Pomeau-Manneville maps are global-local mixing

DOI10.3934/dcds.2020309zbMath1464.37045arXiv1911.02913OpenAlexW2984314707MaRDI QIDQ1995530

Claudio Bonanno, Marco Lenci

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.02913

zbMATH Keywords

infinite-volume mixingindifferent fixed pointglobal/local mixinginfinite-measure-preserving mapsPomeau-Manneville maps

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (2)

Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems ⋮ Global observables for RW: law of large numbers

Cites Work

• Uniformly expanding Markov maps of the real line: exactness and infinite mixing
• Global-local mixing for the Boole map
• Transformations on [0,1 with infinite invariant measures]
• Estimates of the invariant densities of endomorphisms with indifferent fixed points
• On infinite-volume mixing
• Exactness, K-property and infinite mixing
• A probabilistic approach to intermittency
• Infinite measure renewal theorem and related results
• Infinite mixing for one-dimensional maps with an indifferent fixed point
• Mixing for Markov operators

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