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arXiv · 1510.01904

Irreducibility of stochastic real Ginzburg-Landau equation driven by $α$-stable noises and applications

Ran Wang·Jie Xiong·Lihu Xu
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Abstract

We establish the irreducibility of stochastic real Ginzburg-Landau equation with $α$-stable noises by a maximal inequality and solving a control problem. As applications, we prove that the system converges to its equilibrium measure with exponential rate under a topology stronger than total variation and obeys the moderate deviation principle by constructing some Lyapunov test functions.

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Ran Wang, Jie Xiong, Lihu Xu. 2015-10-07. Irreducibility of stochastic real Ginzburg-Landau equation driven by $α$-stable noises and applications. https://arxiv.org/abs/1510.01904

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