Invariant measures for position dependent random maps with continuous random parameters

DOI10.4064/SM208-1-2zbMath1267.37054OpenAlexW1979612108MaRDI QIDQ3115406

Tomoki Inoue

Publication date: 20 February 2012

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm208-1-2

zbMATH Keywords

absolutely continuous invariant measurePerron-Frobenius operatorrandom map

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) General theory of random and stochastic dynamical systems (37H05)

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Invariant densities for random continued fractions ⋮ Random Lochs’ Theorem ⋮ Asymptotic behavior of non-expanding piecewise linear maps in the presence of random noise ⋮ The random continued fraction transformation ⋮ Random \(N\)-continued fraction expansions ⋮ On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part ⋮ Invariant densities for random systems of the interval ⋮ First return maps of random maps and invariant measures ⋮ \( \sigma \)-finite invariant densities for eventually conservative Markov operators ⋮ Matching for random systems with an application to minimal weight expansions ⋮ On approximation by random Lüroth expansions

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