Titlebook: Entropy, Large Deviations, and Statistical Mechanics; Richard S. Ellis Book 1985 Springer-Verlag New York Inc. 1985 Large.Maxwell-Boltzman

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https://doi.org/10.1007/978-3-540-31041-9 theory, which include laws of large numbers and central limit theorems, summarize the behavior of a stochastic system in terms of a few parameters (e.g., mean and variance). In statistical mechanics, one derives macroscopic properties of a substance from a probability distribution that describes th

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Das wechselhafte Leben der Sterne of a liquid-gas phase transition. The liquid and the gas are said to be two phases of the same substance. One of the most interesting problems in equilibrium statistical mechanics is to explain phase transitions in terms of the probability distributions on configuration space which describe the mic

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https://doi.org/10.1007/1-84628-129-6large deviation theorem for random vectors [Theorem 11.6.1] which generalized the level-1 property. In this chapter, Theorem 11.6.1 will be proved [Sections VII.2–VII.4] and the level-1 large deviation property will be derived as a corollary [Section VII.5]. The results on exponential convergence of

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