Local limit theorems for sums of finite range potentials of a Gibbsian random field

DOI10.1214/aop/1176990859zbMath0704.60019OpenAlexW1967801088MaRDI QIDQ917146

Christian Hipp, Friedrich Götze

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1214/aop/1176990859

zbMATH Keywords

local limit theoremm-dependenceGibbsian random field

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05)

Related Items (2)

Asymptotic expansions for potential functions of I.I.D. random fields ⋮ Local central limit theorem for long-range two-body potentials at sufficiently high temperatures

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