Markov processes, Bernoulli schemes, and Ising model

DOI10.1007/BF01646740zbMath0333.60099MaRDI QIDQ1228316

Lucio Russo, Francesco Di Liberto, Giovanni Gallavotti

Publication date: 1973

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Special processes (60K99) Markov processes (60J99)

Related Items (6)

Consistent estimation of joint distributions for sufficiently mixing random fields ⋮ Quite weak Bernoulli with exponential rate and percolation for random fields ⋮ Coupling surfaces and weak Bernoulli in one and higher dimensions ⋮ Lucio Russo: probability theory and current interests ⋮ Theory of dynamical systems and general transformation groups with invariant measure ⋮ Finitary coding of Markov random fields

Cites Work

• Unnamed Item
• Statistical mechanics of a one-dimensional lattice gas
• On isomorphism of weak Bernoulli transformations
• Factors of Bernoulli shifts are Bernoulli shifts
• On Ornstein's isomorphism theorem for Bernoulli shifts
• Commuting measure-preserving transformations
• Investigation of Gibbsian States for Three-Dimensional Lattice Systems
• Existence of a Phase Transition in Two-Dimensional and Three-Dimensional Ising Models
• Markov Random Fields and Gibbs Ensembles

This page was built for publication: Markov processes, Bernoulli schemes, and Ising model