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| Hardcover ISBN: | 978-1-4704-2248-6 |
| eBook: ISBN: | 978-1-4704-2883-9 |
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| Hardcover ISBN: | 978-1-4704-2248-6 |
| Product Code: | PSPUM/91 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-1-4704-2883-9 |
| Product Code: | PSPUM/91.E |
| List Price: | $135.00 |
| MAA Member Price: | $121.50 |
| AMS Member Price: | $108.00 |
| Hardcover ISBN: | 978-1-4704-2248-6 |
| eBook ISBN: | 978-1-4704-2883-9 |
| Product Code: | PSPUM/91.B |
| List Price: | $274.00 $206.50 |
| MAA Member Price: | $246.60 $185.85 |
| AMS Member Price: | $219.20 $165.20 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 91; 2016; 471 ppMSC: Primary 60; 82; 05
This book brings a reader to the cutting edge of several important directions of the contemporary probability theory, which in many cases are strongly motivated by problems in statistical physics. The authors of these articles are leading experts in the field and the reader will get an exceptional panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, conformal field theory, etc., making modern probability one of the most vibrant areas in mathematics.
ReadershipGraduate students and research mathematicians interested in recent developments in probability and statistical physics and random structures in mathematics.
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Table of Contents
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Articles
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Yuri Bakhtin — Ergodic theory of the Burgers equation
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Vincent Beffara and Hugo Duminil-Copin — Critical point and duality in planar lattice models
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Gérard Ben Arous and Alexander Fribergh — Biased random walks on random graphs
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Alexei Borodin and Vadim Gorin — Lectures on integrable probability
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Yinshan Chang and Yves Le Jan — Markov loops in discrete spaces
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Alice Guionnet — Random matrices and the Potts model on random graphs
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Júlia Komjáthy and Yuval Peres — Topics in Markov chains: Mixing and escape rate
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Gregory F. Lawler — Random walk problems motivated by statistical physics
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Grigori Olshanski — Markov dynamics on the dual object to the infinite-dimensional unitary group
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Mikhail Sodin — Lectures on random nodal portraits
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A. Vershik — Smoothness and standardness in the theory of $AF$-algebras and in the problem on invariant measures
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Ofer Zeitouni — Branching random walks and Gaussian fields
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This book brings a reader to the cutting edge of several important directions of the contemporary probability theory, which in many cases are strongly motivated by problems in statistical physics. The authors of these articles are leading experts in the field and the reader will get an exceptional panorama of the field from the point of view of scientists who played, and continue to play, a pivotal role in the development of the new methods and ideas, interlinking it with geometry, complex analysis, conformal field theory, etc., making modern probability one of the most vibrant areas in mathematics.
Graduate students and research mathematicians interested in recent developments in probability and statistical physics and random structures in mathematics.
-
Articles
-
Yuri Bakhtin — Ergodic theory of the Burgers equation
-
Vincent Beffara and Hugo Duminil-Copin — Critical point and duality in planar lattice models
-
Gérard Ben Arous and Alexander Fribergh — Biased random walks on random graphs
-
Alexei Borodin and Vadim Gorin — Lectures on integrable probability
-
Yinshan Chang and Yves Le Jan — Markov loops in discrete spaces
-
Alice Guionnet — Random matrices and the Potts model on random graphs
-
Júlia Komjáthy and Yuval Peres — Topics in Markov chains: Mixing and escape rate
-
Gregory F. Lawler — Random walk problems motivated by statistical physics
-
Grigori Olshanski — Markov dynamics on the dual object to the infinite-dimensional unitary group
-
Mikhail Sodin — Lectures on random nodal portraits
-
A. Vershik — Smoothness and standardness in the theory of $AF$-algebras and in the problem on invariant measures
-
Ofer Zeitouni — Branching random walks and Gaussian fields
