**IAS/Park City Mathematics Series**

Volume: 16;
2009;
360 pp;
Hardcover

MSC: Primary 82; 60; 30; 05; 15; 81;

Print ISBN: 978-0-8218-4671-1

Product Code: PCMS/16

List Price: $79.00

Individual Member Price: $63.20

**Electronic ISBN: 978-1-4704-1630-0
Product Code: PCMS/16.E**

List Price: $79.00

Individual Member Price: $63.20

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# Statistical Mechanics

Share this page *Edited by *
*Scott Sheffield; Thomas Spencer*

A co-publication of the AMS and IAS/Park City Mathematics Institute

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.

Titles in this series are co-published with the Institute
for Advanced Study/Park City Mathematics Institute. Members of the
Mathematical Association of America (MAA) and the National Council of
Teachers of Mathematics (NCTM) receive a 20% discount from list
price. *NOTE: This discount does not apply to volumes in this
series co-published with the Society for Industrial and Applied
Mathematics (SIAM).*

#### Table of Contents

# Table of Contents

## Statistical Mechanics

- Cover Cover11
- Title page iv5
- Contents vi7
- Preface xii13
- Introduction 116
- Lectures on the renormalisation group 722
- Statistical mechanics and random matrices 95110
- Lectures on dimers 191206
- Schramm-Loewner evolution (SLE) 231246
- Lectures on two-dimensional critical percolation 297312
- Back Cover Back Cover1377

#### Readership

Graduate students and research mathematicians interested in probability and its applications in mathematics and physics.