Abstract
This paper deals with homogenization of diffusion processes in a locally stationary random environment. Roughly speaking, such an environment possesses two evolution scales: both a fast microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims at giving a macroscopic approximation that takes into account the microscopic heterogeneities.
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Rhodes, R. Diffusion in a locally stationary random environment. Probab. Theory Relat. Fields 143, 545–568 (2009). https://doi.org/10.1007/s00440-007-0135-5
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DOI: https://doi.org/10.1007/s00440-007-0135-5