An optimal transportation approach to the decay of correlations for non-uniformly expanding maps

DOI10.1017/etds.2018.49zbMath1437.37027arXiv1711.08052OpenAlexW2964224015MaRDI QIDQ5214803

Benoît R. Kloeckner

Publication date: 5 February 2020

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08052

zbMATH Keywords

transfer operatorsRuelle-Perron-Frobenius theoremnonuniformly expanding mapsPomeau-Manneville maps

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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