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

This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, ran

This Festschrift on the occasion of the 75th birthday of S.R.S. Varadhan, one of the most influential researchers in probability of the last fifty years, grew o

This volume is a collection of lecture notes for six of the ten courses given in Buzios, Brazil by prominent probabilists at the 2010 Clay Mathematics Institute

Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical