Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by α-stable noises

2014/10/27 by Ran Wang, Jie Xiong, Wang, Ran +3
Economics, Econometrics and Finance · Mathematics · #FOS: Mathematics #Probability (math.PR) #Stochastic processes and financial applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1410.7247

openalex publication_date 2014/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We shall establish a large deviation principle for some occupation measure of the stochastic real Ginzburg-Landau equation driven by α-stable noises. As a consequence, we obtain the exact rate of exponential ergodicity of the stochastic system under τ-topology.

Related

• Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by α-stable noises
• Large deviation principle of occupation measures for Non-linear monotone SPDEs
• Irreducibility of stochastic real Ginzburg-Landau equation driven by α-stable noises and applications
• Large deviation principle for stochastic generalized Ginzburg-Landau equation driven by jump noise
• Ergodicity of stochastic real Ginzburg-Landau equation driven by α-stable noises