Weak Gibbs measures for intermittent systems and weakly Gibbsian states in statistical mechanics

DOI10.1007/s00220-003-0931-4zbMath1098.37030OpenAlexW2052676470MaRDI QIDQ1411067

Michiko Yuri

Publication date: 15 October 2003

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-003-0931-4

zbMATH Keywords

conditional-probability discontinuitieshigher dimensional intermittent mapSinai-Bowen-Ruelle measure

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Dynamical aspects of statistical mechanics (37A60)

Related Items (8)

Weak Gibbs measures as Gibbs measures for asymptotically additive sequences ⋮ Level-2 large deviation principle for countable Markov shifts without Gibbs states ⋮ Targets, local weak $\sigma$ -Gibbs measures and a generalized Bowen dimension formula ⋮ Equilibriums of some non-Hölder potentials ⋮ Sequential Gibbs measures and factor maps ⋮ Entropy production at weak Gibbs measures and a generalized variational principle ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent ⋮ Large deviations for countable to one Markov systems

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