Displaying similar documents to “Approximations of effective coefficients in stochastic homogenization”

On homogenization of space-time dependent and degenerate random flows II

Rémi Rhodes (2008)

Annales de l'I.H.P. Probabilités et statistiques

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We study the long time behavior (homogenization) of a diffusion in random medium with time and space dependent coefficients. The diffusion coefficient may degenerate. In (2007) (to appear), an invariance principle is proved for the critical rescaling of the diffusion. Here, we generalize this approach to diffusions whose space-time scaling differs from the critical one.

Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix

Rémi Rhodes (2009)

Annales de l'I.H.P. Probabilités et statistiques

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This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims to give a macroscopic approximation that takes into account the microscopic heterogeneities. This paper follows [ (2009)] and improves this latter work by considering possibly...

Variance decay for functionals of the environment viewed by the particle

Jean-Christophe Mourrat (2011)

Annales de l'I.H.P. Probabilités et statistiques

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For the random walk among random conductances, we prove that the environment viewed by the particle converges to equilibrium polynomially fast in the variance sense, our main hypothesis being that the conductances are bounded away from zero. The basis of our method is the establishment of a Nash inequality, followed either by a comparison with the simple random walk or by a more direct analysis based on a martingale decomposition. As an example of application, we show that under certain...

Tail estimates for homogenization theorems in random media

Daniel Boivin (2009)

ESAIM: Probability and Statistics

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Consider a random environment in ℤ d given by i.i.d. conductances. In this work, we obtain tail estimates for the fluctuations about the mean for the following characteristics of the environment: the effective conductance between opposite faces of a cube, the diffusion matrices of periodized environments and the spectral gap of the random walk in a finite cube.