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math.PR2025
Derivative formula for capacities
Amine Asselah, Bruno Schapira, Perla Sousi
We obtain a derivative formula for various notions of capacity. Namely we identify the second order term in the asymptotic expansion of the capacity of a union of two sets, as thei…
math.PR2025
Non triviality of the percolation threshold and Gumbel fluctuations for Branching Interlacements
Bruno Schapira
We consider the model of Branching Interlacements, introduced by Zhu, which is a natural analogue of Sznitman's Random Interlacements model, where the random walk trajectories are…
math.PR2024
Sharp propagation of chaos for McKean-Vlasov equation with non constant diffusion coefficient
Jules Grass, Arnaud Guillin, Christophe Poquet
We present a method to obtain sharp local propagation of chaos results for a system of N particles with a diffusion coefficient that it not constant and may depend of the empirical…