© 2015

Correlated Random Systems: Five Different Methods

CIRM Jean-Morlet Chair, Spring 2013

  • Véronique Gayrard
  • Nicola Kistler


  • 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 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


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.


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

Industry Sectors
IT & Software
Finance, Business & Banking
Energy, Utilities & Environment
Oil, Gas & Geosciences