About this Title
Scott Sheffield, Massachusetts Institute of Technology, Cambridge, MA and Thomas Spencer, Institute for Advanced Study, Princeton, NJ, Editors
Publication: IAS/Park City Mathematics Series
Publication Year: 2009; Volume 16
ISBNs: 978-0-8218-4671-1 (print); 978-1-4704-1630-0 (online)
MathSciNet review: MR2516513
MSC: Primary 82-06
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.
Graduate students and research mathematicians interested in probability and its applications in mathematics and physics.
Table of Contents
- Lectures on the renormalisation group
- Statistical mechanics and random matrices
- Lectures on dimers
- Schramm-Loewner evolution (SLE)
- Lectures on two-dimensional critical percolation