The one-site distributions of Gibbs states on Bethe lattice are probability vectors of period \(\leq 2\) for a nonlinear transformation.

DOI10.1007/BF01016414zbMath1082.82506OpenAlexW1980610402MaRDI QIDQ1963460

Servet Martínez, Eric Goles Chacc

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01016414

zbMATH Keywords

dynamical systemsconvex functionsubdifferentialBethe latticeGibbs statesLiapunov functionalautomata networksspin vectorcyclically monotone function

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in optimization and economics (37N40)

Related Items (2)

GIBBS MEASURES ON CAYLEY TREES: RESULTS AND OPEN PROBLEMS ⋮ Unnamed Item

Cites Work

• Unnamed Item
• On solvable models in classical lattice systems
• Properties of positive functions and the dynamics of associated automata networks
• Markov random fields on an infinite tree

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