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Large deviations from a stationary measure for a class of dissipative PDE ’ s with random kicks
| Content Provider | Semantic Scholar |
|---|---|
| Author | Jaksic, Vojkan Nersesyan, V. Pillet, C.-A. Shirikyan, Armen |
| Copyright Year | 2012 |
| 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 largetime asymptotic for generalised Markov semigroups. AMS subject classifications: 35Q30, 76D05, 60B12, 60F10 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00760418v2/document |
| Alternate Webpage(s) | https://hal.archives-ouvertes.fr/hal-00760418/document |
| Alternate Webpage(s) | https://hal-univ-avignon.archives-ouvertes.fr/hal-00760418v2/document |
| Alternate Webpage(s) | http://www.math.mcgill.ca/jaksic/papers_pdf/LD-NS.pdf |
| Alternate Webpage(s) | http://www.math.mcgill.ca/jaksic/papers_pdf/LDP.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Assumed Classification Cyclic Nucleotide Phosphodiesterases, Type 6, gamma Subunit Integer (number) Lyapunov fractal Markov chain Schmidt decomposition Solutions Stationary process Verilog-AMS |
| Content Type | Text |
| Resource Type | Article |