Limit Theorems and Some Applications in Statistical Physics
Broschiertes Buch

Limit Theorems and Some Applications in Statistical Physics

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1. Preliminary Probabilistic Results.- 1.1 Convergence of Probability Measures.- 1.2 Central Limit Theorem for Sums of Random Vectors.- 1.3 Invariance Principle.- 1.4 Stationary Random Processes and Fields on the Lattice.- 1.5 Slowly Varying Functions.- 1.6 Some Probabilistic Inequalities.- 1.7 Uniformly Integrable Sequences.- 2. Weak Dependence Conditions for Random Processes and Fields.- 2.1 Measures of Dependence.- 2.2 Weak Dependence Conditions for Random Processes. Classical Examples.- 2.3 Davydov's Examples.- 2.4 Herrndorf's Examples.- 2.5 Gaussian Random Sequences.- 2.6 Weak Dependence ...