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

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 coupling argument for Markov processes, and an abstract result on large- time asymptotic for generalised Markov semigroups.
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Contributor : Armen Shirikyan <>
Submitted on : Wednesday, October 15, 2014 - 9:50:28 AM
Last modification on : Friday, March 22, 2019 - 11:46:51 AM
Long-term archiving on : Friday, January 16, 2015 - 10:16:46 AM

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  • HAL Id : hal-00760418, version 2
  • ARXIV : 1212.0527

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Vojkan Jaksic, Vahagn Nersesyan, Claude-Alain Pillet, Armen Shirikyan. Large deviations from a stationary measure for a class of dissipative PDE's with random kicks. Communications in Pure and Applied Mathematics, 2015, 68 (12), pp.2108-2143. ⟨hal-00760418v2⟩

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