Rates of mixing for potentials of summable variation

DOI10.1090/S0002-9947-99-02382-XzbMath0986.37005OpenAlexW1555319984WikidataQ105584017 ScholiaQ105584017MaRDI QIDQ4699617

Mark Pollicott

Publication date: 17 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02382-x

zbMATH Keywords

subshifts of finite typedecay of correlationsequilibrium measuresrates of mixing

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25)

Related Items (12)

An invariance principle for maps with polynomial decay of correlations ⋮ Decay of correlations for invertible maps with non-Hölder observables ⋮ Mixing rates for potentials of non-summable variations ⋮ Square summability of variations and convergence of the transfer operator ⋮ Surface energy and boundary layers for a chain of atoms at low temperature ⋮ A general renormalization procedure on the one-dimensional lattice and decay of correlations ⋮ Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains ⋮ Convergence to equilibrium for intermittent symplectic maps ⋮ Statistical properties for nonhyperbolic maps with finite range structure ⋮ Phase transitions in one-dimensional translation invariant systems: a Ruelle operator approach ⋮ Gaussian concentration bound for potentials satisfying Walters condition with subexponential continuity rates ⋮ Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures

Cites Work

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• Markov approximations and decay of correlations for Anosov flows
• Convergence speed to equilibrium state for Markovian non-Hölderian dynamics
• Exact bounds for the polynomial decay of correlation, 1/fnoise and the CLT for the equilibrium state of a non-Hölder potential
• Ruelle's Operator Theorem and g-Measures
• Flows, random perturbations and rate of mixing
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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