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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.AP2026
Strong well-posedness of a singular SDE for signed Coulomb particles
Patrick van Meurs, Yoan Tardy
We consider an SDE system for signed Coulomb particles moving in . Due to the singular Coulomb interaction force, collisions between particles of opposite sign will ha…