35 citations · 161 across the 26 of their papers we have counts for
18 papers · 1 filter
Long-time behaviors of mean-field interacting particle systems related to McKean-Vlasov equations
Wei Liu, Liming Wu, Chaoen Zhang
In this paper, we investigate gradient estimate of the Poisson equation and the exponential convergence in the Wasserstein metric , uniform in the number of particle…
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…
Ricci curvature and -exponential convergence of Markov processes on graphs
Lingyan Cheng, Ruinan Li, Liming Wu
In this paper, we show that the Ricci curvature lower bound in Ollivier's Wasserstein metric sense of a continuous time jumping Markov process on a graph can be characterized by so…
Large deviations for empirical measures of mean field Gibbs measures
Wei Liu, Liming Wu
In this paper, we show that the empirical measure of mean-field model satisfies the large deviation principle with respect to the weak convergence topology or the stronger Wasserst…
Exponential convergence in the Wasserstein metric for one dimensional diffusions
Lingyan Cheng, Ruinan Li, Liming Wu
In this paper, we find some general and efficient sufficient conditions for the exponential convergence for the semigroup $…
Centered Sobolev inequality and exponential convergence in -entropy
Lingyan Cheng, Liming Wu
In this short paper we find that the Sobolev inequality () is equival…