Limit theorems in the area of large deviations for some dependent random variables

DOI10.1214/aop/1176992162zbMath0637.60044OpenAlexW2005061420MaRDI QIDQ1098484

Narasinga Rao Chaganty, Jayaram Sethuraman

Publication date: 1987

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992162

zbMATH Keywords

local limit theoremsmoment generating functionsferromagnetic crystal

Mathematics Subject Classification ID

Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Limit theorems in probability theory (60F99)

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Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point ⋮ Large deviation local limit theorems for ratio statistics ⋮ Large deviations and the internal fluctuations of critical mean field systems ⋮ Critical fluctuations for quantum mean-field models ⋮ On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics

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