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math.PR2026
Propagation of chaos in Fisher information
Jules Grass, Arnaud Guillin, Christophe Poquet
We present a new method for proving sharp local propagation of chaos in Fisher Information for particles with smooth interaction and drift. We rely on a new Lemma computing the Fis…
math.PR2026
Weak Functional Inequalities for Perturbed Measures
Patrick Cattiaux, Paula Cordero-Encinar, Arnaud Guillin
This paper is a follow up to an article by two of the authors dedicated to the study of Poincaré and logarithmic Sobolev inequalities for measures of the form wh…
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…