Scaling limits for symmetric Ito-Levy processes in random medium

Remi Rhodes; Vincent Vargas

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arXiv · 0812.3904

Scaling limits for symmetric Ito-Levy processes in random medium

Remi Rhodes·Vincent Vargas

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Abstract

We are concerned with scaling limits of the solutions to stochastic differential equations with stationary coefficients driven by Poisson random measures and Brownian motions. We state an annealed convergence theorem, in which the limit exhibits a diffusive or superdiffusive behavior, depending on the integrability properties of the Poisson random measure

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Remi Rhodes, Vincent Vargas. 2008-12-26. Scaling limits for symmetric Ito-Levy processes in random medium. https://arxiv.org/abs/0812.3904

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