Random walks in random environments and their diffusion analogues have been a source
of surprising phenomena and challenging problems, especially in the non-reversible …

Abstract The theory of Large Deviations deals with techniques for estimating probabilities of
rare events. These probabilities are exponentially small in a natural parameter and the task …

We introduce a new variational method for the numerical homogenization of divergence
form elliptic, parabolic and hyperbolic equations with arbitrary rough (L∞) coefficients. Our …

Homogenization is an important mathematical framework for developing effective models of
differential equations with oscillations. We include in the presentation techniques for …

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or
interfaces in random media) to senior undergraduates and beginning grad uate students …

MS&A publishes advanced textbooks and research-level monographs that will illustrate the
scientific foundations of the modeling and simulation process as well as concrete instances …

We establish a logarithmic-type rate of convergence for the homogenization of fully
nonlinear uniformly elliptic second-order pde in strongly mixing media with similar, ie …

We study the homogenization of fully nonlinear degenerate second-order pde, with
“ellipticity” of the same order as the space oscillations, in periodic and almost periodic. As a …

We study the asymptotic behavior for an inhomogeneous multiscale stochastic dynamical
system with non-smooth coefficients. Depending on the averaging regime and the …

We study random homogenization of second-order, degenerate and quasilinear Hamilton–
Jacobi equations which are positively homogeneous in the gradient. Included are the …