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  • © 2014

Large Deviations in Physics

The Legacy of the Law of Large Numbers

  • Gives a unifying view of large deviations
  • Presents modern aspects of equilibrium and non-equilibrium statistical physics, disordered and chaotic systems and turbulence
  • Covers both theory and applications
  • Discusses numerical aspects in detail
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (11 chapters)

  1. Front Matter

    Pages i-xiv
  2. From the Law of Large Numbers to Large Deviation Theory in Statistical Physics: An Introduction

    • Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Davide Vergni, Angelo Vulpiani
    Pages 1-27
  3. Ergodicity: How Can It Be Broken?

    • Giancarlo Benettin, Roberto Livi, Giorgio Parisi
    Pages 29-70
  4. Large Deviations in Disordered Spin Systems

    • Andrea Crisanti, Luca Leuzzi
    Pages 135-160
  5. Large Deviations in Monte Carlo Methods

    • Andrea Pelissetto, Federico Ricci-Tersenghi
    Pages 161-191
  6. Large Deviations Techniques for Long-Range Interactions

    • Aurelio Patelli, Stefano Ruffo
    Pages 193-220
  7. Large Deviations of Brownian Motors

    • Alessandro Sarracino, Dario Villamaina
    Pages 221-241
  8. Anomalous Diffusion: Deterministic and Stochastic Perspectives

    • Roberto Artuso, Raffaella Burioni
    Pages 263-293
  9. Large Deviations in Turbulence

    • 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.

Editors and Affiliations

  • Dipartimento di Fisica, Università di Roma Sapienza, Roma, Italy

    Angelo Vulpiani

  • Istituto Sistemi Complessi, Consiglio Nazionale delle Ricerche, Roma, Italy

    Fabio Cecconi, Massimo Cencini, Andrea Puglisi

  • Istituto per le Applicazioni del Calcolo, Consiglio Nazionale delle Ricerche, Roma, Italy

    Davide Vergni

Bibliographic Information

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 89.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access