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

Ran Wang; Jie Xiong; Lihu Xu

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arXiv · 1510.03522

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

Ran Wang·Jie Xiong·Lihu Xu

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Abstract

We establish a large deviation principle for the occupation measure of the stochastic real Ginzburg-Landau equation driven by $\alpha$-stable noises. The proof is based on a hyper-exponential recurrence criterion. Our result indicates a phenomenon that strong dissipation beats heavy tailed noises to produce a large deviation, it seems to us that this phenomenon has not been reported in the known literatures.

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Ran Wang, Jie Xiong, Lihu Xu. 2015-10-13. Large deviation principle of occupation measure for stochastic real Ginzburg-Landau equation driven by $\alpha$-stable noises. https://arxiv.org/abs/1510.03522

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