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Correlated Random Systems: Five Different Methods

CIRM Jean-Morlet Chair, Spring 2013

  • Véronique Gayrard
  • Nicola Kistler
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2143)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Erwin Bolthausen
    Pages 1-43
  3. Nicola Kistler
    Pages 71-120
  4. Benjamin Schlein
    Pages 179-205
  5. Back Matter
    Pages 207-208

About this book

Introduction

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.

Keywords

60B20,60F10,60G15,60G70,60J25,60J85,60K37,82B41,82C44 Extremes of large combinatorial structures Local times Random matrices Random polymers Spin glasses

Editors and affiliations

  • Véronique Gayrard
    • 1
  • Nicola Kistler
    • 2
  1. 1.Institut de Mathématiques de MarseilleAix-Marseille Université CNRSMarseille Cedex 13France
  2. 2.Institut für MathematikGoethe-Universität FrankfurtFrankfurt am MainGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-17674-1
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-17673-4
  • Online ISBN 978-3-319-17674-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site