4 Contributo in Atti di Convegno (Proceeding)

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Central limit theorem for finite and infinite dimensional diffusions in ergodic environments

In this article, we introduce a central limit theorem for the solution to a 1-dimensional stochastic heat equation with a random, ergodic non-linear term. Since it can be viewed as an infinite dimensional diffusion in random environment, we first summarize the ideas in the classical central limit theorem for finite dimensional diffusion in random environment. Afterward, we illustrate the strategy to extend these ideas to stochastic heat equations, and explain the main differences between fini...

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