36 citations · 143 across the 56 of their papers we have counts for
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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…
Exponential mixing for SPDEs driven by highly degenerate Lévy noises
Xiaobin Sun, Yingchao Xie, Lihu Xu
By a coupling method, we prove that a family of stochastic partial differential equations (SPDEs) driven by highly degenerate pure jump Lévy noises are exponential mixing. These pu…
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…