| Hardcover ISBN: | 978-0-8218-4671-1 |
| Product Code: | PCMS/16 |
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| eBook ISBN: | 978-1-4704-1630-0 |
| Product Code: | PCMS/16.E |
| List Price: | $112.00 |
| MAA Member Price: | $100.80 |
| AMS Member Price: | $89.60 |
| Hardcover ISBN: | 978-0-8218-4671-1 |
| eBook: ISBN: | 978-1-4704-1630-0 |
| Product Code: | PCMS/16.B |
| List Price: | $237.00 $181.00 |
| MAA Member Price: | $213.30 $162.90 |
| AMS Member Price: | $189.60 $144.80 |
| Hardcover ISBN: | 978-0-8218-4671-1 |
| Product Code: | PCMS/16 |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-1-4704-1630-0 |
| Product Code: | PCMS/16.E |
| List Price: | $112.00 |
| MAA Member Price: | $100.80 |
| AMS Member Price: | $89.60 |
| Hardcover ISBN: | 978-0-8218-4671-1 |
| eBook ISBN: | 978-1-4704-1630-0 |
| Product Code: | PCMS/16.B |
| List Price: | $237.00 $181.00 |
| MAA Member Price: | $213.30 $162.90 |
| AMS Member Price: | $189.60 $144.80 |
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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 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.
ReadershipGraduate students and research mathematicians interested in probability and its applications in mathematics and physics.
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Table of Contents
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Chapters
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Introduction
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Lectures on the renormalisation group
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Statistical mechanics and random matrices
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Lectures on dimers
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Schramm-Loewner evolution (SLE)
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Lectures on two-dimensional critical percolation
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
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.
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
-
Schramm-Loewner evolution (SLE)
-
Lectures on two-dimensional critical percolation
