Progress in Probability

Spin Glasses: Statics and Dynamics

Summer School, Paris 2007

Editors: Boutet de Monvel, Anne, Bovier, Anton (Eds.)

  • Combination of introductory and advanced matter
  • Up-to-date presentation of various angles of the problem, by leading researchers in the field
see more benefits

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-7643-9891-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7643-8999-4
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
About this book

Over the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.

Table of contents (12 chapters)

  • A Short Course on Mean Field Spin Glasses

    Bovier, Anton (et al.)

    Pages 3-44

  • REM Universality for Random Hamiltonians

    Arous, Gérard Ben (et al.)

    Pages 45-84

  • Another View on Aging in the REM

    Černý, Jiří

    Pages 85-101

  • Spin Glass Identities and the Nishimori Line

    Contucci, Pierluigi (et al.)

    Pages 103-121

  • Self-averaging Identities for Random Spin Systems

    Sanctis, Luca (et al.)

    Pages 123-142

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-7643-9891-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-7643-8999-4
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Spin Glasses: Statics and Dynamics
Book Subtitle
Summer School, Paris 2007
Editors
  • Anne Boutet de Monvel
  • Anton Bovier
Series Title
Progress in Probability
Series Volume
62
Copyright
2009
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-9891-0
DOI
10.1007/978-3-7643-9891-0
Hardcover ISBN
978-3-7643-8999-4
Series ISSN
1050-6977
Edition Number
1
Number of Pages
XII, 278
Topics