Editors:
- 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
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2143)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
Editors and Affiliations
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Institut de Mathématiques de Marseille, Aix-Marseille Université CNRS, Marseille Cedex 13, France
Véronique Gayrard
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Institut für Mathematik, Goethe-Universität Frankfurt, Frankfurt am Main, Germany
Nicola Kistler
Bibliographic Information
Book Title: Correlated Random Systems: Five Different Methods
Book Subtitle: CIRM Jean-MorletChair, Spring 2013
Editors: Véronique Gayrard, Nicola Kistler
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-319-17674-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Softcover ISBN: 978-3-319-17673-4Published: 25 June 2015
eBook ISBN: 978-3-319-17674-1Published: 09 June 2015
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 208
Number of Illustrations: 1 b/w illustrations, 8 illustrations in colour
Topics: Probability Theory and Stochastic Processes, Mathematical Methods in Physics, Complex Systems, Statistical Physics and Dynamical Systems