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math.PR2019
Uniform Poincar{é} and logarithmic Sobolev inequalities for mean field particles systems
Arnaud Guillin, Wei Liu, Liming Wu +1
In this paper we establish some explicit and sharp estimates of the spectral gap and the log-Sobolev constant for mean field particles system, uniform in the number of particles, w…
math.PR2017★ 3 cited
Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities
Patrick Cattiaux, Arnaud Guillin, Pierre Monmarché +1
In his work about hypocercivity, Villani [18] considers in particular convergence to equilibrium for the kinetic Langevin process. While his convergence results in L 2 are given in…