Large deviation principle of occupation measure for stochastic Burgers equation |
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Authors: | Mathieu Gourcy |
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Affiliation: | Laboratoire de Mathématiques, CNRS-UMR 6620, Université Blaise Pascal, 63177 Aubière, France |
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Abstract: | In this paper we obtain a Large Deviation Principle for the occupation measure of the solution to a stochastic Burgers equation which describes the exact rate of exponential convergence. This Markov process is strongly Feller and has a unique invariant measure. Moreover, the rate function is explicit: it is the level-2 entropy of Donsker-Varadhan. |
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Keywords: | 60F10 60J35 35Q53 |
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