9 citations · 24 across the 21 of their papers we have counts for
7 papers · 1 filter
Large deviations for stochastic differential delay equations with Lévy noises
Yumeng Li, Ran Wang, Nian Yao +1
In this paper, we establish a large deviation principle for stochastic differential delay equations driven by both Brownian motions and Poisson random measures. The weak convergenc…
Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by -stable noises
Ran Wang, Jie Xiong, Lihu Xu
We establish a large deviation principle for the occupation measure of the stochastic real Ginzburg-Landau equation driven by -stable noises. The proof is based on a hyper-expon…
Irreducibility of stochastic real Ginzburg-Landau equation driven by -stable noises and applications
Ran Wang, Jie Xiong, Lihu Xu
We establish the irreducibility of stochastic real Ginzburg-Landau equation with -stable noises by a maximal inequality and solving a control problem. As applications, we prove…
Moderate deviations for a fractional stochastic heat equation with spatially correlated noise
Yumeng Li, Ran Wang, Nian Yao +1
In this paper, we study the Moderate Deviation Principle for a perturbed stochastic heat equation in the whole space $\rr^d, d\ge1$. This equation is driven by a Gaussian noise, wh…
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…
Exponential mixing for stochastic model of two-dimensional second grade fluids
Ran Wang, Jianliang Zhai, Tusheng Zhang
In this paper, we establish the exponential mixing property of stochastic models for the incompressible second grade fluid. The general criterion established by Cyril Odasso plays…