Lecture Notes in Mathematics

Correlated Random Systems: Five Different Methods

CIRM Jean-MorletChair, Spring 2013

Editors: Gayrard, Véronique, Kistler, Nicola (Eds.)

  • 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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Buy this book

eBook 35,69 €
price for France (gross)
  • ISBN 978-3-319-17674-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 47,46 €
price for France (gross)
  • ISBN 978-3-319-17673-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (5 chapters)

  • Random Copolymers

    Bolthausen, Erwin

    Pages 1-43

    Preview Buy Chapter 29,94 €
  • Spontaneous Replica Symmetry Breaking and Interpolation Methods for Complex Statistical Mechanics Systems

    Guerra, Francesco

    Pages 45-70

    Preview Buy Chapter 29,94 €
  • Derrida’s Random Energy Models

    Kistler, Nicola

    Pages 71-120

    Preview Buy Chapter 29,94 €
  • Isomorphism Theorems: Markov Processes, Gaussian Processes and Beyond

    Rosen, Jay

    Pages 121-177

    Preview Buy Chapter 29,94 €
  • Spectral Properties of Wigner Matrices

    Schlein, Benjamin

    Pages 179-205

    Preview Buy Chapter 29,94 €

Buy this book

eBook 35,69 €
price for France (gross)
  • ISBN 978-3-319-17674-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 47,46 €
price for France (gross)
  • ISBN 978-3-319-17673-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
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 and Tables
1 b/w illustrations, 8 illustrations in colour
Topics