6 citations · 10 across the 4 of their papers we have counts for
4 papers
Transportation cost inequalities for stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms
Yutao Ma, Ran Wang
For stochastic reaction-diffusion equations with Lévy noises and non-Lipschitz reaction terms, we prove that transportation cost inequalities hold for their invariant probab…
Log-Sobolev, isoperimetry and transport inequalities on graphs
Yutao Ma, Ran Wang, Liming Wu
In this paper, we study some functional inequalities (such as Poincaré inequalities, logarithmic Sobolev inequalities, generalized Cheeger isoperimetric inequalities, transportatio…
Moderate Deviation Principle for dynamical systems with small random perturbation
Yutao ma, Ran Wang, Liming Wu
Consider the stochastic differential equation in $\rr^d$ dX^{\e}_t&=b(X^{\e}_t)dt+\sqrt{\e}σ(X^\e_t)dB_t X^{\e}_0&=x_0,\quad x_0\in\rr^db:\rr^d\to\rr^dC^1$ such that…
Transportation inequalities: From Poisson to Gibbs measures
Yutao Ma, Shi Shen, Xinyu Wang +1
We establish an optimal transportation inequality for the Poisson measure on the configuration space. Furthermore, under the Dobrushin uniqueness condition, we obtain a sharp trans…