Statistical Mechanics ( IAS/Park City Mathematics Series )

Publication series :IAS/Park City Mathematics Series

Author: Scott Sheffield;Thomas Spencer  

Publisher: American Mathematical Society‎

Publication year: 2009

E-ISBN: 9781470416300

P-ISBN(Paperback): 9780821846711

Subject: O414.2 statistical physics

Keyword: 暂无分类

Language: ENG

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Statistical Mechanics

Description

In recent years, statistical mechanics has been increasingly recognized as a central domain of mathematics. Major developments include the Schramm–Loewner evolution, which describes two-dimensional 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.

Chapter

Title page

Contents

Preface

Introduction

Lectures on the renormalisation group

Statistical mechanics and random matrices

Lectures on dimers

Schramm-Loewner evolution (SLE)

Lectures on two-dimensional critical percolation

Back Cover

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