Gibbs states and Gibbsian specifications on the space ℝℕ

DOI10.1080/14689367.2019.1663789zbMath1447.37046arXiv1904.03526OpenAlexW2926927065MaRDI QIDQ3298333

Victor Vargas, Artur Oscar Lopes

Publication date: 14 July 2020

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

Full work available at URL: https://arxiv.org/abs/1904.03526

zbMATH Keywords

thermodynamic formalismequilibrium statesRuelle-Perron-Frobenius theoremGibbs statesXY-modelGibbsian specifications

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

On involution kernels and large deviations principles on \(\beta\)-shifts ⋮ Entropy, pressure, ground states and calibrated sub-actions for linear dynamics ⋮ Existence of Gibbs states and maximizing measures on a general one-dimensional lattice system with Markovian structure ⋮ Invariant probabilities for discrete time linear dynamics via thermodynamic formalism ^* ⋮ The involution kernel and the dual potential for functions in the Walters' family

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