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.

Large Deviations in Physics: The Legacy of the Law of Large Numbers

Fabio Cecconi;Massimo Cencini;Andrea Puglisi;Davide Vergni
2014

Abstract

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.
2014
Istituto Applicazioni del Calcolo ''Mauro Picone''
Istituto dei Sistemi Complessi - ISC
978-3-642-54251-0
disordered and chaotic system
equilibrium and non-equilibrium statistical physics
ergodicity breaking
fluctuation relations
large deviations
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Descrizione: Large Deviations in Physics: The Legacy of the Law of Large Numbers
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/222254
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