\( \sigma \)-finite invariant densities for eventually conservative Markov operators

DOI10.3934/dcds.2020144zbMath1434.37003OpenAlexW3010514142MaRDI QIDQ2306862

Hisayoshi Toyokawa

Publication date: 26 March 2020

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

Full work available at URL: https://doi.org/10.3934/dcds.2020144

zbMATH Keywords

Markov operatorsPerron-Frobenius operators\(\sigma\)-finite invariant measuresconstrictive operatorsJacobs-Deleeuw-Glicksberg splittingweakly almost periodic operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part ⋮ Asymptotic (statistical) periodicity in two-dimensional maps

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