Markov approximations of Gibbs measures for long-range interactions on 1D lattices

DOI10.1088/1742-5468/2013/08/P08012zbMath1456.82153arXiv1306.6104MaRDI QIDQ3301668

R. Salgado-García, Cesar Maldonado

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6104

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Convergence of probability measures (60B10)

Related Items (1)

Projective distance and \(g\)-measures

Cites Work

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• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Gibbsian random fields for lattice systems with pairwise interactions.
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• Statistical mechanics of a one-dimensional lattice gas
• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
• Some systems with unique equilibrium states
• Ruelle's Operator Theorem and g-Measures
• Uniqueness ing-measures
• Finite type approximations of Gibbs measures on sofic subshifts
• Introduction to Dynamical Systems
• On the preservation of Gibbsianness under symbol amalgamation
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Observables at infinity and states with short range correlations in statistical mechanics

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