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

Offers an introduction to large deviations. This book is divided into two parts: theory and
applications. It presents basic large deviation theorems for iid sequences, Markov …

We have experimentally determined a phase diagram for cylinder-forming polystyrene-block-
polybutadien-block-polystyrene triblock copolymer in thin films. The phase behavior can be …

These notes on random walks in random environments (RWRE) reflect what I hoped to
cover in the 15 hours of the St Flour course on this topic, July 9–25, 2001. Of course, this …

The principal purpose of this book is to provide an account of the circle of ideas, results and
techniques, which emerged roughly over the last ten years in the study of Brownian motion …

This book provides an introduction to the mathematical theory of disorder effects on quantum
spectra and dynamics. Topics covered range from the basic theory of spectra and dynamics …

This review is an extended version of my mini course at the Etats de la recherche:
Operateurs de Schroedinger aleatoires at the Universite Paris 13 in June 2002, a summer …

We derive a law of large numbers for a class of multidimensional random walks in random
environment satisfying a condition which first appeared in the work of Kalikow. The …

For metric measure spaces satisfying the reduced curvature–dimension condition CD∗(K,
N) we prove a series of sharp functional inequalities under the additional “essentially …

Over the last twenty-five years random motions in random media have been intensively
investigated and some new general methods and paradigms have by now emerged …