© 2014

Large Deviations in Physics

The Legacy of the Law of Large Numbers

  • Angelo Vulpiani
  • Fabio Cecconi
  • Massimo Cencini
  • Andrea Puglisi
  • Davide Vergni

Part of the Lecture Notes in Physics book series (LNP, volume 885)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Davide Vergni, Angelo Vulpiani
    Pages 1-27
  3. Giancarlo Benettin, Roberto Livi, Giorgio Parisi
    Pages 29-70
  4. Andrea Crisanti, Luca Leuzzi
    Pages 135-160
  5. Andrea Pelissetto, Federico Ricci-Tersenghi
    Pages 161-191
  6. Aurelio Patelli, Stefano Ruffo
    Pages 193-220
  7. Alessandro Sarracino, Dario Villamaina
    Pages 221-241
  8. Roberto Artuso, Raffaella Burioni
    Pages 263-293
  9. Guido Boffetta, Andrea Mazzino
    Pages 295-310
  10. Back Matter
    Pages 311-314

About this book


This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.


disordered and chaotic system equilibrium and non-equilibrium statistical physics ergodicity breaking fluctuation relations large deviations law of large numbers non-equilibrium statstical physics stochastic fluctuations turbulence

Editors and affiliations

  • Angelo Vulpiani
    • 1
  • Fabio Cecconi
    • 2
  • Massimo Cencini
    • 3
  • Andrea Puglisi
    • 4
  • Davide Vergni
    • 5
  1. 1.Dipartimento di FisicaUniversità di Roma SapienzaRomaItaly
  2. 2.Istituto Sistemi ComplessiConsiglio Nazionale delle RicercheRomaItaly
  3. 3.Istituto Sistemi ComplessiConsiglio Nazionale delle RicercheRomaItaly
  4. 4.Istituto Sistemi ComplessiConsiglio Nazionale delle RicercheRomaItaly
  5. 5.Istituto per le Applicazioni del CalcoloConsiglio Nazionale delle RicercheRomaItaly

Bibliographic information