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math.PR2026
Existence, Uniqueness, Feller Property and Diricihlet form of the Keller-Segel particle system up to blow up
Yoan Tardy
The Keller-Segel particle system as defined in \cite{ft} through the Dirichlet form theory (see \cite{f}) consists of planar Brownian motions interacting through the kernel $x\…
math.PR2022★ 1 cited
Weak convergence of the empirical measure for the Keller-Segel model in both subcritical and critical cases
Yoan Tardy
We show the weak convergence, up to extraction of a subsequence, of the empirical measure for the Keller-Segel system of particles in both subcritical and critical cases, for gener…
math.PR2021
Collisions of the supercritical Keller-Segel particle system
Nicolas Fournier, Yoan Tardy
We study a particle system naturally associated to the -dimensional Keller-Segel equation. It consists of Brownian particles in the plane, interacting through a binary attra…