A central limit theorem for lattice gauge Gibbs random fields

DOI10.1007/BF02006122zbMath0802.60093MaRDI QIDQ1335398

Dongqing Chen

Publication date: 15 December 1994

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

lattice gauge theoriescentral limit theorem for energy variableslattice Gibbs random fields model

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• Normal convergence by higher semi-invariants with applications to sums of dependent random variables and random graphs
• The central limit theorem and the problem of equivalence of ensembles

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