50 citations · 153 across the 53 of their papers we have counts for
5 papers · 2 filters
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…
The Large Deviation Principle and Steady-state Fluctuation Theorem for the Entropy Production Rate of a Stochastic Process in Magnetic Fields
Yong Chen, Hao Ge, Jie Xiong +1
Fluctuation theorem is one of the major achievements in the field of nonequilibrium statistical mechanics during the past two decades. Steady-state fluctuation theorem of sample en…
Asymptotics of Sample Entropy Production Rate for Stochastic Differential Equations
Feng-Yu Wang, Jie Xiong, Lihu Xu
By using the dimension-free Harnack inequality and the integration by parts formula for the associated diffusion semigroup, we prove the central limit theorem, the moderate deviati…
A Moderate Deviation Principle for 2-D Stochastic Navier-Stokes Equations Driven by Multiplicative Lévy Noises
Zhao Dong, Jie Xiong, Jianliang Zhai +1
In this paper, we establish a moderate deviation principle for two-dimensional stochastic Navier-Stokes equations driven by multiplicative noises. The weak convergen…