Quite weak Bernoulli with exponential rate and percolation for random fields
From MaRDI portal
Publication:1899254
DOI10.1016/0304-4149(94)00015-LzbMath0835.60088OpenAlexW2055865921MaRDI QIDQ1899254
Jeffrey E. Steif, Robert M. jun. Burton
Publication date: 26 March 1996
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(94)00015-l
Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items
Consistent estimation of joint distributions for sufficiently mixing random fields ⋮ Decay of correlations in finite abelian lattice gauge theories ⋮ On phase transitions for subshifts of finite type ⋮ Almost Gibbsianness and parsimonious description of the decimated 2d-Ising model ⋮ Coupling surfaces and weak Bernoulli in one and higher dimensions ⋮ Rigidity of proper colorings of \(\mathbb{Z}^d \) ⋮ Occurrence, repetition and matching of patterns in the low-temperature Ising model ⋮ The \(T,T^{-1}\)-process, finitary codings and weak Bernoulli ⋮ Weakly Gibbsian measures for lattice spin systems
Cites Work
- A caution on mixing conditions for random fields
- A complete classification of the two-point extensions of a multidimensional Bernoulli shift
- On the central limit theorem for stationary mixing random fields
- Gibbs measures and phase transitions
- Markov processes, Bernoulli schemes, and Ising model
- For 2-D lattice spin systems weak mixing implies strong mixing
- A uniqueness condition for Gibbs measures, with application to the 2- dimensional Ising antiferromagnet
- New results on measures of maximal entropy
- On isomorphism of weak Bernoulli transformations
- Some Limit Theorems for Random Functions. I
- Non-uniqueness of measures of maximal entropy for subshifts of finite type
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
