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Note publique d'information : 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