[{"publication_identifier":{"issn":["0021-2172","1565-8511"]},"publication_status":"published","year":"2025","citation":{"chicago":"Seguin, Beranger Fabrice. “Counting Components of Hurwitz Spaces.” Israel Journal of Mathematics, 2025. https://doi.org/10.1007/s11856-025-2848-5.","ieee":"B. F. Seguin, “Counting Components of Hurwitz Spaces,” Israel Journal of Mathematics, 2025, doi: 10.1007/s11856-025-2848-5.","ama":"Seguin BF. Counting Components of Hurwitz Spaces. Israel Journal of Mathematics. Published online 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).","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} }"},"date_updated":"2025-12-12T23:12:23Z","publisher":"Springer Science and Business Media LLC","author":[{"first_name":"Beranger Fabrice","full_name":"Seguin, Beranger Fabrice","id":"102487","last_name":"Seguin"}],"date_created":"2025-12-12T23:09:07Z","title":"Counting Components of Hurwitz Spaces","doi":"10.1007/s11856-025-2848-5","publication":"Israel Journal of Mathematics","type":"journal_article","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"}],"status":"public","_id":"63078","user_id":"102487","language":[{"iso":"eng"}]},{"publisher":"Springer Science and Business Media LLC","date_updated":"2025-12-18T20:14:59Z","volume":263,"author":[{"id":"31496","full_name":"Winkler, Michael","last_name":"Winkler","first_name":"Michael"}],"date_created":"2025-12-18T19:08:34Z","title":"Complete infinite-time mass aggregation in a quasilinear Keller–Segel system","doi":"10.1007/s11856-024-2618-9","publication_identifier":{"issn":["0021-2172","1565-8511"]},"publication_status":"published","issue":"1","year":"2024","intvolume":" 263","page":"93-127","citation":{"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","short":"M. Winkler, Israel Journal of Mathematics 263 (2024) 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.","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} }","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","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.","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."},"_id":"63262","user_id":"31496","language":[{"iso":"eng"}],"publication":"Israel Journal of Mathematics","type":"journal_article","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."}],"status":"public"},{"status":"public","type":"journal_article","publication":"Israel Journal of Mathematics","language":[{"iso":"eng"}],"user_id":"31496","_id":"63352","citation":{"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","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.","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.","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.","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"},"page":"249-296","intvolume":" 233","year":"2019","issue":"1","publication_status":"published","publication_identifier":{"issn":["0021-2172","1565-8511"]},"doi":"10.1007/s11856-019-1900-8","title":"Counterintuitive dependence of temporal asymptotics on initial decay in a nonlocal degenerate parabolic equation arising in game theory","author":[{"full_name":"Lankeit, Johannes","last_name":"Lankeit","first_name":"Johannes"},{"first_name":"Michael","id":"31496","full_name":"Winkler, Michael","last_name":"Winkler"}],"date_created":"2025-12-19T10:51:24Z","volume":233,"date_updated":"2025-12-19T10:51:33Z","publisher":"Springer Science and Business Media LLC"}]