This volume contains lectures given at the 31st Probability Summer School in Saint-Flour (July 8-25, 2001). Simon Tavaré’s lectures serve as an introduction

This is the second volume of a two-volume work devoted to probability theory in physical chemistry, and engineering. Rather than dealing explicitly with the ide

The simplest mathematical model of the Brownian motion of physics is the simple, symmetric random walk. This book collects and compares current results — most

Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular empha