[{"publication":"Israel Journal of Mathematics","citation":{"ieee":"B. F. Seguin, “Counting Components of Hurwitz Spaces,” Israel Journal of Mathematics, 2025, doi: 10.1007/s11856-025-2848-5.","apa":"Seguin, B. F. (2025). Counting Components of Hurwitz Spaces. Israel Journal of Mathematics. https://doi.org/10.1007/s11856-025-2848-5","short":"B.F. Seguin, Israel Journal of Mathematics (2025).","chicago":"Seguin, Beranger Fabrice. “Counting Components of Hurwitz Spaces.” Israel Journal of Mathematics, 2025. https://doi.org/10.1007/s11856-025-2848-5.","mla":"Seguin, Beranger Fabrice. “Counting Components of Hurwitz Spaces.” Israel Journal of Mathematics, Springer Science and Business Media LLC, 2025, doi:10.1007/s11856-025-2848-5.","bibtex":"@article{Seguin_2025, title={Counting Components of Hurwitz Spaces}, DOI={10.1007/s11856-025-2848-5}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Seguin, Beranger Fabrice}, year={2025} }","ama":"Seguin BF. Counting Components of Hurwitz Spaces. Israel Journal of Mathematics. Published online 2025. doi:10.1007/s11856-025-2848-5"},"abstract":[{"text":"For a finite group $G$, we describe the asymptotic growth of the number of\r\nconnected components of Hurwitz spaces of marked $G$-covers (of both the affine\r\nand projective lines) whose monodromy classes are constrained in a certain way,\r\nas the number of branch points grows to infinity. More precisely, we compute\r\nboth the exponent and (in many cases) the coefficient of the leading monomial\r\nin the count of components containing covers whose monodromy group is a given\r\nsubgroup of $G$. By the work of Ellenberg, Tran, Venkatesh and Westerland, this\r\nasymptotic behavior is related to the distribution of field extensions\r\nof~$\\mathbb{F}_q(T)$ with Galois group $G$.","lang":"eng"}],"date_created":"2025-12-12T23:09:07Z","type":"journal_article","status":"public","year":"2025","title":"Counting Components of Hurwitz Spaces","publication_identifier":{"issn":["0021-2172","1565-8511"]},"author":[{"last_name":"Seguin","first_name":"Beranger Fabrice","full_name":"Seguin, Beranger Fabrice","id":"102487"}],"publication_status":"published","date_updated":"2025-12-12T23:12:23Z","_id":"63078","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","user_id":"102487","doi":"10.1007/s11856-025-2848-5"},{"citation":{"short":"M. Winkler, Israel Journal of Mathematics 263 (2024) 93–127.","chicago":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics 263, no. 1 (2024): 93–127. https://doi.org/10.1007/s11856-024-2618-9.","apa":"Winkler, M. (2024). Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics, 263(1), 93–127. https://doi.org/10.1007/s11856-024-2618-9","ieee":"M. Winkler, “Complete infinite-time mass aggregation in a quasilinear Keller–Segel system,” Israel Journal of Mathematics, vol. 263, no. 1, pp. 93–127, 2024, doi: 10.1007/s11856-024-2618-9.","ama":"Winkler M. Complete infinite-time mass aggregation in a quasilinear Keller–Segel system. Israel Journal of Mathematics. 2024;263(1):93-127. doi:10.1007/s11856-024-2618-9","bibtex":"@article{Winkler_2024, title={Complete infinite-time mass aggregation in a quasilinear Keller–Segel system}, volume={263}, DOI={10.1007/s11856-024-2618-9}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Winkler, Michael}, year={2024}, pages={93–127} }","mla":"Winkler, Michael. “Complete Infinite-Time Mass Aggregation in a Quasilinear Keller–Segel System.” Israel Journal of Mathematics, vol. 263, no. 1, Springer Science and Business Media LLC, 2024, pp. 93–127, doi:10.1007/s11856-024-2618-9."},"status":"public","volume":263,"user_id":"31496","publisher":"Springer Science and Business Media LLC","_id":"63262","page":"93-127","abstract":[{"lang":"eng","text":"AbstractRadially symmetric global unbounded solutions of the chemotaxis system $$\\left\\{ {\\matrix{{{u_t} = \\nabla \\cdot (D(u)\\nabla u) - \\nabla \\cdot (uS(u)\\nabla v),} \\hfill & {} \\hfill \\cr {0 = \\Delta v - \\mu + u,} \\hfill & {\\mu = {1 \\over {|\\Omega |}}\\int_\\Omega {u,} } \\hfill \\cr } } \\right.$$\r\n \r\n \r\n {\r\n \r\n \r\n \r\n \r\n \r\n \r\n u\r\n t\r\n \r\n =\r\n ∇\r\n ⋅\r\n (\r\n D\r\n (\r\n u\r\n )\r\n ∇\r\n u\r\n )\r\n −\r\n ∇\r\n ⋅\r\n (\r\n u\r\n S\r\n (\r\n u\r\n )\r\n ∇\r\n v\r\n )\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n 0\r\n =\r\n Δ\r\n v\r\n −\r\n μ\r\n +\r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n μ\r\n =\r\n \r\n 1\r\n \r\n |\r\n Ω\r\n |\r\n \r\n \r\n \r\n \r\n \r\n ∫\r\n Ω\r\n \r\n \r\n u\r\n ,\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n are considered in a ball Ω = BR(0) ⊂ ℝn, where n ≥ 3 and R > 0.Under the assumption that D and S suitably generalize the prototypes given by D(ξ) = (ξ + ι)m−1 and S(ξ) = (ξ + 1)−λ−1 for all ξ > 0 and some m ∈ ℝ, λ >0 and ι ≥ 0 fulfilling $$m + \\lambda < 1 - {2 \\over n}$$\r\n m\r\n +\r\n λ\r\n <\r\n 1\r\n −\r\n \r\n 2\r\n n\r\n \r\n , a considerably large set of initial data u0 is found to enforce a complete mass aggregation in infinite time in the sense that for any such u0, an associated Neumann type initial-boundary value problem admits a global classical solution (u, v) satisfying $${1 \\over C} \\cdot {(t + 1)^{{1 \\over \\lambda }}} \\le ||u( \\cdot ,t)|{|_{{L^\\infty }(\\Omega )}} \\le C \\cdot {(t + 1)^{{1 \\over \\lambda }}}\\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,t > 0$$\r\n \r\n \r\n 1\r\n C\r\n \r\n \r\n ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\r\n \r\n \r\n \r\n \r\n \r\n ≤\r\n \r\n |\r\n \r\n \r\n |\r\n \r\n u\r\n (\r\n ⋅\r\n ,\r\n t\r\n )\r\n \r\n |\r\n \r\n \r\n \r\n \r\n |\r\n \r\n \r\n \r\n \r\n L\r\n ∞\r\n \r\n \r\n (\r\n Ω\r\n )\r\n \r\n \r\n \r\n ≤\r\n C\r\n ⋅\r\n \r\n (\r\n t\r\n +\r\n 1\r\n \r\n )\r\n \r\n \r\n \r\n 1\r\n λ\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n f\r\n o\r\n r\r\n \r\n \r\n \r\n \r\n \r\n \r\n a\r\n l\r\n l\r\n \r\n \r\n \r\n \r\n t\r\n >\r\n 0\r\n as well as $$||u( \\cdot \\,,t)|{|_{{L^1}(\\Omega \\backslash {B_{{r_0}}}(0))}} \\to 0\\,\\,\\,{\\rm{as}}\\,\\,t \\to \\infty \\,\\,\\,{\\rm{for}}\\,\\,{\\rm{all}}\\,\\,{r_0} \\in (0,R)$$\r\n |\r\n |\r\n u\r\n (\r\n ⋅\r\n ,\r\n t\r\n )\r\n |\r\n \r\n |\r\n \r\n \r\n L\r\n 1\r\n \r\n (\r\n Ω\r\n \\\r\n \r\n B\r\n \r\n \r\n r\r\n 0\r\n \r\n \r\n \r\n (\r\n 0\r\n )\r\n )\r\n \r\n \r\n →\r\n 0\r\n as\r\n t\r\n →\r\n ∞\r\n for all\r\n \r\n r\r\n 0\r\n \r\n ∈\r\n (\r\n 0\r\n ,\r\n R\r\n )\r\n with some C > 0."}],"publication":"Israel Journal of Mathematics","issue":"1","type":"journal_article","date_created":"2025-12-18T19:08:34Z","intvolume":" 263","publication_status":"published","date_updated":"2025-12-18T20:14:59Z","author":[{"id":"31496","first_name":"Michael","last_name":"Winkler","full_name":"Winkler, Michael"}],"publication_identifier":{"issn":["0021-2172","1565-8511"]},"year":"2024","title":"Complete infinite-time mass aggregation in a quasilinear Keller–Segel system","doi":"10.1007/s11856-024-2618-9","language":[{"iso":"eng"}]},{"year":"2019","status":"public","title":"Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory","publication_identifier":{"issn":["0021-2172","1565-8511"]},"author":[{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_updated":"2025-12-19T10:51:33Z","publication_status":"published","intvolume":" 233","page":"249-296","_id":"63352","language":[{"iso":"eng"}],"publisher":"Springer Science and Business Media LLC","doi":"10.1007/s11856-019-1900-8","user_id":"31496","volume":233,"publication":"Israel Journal of Mathematics","issue":"1","citation":{"chicago":"Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising in Game Theory.” Israel Journal of Mathematics 233, no. 1 (2019): 249–96. https://doi.org/10.1007/s11856-019-1900-8.","short":"J. Lankeit, M. Winkler, Israel Journal of Mathematics 233 (2019) 249–296.","apa":"Lankeit, J., & Winkler, M. (2019). Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics, 233(1), 249–296. https://doi.org/10.1007/s11856-019-1900-8","ieee":"J. Lankeit and M. Winkler, “Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory,” Israel Journal of Mathematics, vol. 233, no. 1, pp. 249–296, 2019, doi: 10.1007/s11856-019-1900-8.","ama":"Lankeit J, Winkler M. Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory. Israel Journal of Mathematics. 2019;233(1):249-296. doi:10.1007/s11856-019-1900-8","bibtex":"@article{Lankeit_Winkler_2019, title={Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory}, volume={233}, DOI={10.1007/s11856-019-1900-8}, number={1}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Lankeit, Johannes and Winkler, Michael}, year={2019}, pages={249–296} }","mla":"Lankeit, Johannes, and Michael Winkler. “Counterintuitive Dependence of Temporal Asymptotics on Initial Decay in a Nonlocal Degenerate Parabolic Equation Arising in Game Theory.” Israel Journal of Mathematics, vol. 233, no. 1, Springer Science and Business Media LLC, 2019, pp. 249–96, doi:10.1007/s11856-019-1900-8."},"date_created":"2025-12-19T10:51:24Z","type":"journal_article"},{"status":"public","user_id":"178","volume":227,"page":"691–752","_id":"64631","quality_controlled":"1","citation":{"ieee":"T. P. Bywaters, H. Glöckner, and S. Tornier, “Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups,” Israel Journal of Mathematics, vol. 227, no. 2, pp. 691–752, 2018, doi: 10.1007/s11856-018-1750-9.","apa":"Bywaters, T. P., Glöckner, H., & Tornier, S. (2018). Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups. Israel Journal of Mathematics, 227(2), 691–752. https://doi.org/10.1007/s11856-018-1750-9","short":"T.P. Bywaters, H. Glöckner, S. Tornier, Israel Journal of Mathematics 227 (2018) 691–752.","chicago":"Bywaters, Timothy P., Helge Glöckner, and Stephan Tornier. “Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups.” Israel Journal of Mathematics 227, no. 2 (2018): 691–752. https://doi.org/10.1007/s11856-018-1750-9.","mla":"Bywaters, Timothy P., et al. “Contraction Groups and Passage to Subgroups and Quotients for Endomorphisms of Totally Disconnected Locally Compact Groups.” Israel Journal of Mathematics, vol. 227, no. 2, 2018, pp. 691–752, doi:10.1007/s11856-018-1750-9.","bibtex":"@article{Bywaters_Glöckner_Tornier_2018, title={Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups}, volume={227}, DOI={10.1007/s11856-018-1750-9}, number={2}, journal={Israel Journal of Mathematics}, author={Bywaters, Timothy P. and Glöckner, Helge and Tornier, Stephan}, year={2018}, pages={691–752} }","ama":"Bywaters TP, Glöckner H, Tornier S. Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups. Israel Journal of Mathematics. 2018;227(2):691–752. doi:10.1007/s11856-018-1750-9"},"date_updated":"2026-02-27T08:33:34Z","article_type":"original","intvolume":" 227","title":"Contraction groups and passage to subgroups and quotients for endomorphisms of totally disconnected locally compact groups","year":"2018","author":[{"full_name":"Bywaters, Timothy P.","first_name":"Timothy P.","last_name":"Bywaters"},{"id":"178","last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge"},{"last_name":"Tornier","first_name":"Stephan","full_name":"Tornier, Stephan"}],"publication_identifier":{"issn":["0021-2172"]},"doi":"10.1007/s11856-018-1750-9","language":[{"iso":"eng"}],"issue":"2","publication":"Israel Journal of Mathematics","type":"journal_article","keyword":["22E10","47H09","54H11"],"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T07:06:47Z"},{"quality_controlled":"1","citation":{"apa":"Glöckner, H., Gramlich, R., & Hartnick, T. (2010). Final group topologies, Kac-Moody groups and Pontryagin duality. Israel Journal of Mathematics, 177, 49–101. https://doi.org/10.1007/s11856-010-0038-5","ieee":"H. Glöckner, R. Gramlich, and T. Hartnick, “Final group topologies, Kac-Moody groups and Pontryagin duality,” Israel Journal of Mathematics, vol. 177, pp. 49–101, 2010, doi: 10.1007/s11856-010-0038-5.","short":"H. Glöckner, R. Gramlich, T. Hartnick, Israel Journal of Mathematics 177 (2010) 49–101.","chicago":"Glöckner, Helge, Ralf Gramlich, and Tobias Hartnick. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics 177 (2010): 49–101. https://doi.org/10.1007/s11856-010-0038-5.","mla":"Glöckner, Helge, et al. “Final Group Topologies, Kac-Moody Groups and Pontryagin Duality.” Israel Journal of Mathematics, vol. 177, 2010, pp. 49–101, doi:10.1007/s11856-010-0038-5.","ama":"Glöckner H, Gramlich R, Hartnick T. Final group topologies, Kac-Moody groups and Pontryagin duality. Israel Journal of Mathematics. 2010;177:49–101. doi:10.1007/s11856-010-0038-5","bibtex":"@article{Glöckner_Gramlich_Hartnick_2010, title={Final group topologies, Kac-Moody groups and Pontryagin duality}, volume={177}, DOI={10.1007/s11856-010-0038-5}, journal={Israel Journal of Mathematics}, author={Glöckner, Helge and Gramlich, Ralf and Hartnick, Tobias}, year={2010}, pages={49–101} }"},"user_id":"178","volume":177,"page":"49–101","_id":"64679","status":"public","keyword":["22E65"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"date_created":"2026-02-26T11:13:32Z","publication":"Israel Journal of Mathematics","doi":"10.1007/s11856-010-0038-5","language":[{"iso":"eng"}],"date_updated":"2026-02-27T08:23:45Z","article_type":"original","intvolume":" 177","year":"2010","title":"Final group topologies, Kac-Moody groups and Pontryagin duality","publication_identifier":{"issn":["0021-2172"]},"author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"},{"full_name":"Gramlich, Ralf","first_name":"Ralf","last_name":"Gramlich"},{"last_name":"Hartnick","first_name":"Tobias","full_name":"Hartnick, Tobias"}]},{"date_created":"2026-02-26T11:50:44Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"journal_article","keyword":["47J07","47S10","58B10","58C15","46T05"],"publication":"Israel Journal of Mathematics","extern":"1","language":[{"iso":"eng"}],"doi":"10.1007/BF02773955","author":[{"last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge","id":"178"}],"publication_identifier":{"issn":["0021-2172"]},"year":"2006","title":"Implicit functions from topological vector spaces to Banach spaces","intvolume":" 155","article_type":"original","date_updated":"2026-02-27T08:00:51Z","citation":{"ama":"Glöckner H. Implicit functions from topological vector spaces to Banach spaces. Israel Journal of Mathematics. 2006;155:205–252. doi:10.1007/BF02773955","bibtex":"@article{Glöckner_2006, title={Implicit functions from topological vector spaces to Banach spaces}, volume={155}, DOI={10.1007/BF02773955}, journal={Israel Journal of Mathematics}, author={Glöckner, Helge}, year={2006}, pages={205–252} }","mla":"Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach Spaces.” Israel Journal of Mathematics, vol. 155, 2006, pp. 205–252, doi:10.1007/BF02773955.","chicago":"Glöckner, Helge. “Implicit Functions from Topological Vector Spaces to Banach Spaces.” Israel Journal of Mathematics 155 (2006): 205–252. https://doi.org/10.1007/BF02773955.","short":"H. Glöckner, Israel Journal of Mathematics 155 (2006) 205–252.","apa":"Glöckner, H. (2006). Implicit functions from topological vector spaces to Banach spaces. Israel Journal of Mathematics, 155, 205–252. https://doi.org/10.1007/BF02773955","ieee":"H. Glöckner, “Implicit functions from topological vector spaces to Banach spaces,” Israel Journal of Mathematics, vol. 155, pp. 205–252, 2006, doi: 10.1007/BF02773955."},"quality_controlled":"1","_id":"64694","page":"205–252","volume":155,"user_id":"178","status":"public"}]