.","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.","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.","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.","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.","short":"K.  Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 5201–5222."},"page":"5201-5222","language":[{"iso":"eng"}],"_id":"35483","user_id":"15645","volume":42,"year":"2022","title":"Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.","status":"public","author":[{"first_name":"Kyungkeun","last_name":" Kang","full_name":" Kang, Kyungkeun"},{"first_name":"Jihoon","last_name":"Lee","full_name":"Lee, Jihoon"},{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"date_updated":"2023-01-21T09:30:47Z","intvolume":"        42"},{"publication":"Contemporary Mathematics","issue":"780","citation":{"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>.","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>","short":"M. Rösler, M. Voit, Contemporary Mathematics (2022) 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>.","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} }","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>"},"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 $\\mathbb E(\\prod_{j=1}^N(y-X_{t,j})),$ $y\\in\\mathbb C$."}],"date_created":"2023-01-23T08:31:27Z","type":"journal_article","department":[{"_id":"555"}],"title":"Elementary symmetric polynomials and martingales for Heckman-Opdam processes","status":"public","year":"2022","conference":{"name":"Hypergeometry, integrability and Lie theory"},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"full_name":"Voit, Michael","first_name":"Michael","last_name":"Voit"}],"date_updated":"2023-01-24T22:16:21Z","publication_status":"published","page":"243-262","language":[{"iso":"eng"}],"_id":"38039","doi":"10.48550/ARXIV.2108.03228","user_id":"37390"},{"page":"713-792","language":[{"iso":"eng"}],"_id":"35479","user_id":"15645","volume":32,"title":"Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.","year":"2022","status":"public","author":[{"first_name":"Nicolas","last_name":"Bellomo","full_name":"Bellomo, Nicolas"},{"full_name":"Outada, Nisrine","last_name":"Outada","first_name":"Nisrine"},{"full_name":"Soler, Juan","first_name":"Juan","last_name":"Soler"},{"full_name":"Tao, Youshan","last_name":"Tao","first_name":"Youshan"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"date_updated":"2023-02-01T10:05:54Z","intvolume":"        32","date_created":"2023-01-09T12:42:07Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Mathematical Models & Methods in Applied Sciences","citation":{"short":"N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models &#38; Methods in Applied Sciences 32 (2022) 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.","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} }","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.","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."}},{"_id":"35530","language":[{"iso":"eng"}],"article_number":"14","volume":22,"user_id":"15645","author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"status":"public","title":"Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.","year":"2022","intvolume":"        22","date_updated":"2023-02-01T10:07:44Z","date_created":"2023-01-09T15:37:36Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","citation":{"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} }","short":"J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).","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.","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.","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."},"publication":"Journal of Evolution Equations"},{"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.","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.","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.","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.","short":"J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 124–151.","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."},"publication":"Journal de Mathématiques Pures et Appliquées","date_created":"2023-01-09T12:45:23Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","author":[{"last_name":"Fuhrmann","first_name":"Jan","full_name":"Fuhrmann, Jan"},{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"}],"title":"A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.","status":"public","year":"2022","intvolume":"       162","date_updated":"2023-02-01T09:57:48Z","_id":"35481","language":[{"iso":"eng"}],"page":"124-151","volume":162,"user_id":"15645"},{"language":[{"iso":"eng"}],"_id":"35565","page":"985-1001","volume":38,"user_id":"15645","author":[{"first_name":"Yulan","last_name":"Wang","full_name":"Wang, Yulan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"},{"full_name":"Xiang, Zhaoyin","last_name":"Xiang","first_name":"Zhaoyin"}],"title":"A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.","year":"2022","status":"public","intvolume":"        38","date_updated":"2023-02-01T10:32:20Z","date_created":"2023-01-09T16:25:05Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","citation":{"short":"Y. Wang, M. Winkler, Z. Xiang, Acta Mathematica Sinica (English Series) 38 (2022) 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.","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} }","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.","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."},"publication":"Acta Mathematica Sinica (English Series)"},{"author":[{"first_name":"Yulan","last_name":"Wang","full_name":"Wang, Yulan"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"},{"full_name":"Xiang, Zhaoyin","first_name":"Zhaoyin","last_name":"Xiang"}],"status":"public","title":"Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal.","year":"2022","intvolume":"        20","date_updated":"2023-02-01T10:29:44Z","_id":"35560","language":[{"iso":"eng"}],"page":"141-170","volume":20,"user_id":"15645","citation":{"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.","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.","short":"Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 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.","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.","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.","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} }"},"publication":"Analysis and Applications","date_created":"2023-01-09T16:21:59Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article"},{"language":[{"iso":"eng"}],"doi":"10.4153/s0008414x21000195","author":[{"full_name":"Graczyk, P.","last_name":"Graczyk","first_name":"P."},{"full_name":"Luks, Tomasz","last_name":"Luks","first_name":"Tomasz","id":"58312"},{"last_name":"Sawyer","first_name":"P.","full_name":"Sawyer, P."}],"publication_identifier":{"issn":["0008-414X","1496-4279"]},"year":"2022","title":"Potential kernels for radial Dunkl Laplacians","intvolume":"        74","date_updated":"2023-01-26T17:18:50Z","publication_status":"published","date_created":"2023-01-25T15:13:06Z","department":[{"_id":"555"}],"type":"journal_article","publication":"Canadian Journal of Mathematics","issue":"4","_id":"40053","publisher":"Canadian Mathematical Society","page":"1005-1033","volume":74,"user_id":"58312","status":"public","citation":{"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>.","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>","short":"P. Graczyk, T. Luks, P. Sawyer, Canadian Journal of Mathematics 74 (2022) 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>.","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} }","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>"}},{"publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","citation":{"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.","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.","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.","short":"Y. Tao, M. Winkler, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152 (2022) 81–101.","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.","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} }"},"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2023-01-09T16:16:07Z","date_updated":"2023-02-01T10:16:04Z","intvolume":"       152","title":"Asymptotic stability of spatial homogeneity in a haptotaxis model for oncolytic virotherapy.","status":"public","year":"2022","author":[{"full_name":"Tao, Youshan","first_name":"Youshan","last_name":"Tao"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"user_id":"15645","volume":152,"page":"81-101","_id":"35556","language":[{"iso":"eng"}]},{"intvolume":"        21","date_updated":"2023-02-01T10:09:37Z","author":[{"first_name":"Genglin","last_name":"Li","full_name":"Li, Genglin"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"status":"public","title":"Nonnegative solutions to a doubly degenerate nutrient taxis system ","year":"2022","volume":21,"user_id":"15645","language":[{"iso":"eng"}],"_id":"35532","page":"687-784","citation":{"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} }","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.","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.","short":"G. Li, M. Winkler, Communications on Pure and Applied Analysis 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.","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."},"publication":"Communications on Pure and Applied Analysis","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T15:51:29Z"},{"citation":{"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>.","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>","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} }","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>","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>.","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>.","short":"T. Black, C. Wu, Calculus of Variations and Partial Differential Equations 61 (2022)."},"status":"public","user_id":"23686","volume":61,"publisher":"Springer Science and Business Media LLC","_id":"34677","issue":"3","publication":"Calculus of Variations and Partial Differential Equations","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:50:59Z","publication_status":"published","date_updated":"2023-07-10T11:37:27Z","intvolume":"        61","title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","year":"2022","author":[{"full_name":"Black, Tobias","orcid":"0000-0001-9963-0800","first_name":"Tobias","last_name":"Black","id":"23686"},{"first_name":"Chunyan","last_name":"Wu","full_name":"Wu, Chunyan"}],"publication_identifier":{"issn":["0944-2669","1432-0835"]},"doi":"10.1007/s00526-022-02201-y","article_number":"96","language":[{"iso":"eng"}]},{"publisher":"Springer Science and Business Media LLC","_id":"64570","user_id":"109467","volume":63,"status":"public","citation":{"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>.","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} }","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>","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>.","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>","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>.","short":"M. Olbrich, G. Palmirotta, Annals of Global Analysis and Geometry 63 (2022)."},"article_number":"9","language":[{"iso":"eng"}],"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","year":"2022","author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"first_name":"Guendalina","last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","id":"109467"}],"publication_identifier":{"issn":["0232-704X","1572-9060"]},"publication_status":"published","date_updated":"2026-02-20T20:03:38Z","intvolume":"        63","date_created":"2026-02-20T20:02:50Z","type":"journal_article","department":[{"_id":"10"},{"_id":"548"}],"publication":"Annals of Global Analysis and Geometry","issue":"1","extern":"1"},{"status":"public","volume":34,"user_id":"109467","_id":"64571","publisher":"Heldermann Verlag","page":"53--384","citation":{"short":"M. Olbrich, G. Palmirotta, Journal of Lie Theory 34 (2022) 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.","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} }","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.","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."},"external_id":{"arxiv":["2202.06905"]},"intvolume":"        34","publication_status":"published","date_updated":"2026-02-20T20:07:31Z","author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"full_name":"Palmirotta, Guendalina","first_name":"Guendalina","last_name":"Palmirotta","id":"109467"}],"year":"2022","title":"A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$","language":[{"iso":"eng"}],"extern":"1","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"}],"issue":"2","publication":"Journal of Lie theory","department":[{"_id":"10"},{"_id":"548"}],"type":"journal_article","date_created":"2026-02-20T20:04:49Z"},{"date_created":"2024-02-19T06:36:17Z","type":"journal_article","department":[{"_id":"91"}],"publication":"J. of Spectral Theory","citation":{"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} }","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.","mla":"Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 659–81.","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.","short":"J. Hilgert, T. Weich, K.-U. Bux, J. of Spectral Theory 12 (2022) 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.","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."},"page":"659-681","_id":"51385","language":[{"iso":"eng"}],"user_id":"220","volume":12,"status":"public","title":"Poisson transforms for trees of bounded degree","year":"2022","author":[{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"},{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich"},{"first_name":"K.-U.","last_name":"Bux","full_name":"Bux, K.-U."}],"date_updated":"2026-03-31T08:25:35Z","publication_status":"published","intvolume":"        12"},{"issue":"6","publication":"Journal of Symplectic Geometry","type":"journal_article","department":[{"_id":"548"}],"date_created":"2022-06-20T08:46:56Z","publication_status":"published","date_updated":"2022-06-21T11:54:50Z","article_type":"original","intvolume":"        19","year":"2021","title":"Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions","author":[{"id":"70575","full_name":"Delarue, Benjamin","first_name":"Benjamin","last_name":"Delarue"},{"first_name":"Pablo","last_name":"Ramacher","full_name":"Ramacher, Pablo"}],"publication_identifier":{"unknown":["1540-2347","1527-5256"]},"doi":"10.4310/JSG.2021.v19.n6.a1","language":[{"iso":"eng"}],"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>","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} }","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.","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>.","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>","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>."},"status":"public","user_id":"70575","volume":19,"page":"1281 - 1337","_id":"32016"},{"status":"public","page":"164-214","_id":"34786","user_id":"178","volume":570,"citation":{"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>.","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>","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>.","short":"H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.","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>.","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} }","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>"},"quality_controlled":"1","year":"2021","title":"Decompositions of locally compact contraction groups, series and extensions","author":[{"id":"178","full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge"},{"full_name":"Willis, George A.","first_name":"George A.","last_name":"Willis"}],"publication_identifier":{"issn":["0021-8693"]},"date_updated":"2022-12-21T18:58:44Z","article_type":"original","intvolume":"       570","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","publication":"Journal of Algebra","abstract":[{"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.","lang":"eng"}],"date_created":"2022-12-21T18:43:08Z","type":"journal_article","keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}]},{"user_id":"178","volume":294,"page":"74–81","_id":"34795","status":"public","quality_controlled":"1","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>","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} }","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>.","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>.","short":"H. Glöckner, Mathematische Nachrichten 294 (2021) 74–81.","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>","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>."},"doi":"10.1002/mana.201900073","language":[{"iso":"eng"}],"date_updated":"2022-12-21T20:00:29Z","intvolume":"       294","article_type":"original","title":"Direct limits of regular Lie groups","year":"2021","author":[{"full_name":"Glöckner, Helge","last_name":"Glöckner","first_name":"Helge","id":"178"}],"publication_identifier":{"issn":["0025-584X"]},"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2022-12-21T19:57:32Z","issue":"1","publication":"Mathematische Nachrichten"}]