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math.PR2012★ 3 cited
Large deviations and transitions between equilibria for stochastic Landau-Lifshitz-Gilbert equation
Z. Brzeźniak, B. Goldys, T. Jegaraj
We study a stochastic Landau-Lifshitz equation on a bounded interval and with finite dimensional noise. We first show that there exists a pathwise unique solution to this equation…
math.PR2010
Small time asymptotics for stochastic evolution equations
Terence Jegaraj
We obtain a large deviation principle describing the small time asymptotics of the solution of a stochastic evolution equation with multiplicative noise. Our assumptions are a cond…