Weak Gibbs measures and large deviations

DOI10.1088/1361-6544/aa99a3zbMath1381.37012arXiv1705.06939OpenAlexW2964021789MaRDI QIDQ4600984

Wayne G. Sullivan, Charles-Edouard Pfister

Publication date: 18 January 2018

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06939

zbMATH Keywords

large deviationsGibbs measure

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Large deviations (60F10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Orbit growth in dynamical systems (37C35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

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On -approachability, entropy density and -free shifts ⋮ On entropy production of repeated quantum measurements. II: Examples ⋮ Equilibrium measures of the natural extension of -shifts ⋮ Asymptotic decoupling and weak Gibbs measures for finite alphabet shift spaces ⋮ Large deviations and fluctuation theorem for selectively decoupled measures on shift spaces ⋮ Weak Gibbs measures and equilibrium states ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent

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