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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 thhieroglyphic 发表于 2025-3-22 03:28:13
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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 micAnterior 发表于 2025-3-22 16:11:23
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https://doi.org/10.1007/1-84628-129-6large deviation theorem for random vectors which generalized the level-1 property. In this chapter, Theorem 11.6.1 will be proved and the level-1 large deviation property will be derived as a corollary . The results on exponential convergence ofRetrieval 发表于 2025-3-23 03:49:50
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