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math.PR2014
Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by -stable noises
Ran Wang, Jie Xiong, Lihu Xu
We shall establish a large deviation principle for some occupation measure of the stochastic real Ginzburg-Landau equation driven by -stable noises. As a consequence, we obtain…
math.PR2014★ 2 cited
Moderate Deviation Principle for a Class of SPDEs
Parisa Fatheddin, Jie Xiong
We establish the moderate deviation principle for the solutions of a class of stochastic partial differential equations with non-Lipschitz continuous coefficients. As an applicatio…
math.PR2014★ 1 cited
Annealed asymptotics for Brownian motion of renormalized potential in mobile random medium
Xia Chen, Jie Xiong
Motivated by the study of the directed polymer model with mobile Poissonian traps or catalysts and the stochastic parabolic Anderson model with time dependent potential, we investi…