Displaying similar documents to “Large deviation principle of occupation measure for stochastic Burgers equation”

Uniform exponential ergodicity of stochastic dissipative systems

Beniamin Goldys, Bohdan Maslowski (2001)

Czechoslovak Mathematical Journal

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We study ergodic properties of stochastic dissipative systems with additive noise. We show that the system is uniformly exponentially ergodic provided the growth of nonlinearity at infinity is faster than linear. The abstract result is applied to the stochastic reaction diffusion equation in ℝ d with d ≤ 3 .

The ODE method for some self-interacting diffusions on ℝd

Aline Kurtzmann (2010)

Annales de l'I.H.P. Probabilités et statistiques

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The aim of this paper is to study the long-term behavior of a class of self-interacting diffusion processes on ℝ. These are solutions to SDEs with a drift term depending on the actual position of the process and its normalized occupation measure . These processes have so far been studied on compact spaces by Benaïm, Ledoux and Raimond, using stochastic approximation methods. We extend these methods to ℝ, assuming a confinement potential satisfying some conditions. These...