Diffusion in a locally stationary random environment
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- Rhodes, R. Probab. Theory Relat. Fields (2009) 143: 545. doi:10.1007/s00440-007-0135-5
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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.