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.
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.
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
Angelo Vulpiani
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