A limit theorem for one-dimensional Gibbs measures under conditions on the empirical field

DOI10.1016/0304-4149(93)90031-XzbMath0766.60031MaRDI QIDQ1208951

Peter Menzel

Publication date: 16 May 1993

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

large deviationsstationary Gibbs measureentropy minimizingstrong decay of the interaction potential

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10)

Related Items

Maximum entropy principles for disordered spins

Cites Work

• Unnamed Item
• On the maximum entropy principle for uniformly ergodic Markov chains
• Sanov property, generalized I-projection and a conditional limit theorem
• Large deviations for the empirical field of a Gibbs measure
• Gibbs measures and phase transitions
• Conditional limit theorems under Markov conditioning
• On entropy and information gain in random fields
• Large deviations for Gibbs random fields