Selection of measure and a large deviation principle for the general one-dimensionalXYmodel

DOI10.1080/14689367.2013.835792zbMath1308.37001OpenAlexW2328048046MaRDI QIDQ5406322

Jairo K. Mengue, Artur Oscar Lopes

Publication date: 1 April 2014

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2013.835792

zbMATH Keywords

large deviationRuelle operatorBernoulli shiftmaximizing measure\(XY\) modelone-sided shiftHölder continuous potentialeigen-measure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Related Items

On involution kernels and large deviations principles on \(\beta\)-shifts ⋮ Entropy, pressure, ground states and calibrated sub-actions for linear dynamics ⋮ Entropy and variational principle for one-dimensional lattice systems with a generala prioriprobability: positive and zero temperature ⋮ Explicit examples in ergodic optimization ⋮ Large deviations for equilibrium measures and selection of subaction ⋮ The analyticity of a generalized Ruelle's operator ⋮ Sensitive dependence of Gibbs measures at low temperatures ⋮ Ergodic optimization in dynamical systems

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