Overview

This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials.This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.

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9781860947865

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The book is very clearly and carefully written. Many of the proofs are different from (and simpler than) the proofs which originally appeared in the literature. Although the book is written from the point of view of a probabilist, people whose main interests are in combinatorics or statistical mechanics will have no difficulty following the argumen -- Mathematical Reviews Mathematical Reviews

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