Følner Independence and the amenable Ising model

DOI10.1017/S0143385700006994zbMath0787.58025OpenAlexW2049704838MaRDI QIDQ3141473

Scot Adams

Publication date: 16 May 1994

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006994

zbMATH Keywords

Ising modelBernoullifinitely determined

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Ergodic theory (37A99)

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The Ising model on diluted graphs and strong amenability ⋮ Finitary codings for the random-cluster model and other infinite-range monotone models ⋮ Finitary coding for the sub-critical Ising model with finite expected coding volume ⋮ Proper -colorings of are Bernoulli ⋮ Finitary codings for gradient models and a new graphical representation for the six‐vertex model ⋮ Uniform even subgraphs and graphical representations of Ising as factors of i.i.d. ⋮ Random interlacement is a factor of i.i.d. ⋮ Stationary determinantal processes: phase multiplicity, Bernoullicity, entropy, and domination ⋮ Very weak Bernoulli for amenable groups ⋮ On the existence and nonexistence of finitary codings for a class of random fields

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