Correlated Random Systems: Five Different Methods
CIRM Jean-MorletChair, Spring 2013
Editors: Gayrard, Véronique, Kistler, Nicola (Eds.)
Free Preview- First book in the CIRM Jean-Morlet Chair subseries
- Touches upon a huge number of hot topics in probability
- The methods presented have become indispensable working tools for researchers in probability theory and mathematical physics
- The lectures are written in an informal style, focusing on the essentials rather than technicalities
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- About this book
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This volume presents five different methods recently developed to tackle the large scale behavior of highly correlated random systems, such as spin glasses, random polymers, local times and loop soups and random matrices. These methods, presented in a series of lectures delivered within the Jean-Morlet initiative (Spring 2013), play a fundamental role in the current development of probability theory and statistical mechanics. The lectures were: Random Polymers by E. Bolthausen, Spontaneous Replica Symmetry Breaking and Interpolation Methods by F. Guerra, Derrida's Random Energy Models by N. Kistler, Isomorphism Theorems by J. Rosen and Spectral Properties of Wigner Matrices by B. Schlein.
This book is the first in a co-edition between the Jean-Morlet Chair at CIRM and the Springer Lecture Notes in Mathematics which aims to collect together courses and lectures on cutting-edge subjects given during the term of the Jean-Morlet Chair, as well as new material produced in its wake. It is targeted at researchers, in particular PhD students and postdocs, working in probability theory and statistical physics.
- Table of contents (5 chapters)
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Random Copolymers
Pages 1-43
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Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems
Pages 45-70
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Derrida’s Random Energy Models
Pages 71-120
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Isomorphism Theorems: Markov Processes, Gaussian Processes and Beyond
Pages 121-177
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Spectral Properties of Wigner Matrices
Pages 179-205
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Table of contents (5 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Correlated Random Systems: Five Different Methods
- Book Subtitle
- CIRM Jean-MorletChair, Spring 2013
- Editors
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- Véronique Gayrard
- Nicola Kistler
- Series Title
- Lecture Notes in Mathematics
- Series Volume
- 2143
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-17674-1
- DOI
- 10.1007/978-3-319-17674-1
- Softcover ISBN
- 978-3-319-17673-4
- Series ISSN
- 0075-8434
- Edition Number
- 1
- Number of Pages
- VII, 208
- Number of Illustrations
- 1 b/w illustrations, 8 illustrations in colour
- Topics
