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

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.

arXiv commentThis paper fills the gap in the paper arXiv:1410.7247 which has been withdrawn. We complete the proof in arXiv:1410.7247. arXiv admin note: text overlap with arXiv:1510.01904

References in corpus (1)

• Large deviations from a stationary measure for a class of dissipative PDE's with random kicks