[{"language":[{"iso":"eng"}],"_id":"51554","page":"151–153","volume":69,"doi":"10.1007/s00591-021-00314-7","user_id":"49063","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"}],"status":"public","title":"Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021","year":"2022","intvolume":"        69","date_updated":"2024-02-20T09:52:53Z","publication_status":"published","date_created":"2024-02-20T09:49:04Z","department":[{"_id":"91"}],"type":"review","citation":{"mla":"Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” <i>Mathematische Semesterberichte</i>, vol. 69, 2022, pp. 151–153, doi:<a href=\"https://doi.org/10.1007/s00591-021-00314-7\">10.1007/s00591-021-00314-7</a>.","ama":"Hilgert J. Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. <i>Mathematische Semesterberichte</i>. 2022;69:151–153. doi:<a href=\"https://doi.org/10.1007/s00591-021-00314-7\">10.1007/s00591-021-00314-7</a>","bibtex":"@article{Hilgert_2022, title={Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021}, volume={69}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00314-7\">10.1007/s00591-021-00314-7</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2022}, pages={151–153} }","apa":"Hilgert, J. (2022). Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021. In <i>Mathematische Semesterberichte</i> (Vol. 69, pp. 151–153). <a href=\"https://doi.org/10.1007/s00591-021-00314-7\">https://doi.org/10.1007/s00591-021-00314-7</a>","ieee":"J. Hilgert, “Ethan D. Bolker und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021,” <i>Mathematische Semesterberichte</i>, vol. 69. pp. 151–153, 2022, doi: <a href=\"https://doi.org/10.1007/s00591-021-00314-7\">10.1007/s00591-021-00314-7</a>.","chicago":"Hilgert, Joachim. “Ethan D. Bolker Und Maura B. Mast: Common Sense Mathematics, Second Edition. AMS/MAA Press 2021.” <i>Mathematische Semesterberichte</i>, 2022. <a href=\"https://doi.org/10.1007/s00591-021-00314-7\">https://doi.org/10.1007/s00591-021-00314-7</a>.","short":"J. Hilgert, Mathematische Semesterberichte 69 (2022) 151–153."},"publication":"Mathematische Semesterberichte"},{"citation":{"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.","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.","short":"J. Lankeit, M. Winkler, Nonlinearity 35 (2022) 719–749.","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.","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.","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} }","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."},"publication":"Nonlinearity","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T15:33:38Z","intvolume":"        35","date_updated":"2023-01-20T13:18:15Z","author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler","id":"31496"}],"year":"2022","title":"Radial solutions to a chemotaxis-consumption model involving prescribed signal concentrations on the boundary","status":"public","volume":35,"user_id":"15645","_id":"35528","language":[{"iso":"eng"}],"page":"719-749"},{"date_updated":"2023-01-20T13:17:37Z","intvolume":"       389","status":"public","year":"2022","title":"Reaction-driven relaxation in threee-dimensional Keller-Segel-Navier-Stokes interaction.","author":[{"full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael","id":"31496"}],"user_id":"15645","volume":389,"page":"439-489","_id":"35568","language":[{"iso":"eng"}],"publication":"Communications in Mathematical Physics","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."},"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2023-01-09T16:32:21Z"},{"language":[{"iso":"eng"}],"_id":"35574","page":"133-181","volume":124,"user_id":"15645","author":[{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"year":"2022","status":"public","title":"A family of mass-critical Keller-Segel systems.","intvolume":"       124","date_updated":"2023-01-20T13:17:33Z","date_created":"2023-01-09T16:35:09Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","citation":{"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.","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.","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.","short":"M. Winkler, Proceedings of the London Mathematical Society 124 (2022) 133–181.","chicago":"Winkler, Michael. “A Family of Mass-Critical Keller-Segel Systems.” <i>Proceedings of the London Mathematical Society</i> 124 (2022): 133–81."},"publication":"Proceedings of the London Mathematical Society"},{"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.","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} }","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.","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.","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.","short":"K.  Kang, J. Lee, M. Winkler, Discrete and Continuous Dynamical Systems 42 (2022) 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."},"publication":"Discrete and Continuous Dynamical Systems","date_created":"2023-01-09T13:02:46Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","author":[{"last_name":" Kang","first_name":"Kyungkeun","full_name":" Kang, Kyungkeun"},{"full_name":"Lee, Jihoon","first_name":"Jihoon","last_name":"Lee"},{"id":"31496","full_name":"Winkler, Michael","first_name":"Michael","last_name":"Winkler"}],"title":"Global weak solutions to a chemotaxis-Navier-Stokes system in $R^3$.","year":"2022","status":"public","intvolume":"        42","date_updated":"2023-01-21T09:30:47Z","_id":"35483","language":[{"iso":"eng"}],"page":"5201-5222","volume":42,"user_id":"15645"},{"user_id":"37390","doi":"10.48550/ARXIV.2108.03228","page":"243-262","_id":"38039","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-01-24T22:16:21Z","year":"2022","title":"Elementary symmetric polynomials and martingales for Heckman-Opdam processes","status":"public","author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"conference":{"name":"Hypergeometry, integrability and Lie theory"},"type":"journal_article","department":[{"_id":"555"}],"date_created":"2023-01-23T08:31:27Z","abstract":[{"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 $\\mathbb E(\\prod_{j=1}^N(y-X_{t,j})),$ $y\\in\\mathbb C$.","lang":"eng"}],"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>","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>.","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} }","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>"}},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T12:42:07Z","citation":{"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.","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.","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.","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.","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.","short":"N. Bellomo, N. Outada, J. Soler, Y. Tao, M. Winkler, Mathematical Models &#38; Methods in Applied Sciences 32 (2022) 713–792.","bibtex":"@article{Bellomo_Outada_Soler_Tao_Winkler_2022, title={Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.}, volume={32}, journal={Mathematical Models &#38; Methods in Applied Sciences}, author={Bellomo, Nicolas and Outada, Nisrine and Soler, Juan and Tao, Youshan and Winkler, Michael}, year={2022}, pages={713–792} }"},"publication":"Mathematical Models & Methods in Applied Sciences","volume":32,"user_id":"15645","_id":"35479","language":[{"iso":"eng"}],"page":"713-792","intvolume":"        32","date_updated":"2023-02-01T10:05:54Z","author":[{"full_name":"Bellomo, Nicolas","last_name":"Bellomo","first_name":"Nicolas"},{"full_name":"Outada, Nisrine","last_name":"Outada","first_name":"Nisrine"},{"last_name":"Soler","first_name":"Juan","full_name":"Soler, Juan"},{"last_name":"Tao","first_name":"Youshan","full_name":"Tao, Youshan"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"year":"2022","title":"Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision.","status":"public"},{"citation":{"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).","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.","short":"J. Lankeit, M. Winkler, Journal of Evolution Equations 22 (2022).","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.","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.","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."},"publication":"Journal of Evolution Equations","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T15:37:36Z","intvolume":"        22","date_updated":"2023-02-01T10:07:44Z","author":[{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"}],"year":"2022","title":"Global existence in reaction-diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptiva effects.","status":"public","volume":22,"user_id":"15645","_id":"35530","language":[{"iso":"eng"}],"article_number":"14"},{"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} }","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.","short":"J. Fuhrmann, J. Lankeit, M. Winkler, Journal de Mathématiques Pures et Appliquées 162 (2022) 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."},"publication":"Journal de Mathématiques Pures et Appliquées","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T12:45:23Z","intvolume":"       162","date_updated":"2023-02-01T09:57:48Z","author":[{"full_name":"Fuhrmann, Jan","last_name":"Fuhrmann","first_name":"Jan"},{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"status":"public","title":"A double critical mass phenomenon in a no-flux-Dirichlet Keller-Segel system.","year":"2022","volume":162,"user_id":"15645","_id":"35481","language":[{"iso":"eng"}],"page":"124-151"},{"page":"985-1001","language":[{"iso":"eng"}],"_id":"35565","user_id":"15645","volume":38,"title":"A smallness condition ensuring boundedness in a two-dimensional chemotaxis-Navier-Stokes system involving Dirichlet boundary conditions for the signal.","status":"public","year":"2022","author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"id":"31496","last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael"},{"first_name":"Zhaoyin","last_name":"Xiang","full_name":"Xiang, Zhaoyin"}],"date_updated":"2023-02-01T10:32:20Z","intvolume":"        38","date_created":"2023-01-09T16:25:05Z","type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Acta Mathematica Sinica (English Series)","citation":{"apa":"Wang, Y., Winkler, M., &#38; Xiang, Z. 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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.","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.","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.","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} }"}},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","date_created":"2023-01-09T16:21:59Z","citation":{"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.","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} }","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.","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.","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.","short":"Y. Wang, M. Winkler, Z. Xiang, Analysis and Applications 20 (2022) 141–170."},"publication":"Analysis and Applications","volume":20,"user_id":"15645","language":[{"iso":"eng"}],"_id":"35560","page":"141-170","intvolume":"        20","date_updated":"2023-02-01T10:29:44Z","author":[{"full_name":"Wang, Yulan","first_name":"Yulan","last_name":"Wang"},{"last_name":"Winkler","first_name":"Michael","full_name":"Winkler, Michael","id":"31496"},{"full_name":"Xiang, Zhaoyin","last_name":"Xiang","first_name":"Zhaoyin"}],"year":"2022","status":"public","title":"Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal."},{"title":"Potential kernels for radial Dunkl Laplacians","year":"2022","author":[{"last_name":"Graczyk","first_name":"P.","full_name":"Graczyk, P."},{"last_name":"Luks","first_name":"Tomasz","full_name":"Luks, Tomasz","id":"58312"},{"full_name":"Sawyer, P.","first_name":"P.","last_name":"Sawyer"}],"publication_identifier":{"issn":["0008-414X","1496-4279"]},"publication_status":"published","date_updated":"2023-01-26T17:18:50Z","intvolume":"        74","language":[{"iso":"eng"}],"doi":"10.4153/s0008414x21000195","issue":"4","publication":"Canadian Journal of Mathematics","date_created":"2023-01-25T15:13:06Z","type":"journal_article","department":[{"_id":"555"}],"status":"public","page":"1005-1033","_id":"40053","publisher":"Canadian Mathematical Society","user_id":"58312","volume":74,"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>.","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>","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} }","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>","ieee":"P. Graczyk, T. Luks, and P. 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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.","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.","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."},"publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","date_created":"2023-01-09T16:16:07Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article"},{"author":[{"first_name":"Genglin","last_name":"Li","full_name":"Li, Genglin"},{"first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael","id":"31496"}],"title":"Nonnegative solutions to a doubly degenerate nutrient taxis system ","status":"public","year":"2022","intvolume":"        21","date_updated":"2023-02-01T10:09:37Z","language":[{"iso":"eng"}],"_id":"35532","page":"687-784","volume":21,"user_id":"15645","citation":{"ama":"Li G, Winkler M. Nonnegative solutions to a doubly degenerate nutrient taxis system . <i>Communications on Pure and Applied Analysis</i>. 2022;21:687-784.","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.","short":"G. Li, M. Winkler, Communications on Pure and Applied Analysis 21 (2022) 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.","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.","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."},"publication":"Communications on Pure and Applied Analysis","date_created":"2023-01-09T15:51:29Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article"},{"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)."},"_id":"34677","publisher":"Springer Science and Business Media LLC","user_id":"23686","volume":61,"status":"public","date_created":"2022-12-21T09:50:59Z","type":"journal_article","keyword":["Applied Mathematics","Analysis"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"publication":"Calculus of Variations and Partial Differential Equations","issue":"3","article_number":"96","language":[{"iso":"eng"}],"doi":"10.1007/s00526-022-02201-y","year":"2022","title":"Prescribed signal concentration on the boundary: eventual smoothness in a chemotaxis-Navier–Stokes system with logistic proliferation","author":[{"id":"23686","first_name":"Tobias","orcid":"0000-0001-9963-0800","last_name":"Black","full_name":"Black, Tobias"},{"full_name":"Wu, Chunyan","last_name":"Wu","first_name":"Chunyan"}],"publication_identifier":{"issn":["0944-2669","1432-0835"]},"publication_status":"published","date_updated":"2023-07-10T11:37:27Z","intvolume":"        61"},{"language":[{"iso":"eng"}],"article_number":"9","doi":"10.1007/s10455-022-09882-w","author":[{"full_name":"Olbrich, Martin","first_name":"Martin","last_name":"Olbrich"},{"first_name":"Guendalina","last_name":"Palmirotta","full_name":"Palmirotta, Guendalina","id":"109467"}],"publication_identifier":{"issn":["0232-704X","1572-9060"]},"year":"2022","title":"Delorme’s intertwining conditions for sections of homogeneous vector bundles on two- and three-dimensional hyperbolic spaces","intvolume":"        63","publication_status":"published","date_updated":"2026-02-20T20:03:38Z","date_created":"2026-02-20T20:02:50Z","department":[{"_id":"10"},{"_id":"548"}],"type":"journal_article","publication":"Annals of Global Analysis and Geometry","issue":"1","extern":"1","publisher":"Springer Science and Business Media LLC","_id":"64570","volume":63,"user_id":"109467","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)."}},{"abstract":[{"lang":"eng","text":"We study the Fourier transform for compactly supported distributional sections of complex homogeneous vector bundles on symmetric spaces of non-compact type $X = G/K$. We prove a characterisation of their range. In fact, from Delorme's Paley-Wiener theorem for compactly supported smooth functions on a real reductive group of Harish-Chandra class, we deduce topological Paley-Wiener and Paley-Wiener-Schwartz theorems for sections."}],"extern":"1","publication":"Journal of Lie theory","issue":"2","department":[{"_id":"10"},{"_id":"548"}],"type":"journal_article","date_created":"2026-02-20T20:04:49Z","intvolume":"        34","date_updated":"2026-02-20T20:07:31Z","publication_status":"published","author":[{"first_name":"Martin","last_name":"Olbrich","full_name":"Olbrich, Martin"},{"full_name":"Palmirotta, Guendalina","last_name":"Palmirotta","first_name":"Guendalina","id":"109467"}],"title":"A topological Paley-Wiener-Schwartz Theorem for sections of homogeneous vector bundles on $G/K$","year":"2022","language":[{"iso":"eng"}],"citation":{"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.","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.","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.","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."},"external_id":{"arxiv":["2202.06905"]},"status":"public","volume":34,"user_id":"109467","_id":"64571","publisher":"Heldermann Verlag","page":"53--384"},{"date_created":"2024-02-19T06:36:17Z","type":"journal_article","department":[{"_id":"91"}],"publication":"J. of Spectral Theory","citation":{"mla":"Hilgert, Joachim, et al. “Poisson Transforms for Trees of Bounded Degree.” <i>J. of Spectral Theory</i>, vol. 12, 2022, pp. 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} }","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.","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.","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."},"page":"659-681","language":[{"iso":"eng"}],"_id":"51385","user_id":"220","volume":12,"title":"Poisson transforms for trees of bounded degree","status":"public","year":"2022","author":[{"full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert","id":"220"},{"id":"49178","full_name":"Weich, Tobias","last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919"},{"full_name":"Bux, K.-U.","last_name":"Bux","first_name":"K.-U."}],"date_updated":"2026-03-31T08:25:35Z","publication_status":"published","intvolume":"        12"},{"citation":{"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>.","apa":"Delarue, B., &#38; Ramacher, P. (2021). 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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>"},"status":"public","volume":19,"user_id":"70575","_id":"32016","page":"1281 - 1337","issue":"6","publication":"Journal of Symplectic Geometry","department":[{"_id":"548"}],"type":"journal_article","date_created":"2022-06-20T08:46:56Z","article_type":"original","intvolume":"        19","publication_status":"published","date_updated":"2022-06-21T11:54:50Z","publication_identifier":{"unknown":["1540-2347","1527-5256"]},"author":[{"full_name":"Delarue, Benjamin","last_name":"Delarue","first_name":"Benjamin","id":"70575"},{"last_name":"Ramacher","first_name":"Pablo","full_name":"Ramacher, Pablo"}],"title":"Asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions","year":"2021","doi":"10.4310/JSG.2021.v19.n6.a1","language":[{"iso":"eng"}]},{"status":"public","user_id":"178","volume":570,"page":"164-214","_id":"34786","quality_controlled":"1","citation":{"short":"H. Glöckner, G.A. Willis, Journal of Algebra 570 (2021) 164–214.","chicago":"Glöckner, Helge, and George A. Willis. “Decompositions of Locally Compact Contraction Groups, Series and Extensions.” <i>Journal of Algebra</i> 570 (2021): 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","ieee":"H. Glöckner and G. A. Willis, “Decompositions of locally compact contraction groups, series and extensions,” <i>Journal of Algebra</i>, vol. 570, pp. 164–214, 2021, doi: <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>.","apa":"Glöckner, H., &#38; Willis, G. A. (2021). Decompositions of locally compact contraction groups, series and extensions. <i>Journal of Algebra</i>, <i>570</i>, 164–214. <a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>","bibtex":"@article{Glöckner_Willis_2021, title={Decompositions of locally compact contraction groups, series and extensions}, volume={570}, DOI={<a href=\"https://doi.org/10.1016/j.jalgebra.2020.11.007\">https://doi.org/10.1016/j.jalgebra.2020.11.007</a>}, journal={Journal of Algebra}, author={Glöckner, Helge and Willis, George A.}, year={2021}, pages={164–214} }","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>","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>."},"date_updated":"2022-12-21T18:58:44Z","article_type":"original","intvolume":"       570","title":"Decompositions of locally compact contraction groups, series and extensions","year":"2021","publication_identifier":{"issn":["0021-8693"]},"author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"},{"first_name":"George A.","last_name":"Willis","full_name":"Willis, George A."}],"doi":"https://doi.org/10.1016/j.jalgebra.2020.11.007","language":[{"iso":"eng"}],"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."}],"publication":"Journal of Algebra","keyword":["Contraction group","Torsion group","Extension","Cocycle","Section","Equivariant cohomology","Abelian group","Nilpotent group","Isomorphism types"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2022-12-21T18:43:08Z"}]