Hardcover ISBN:  9780821846711 
Product Code:  PCMS/16 
List Price:  $84.00 
MAA Member Price:  $75.60 
AMS Member Price:  $67.20 
Electronic ISBN:  9781470416300 
Product Code:  PCMS/16.E 
List Price:  $79.00 
MAA Member Price:  $71.10 
AMS Member Price:  $63.20 

Book DetailsIAS/Park City Mathematics SeriesVolume: 16; 2009; 360 ppMSC: Primary 82; 60; 30; 05; 15; 81;
In recent years, statistical mechanics has been increasingly recognized as a central domain of mathematics. Major developments include the Schramm–Loewner evolution, which describes twodimensional phase transitions, random matrix theory, renormalization group theory and the fluctuations of random surfaces described by dimers. The lectures contained in this volume present an introduction to recent mathematical progress in these fields. They are designed for graduate students in mathematics with a strong background in analysis and probability.
This book will be of particular interest to graduate students and researchers interested in modern aspects of probability, conformal field theory, percolation, random matrices and stochastic differential equations.ReadershipGraduate students and research mathematicians interested in probability and its applications in mathematics and physics.

Table of Contents

Chapters

Introduction

Lectures on the renormalisation group

Statistical mechanics and random matrices

Lectures on dimers

SchrammLoewner evolution (SLE)

Lectures on twodimensional critical percolation


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In recent years, statistical mechanics has been increasingly recognized as a central domain of mathematics. Major developments include the Schramm–Loewner evolution, which describes twodimensional phase transitions, random matrix theory, renormalization group theory and the fluctuations of random surfaces described by dimers. The lectures contained in this volume present an introduction to recent mathematical progress in these fields. They are designed for graduate students in mathematics with a strong background in analysis and probability.
This book will be of particular interest to graduate students and researchers interested in modern aspects of probability, conformal field theory, percolation, random matrices and stochastic differential equations.
Graduate students and research mathematicians interested in probability and its applications in mathematics and physics.

Chapters

Introduction

Lectures on the renormalisation group

Statistical mechanics and random matrices

Lectures on dimers

SchrammLoewner evolution (SLE)

Lectures on twodimensional critical percolation