Entropy for zero-temperature limits of Gibbs-equilibrium states for countable-alphabet subshifts of finite type

DOI10.1007/s10955-006-9215-7zbMath1110.82012OpenAlexW2000884290MaRDI QIDQ878356

Ian D. Morris

Publication date: 26 April 2007

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

Full work available at URL: https://doi.org/10.1007/s10955-006-9215-7

zbMATH Keywords

entropyground stateGibbs stateequilibrium statemaximizing measurecountable alphabet subshift of finite type

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
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• Ergodic optimization
• Zero temperature limits of Gibbs-equilibrium states for countable alphabet subshifts of finite type
• Geometric barycentres of invariant measures for circle maps
• Lyapunov minimizing measures for expanding maps of the circle
• Existence of Gibbs measures for countable Markov shifts
• Thermodynamic Formalism
• Thermodynamic formalism for countable Markov shifts
• Gibbs states on the symbolic space over an infinite alphabet