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Critical Homogenization of SDEs Driven by a Levy Process in Random Medium

Rhodes, Rémi; Sow, Bamba A. (2011), Critical Homogenization of SDEs Driven by a Levy Process in Random Medium, Stochastic Analysis and Applications, 29, 5, p. 838-859. http://dx.doi.org/10.1080/07362994.2011.598795

Type
Article accepté pour publication ou publié
External document link
http://arxiv.org/abs/0906.3569v1
Date
2011
Journal name
Stochastic Analysis and Applications
Volume
29
Number
5
Publisher
Taylor & Francis
Pages
838-859
Publication identifier
Metadata
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Author(s)
Rhodes, Rémi
Sow, Bamba A.
Abstract (EN)
We are concerned with homogenization of stochastic differential equations (SDE) with stationary coefficients driven by Poisson random measures and Brownian motions in the critical case, that is, when the limiting equation admits both a Brownian part as well as a pure jump part. We state an annealed convergence theorem. This problem is deeply connected with homogenization of integral partial differential equations.
Subjects / Keywords
Ergodicity; Homogenization; Integro-differential operators; Itô-Lévy processes; Random medium