On the local central limit theorem for interacting spin systems

DOI10.1007/S00023-024-01433-2MaRDI QIDQ6634772

Benedetto Scoppola, Aldo Procacci

Publication date: 8 November 2024

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Limit theorems in probability theory (60Fxx) Special processes (60Kxx)

Cites Work

• A general central limit theorem for FKG systems
• On the convergence of cluster expansions for polymer gases
• The local central limit theorem for a Gibbs random field
• Decay of correlations under Dobrushin's uniqueness condition and its applications
• The central limit theorem and the problem of equivalence of ensembles
• A remark on high temperature polymer expansion for lattice systems with infinite range pair interactions
• Local central limit theorem for long-range two-body potentials at sufficiently high temperatures
• Convergence of Mayer and Virial expansions and the Penrose tree-graph identity
• Cluster expansion for abstract polymer models. New bounds from an old approach
• On decay of correlations for unbounded spin systems with arbitrary boundary conditions

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