About Phase Transition and Zero Temperature

DOI10.1007/978-3-0348-0859-0_7zbMath1334.82032OpenAlexW2760823662MaRDI QIDQ3462323

Renaud Leplaideur

Publication date: 5 January 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0859-0_7

zbMATH Keywords

phase transitionergodic theory

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Dynamical aspects of statistical mechanics (37A60)

Related Items (1)

A general renormalization procedure on the one-dimensional lattice and decay of correlations

Cites Work

• Renormalization, thermodynamic formalism and quasi-crystals in subshifts
• Flatness is a criterion for selection of maximizing measures
• Gibbs measures and phase transitions.
• On the zero-temperature limit of Gibbs states
• La condition de Walters
• Lyapunov minimizing measures for expanding maps of the circle
• Transience in dynamical systems
• Zero-temperature limit of one-dimensional Gibbs states via renormalization: the case of locally constant potentials
• THE POTENTIAL POINT OF VIEW FOR RENORMALIZATION
• Probability on Graphs
• Examples for the Nonuniqueness of the Equilibrium State
• Gibbs measures at temperature zero
• Thermodynamic Formalism
• Selection of Ground States in the Zero Temperature Limit for a One-Parameter Family of Potentials
• A dynamical proof for the convergence of Gibbs measures at temperature zero
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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