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arXiv · 1212.0527

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

Vojkan Jaksic·Vahagn Nersesyan·Claude-Alain Pillet·Armen Shirikyan
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Abstract

We study a class of dissipative PDE's perturbed by a bounded random kick force. It is assumed that the random force is non-degenerate, so that the Markov process obtained by the restriction of solutions to integer times has a unique stationary measure. The main result of the paper is a large deviation principle for occupation measures of the Markov process in question. The proof is based on Kifer's large deviation criterion, a Lyapunov-Schmidt type reduction, and an abstract result on large-time asymptotic for generalised Markov semigroups.

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Vojkan Jaksic, Vahagn Nersesyan, Claude-Alain Pillet, Armen Shirikyan. 2012-12-03. Large deviations from a stationary measure for a class of dissipative PDE's with random kicks. https://arxiv.org/abs/1212.0527

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