Random invariant densities for Markov operator cocycles and random mean ergodic theorem

DOI10.1142/s0219493724500096MaRDI QIDQ6586423

Fumihiko Nakamura, Hisayoshi Toyokawa

Publication date: 13 August 2024

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

random dynamical systemsinvariant measuremean ergodic theoremMarkov operator cocycles

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) General theory of random and stochastic dynamical systems (37H05)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Non-Markovian invariant measures are hyperbolic
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• A spectral approach for quenched limit theorems for random expanding dynamical systems
• Exponential decay of correlations for random Lasota-Yorke maps
• \( \sigma \)-finite invariant densities for eventually conservative Markov operators
• Operator-theoretical treatment of Markoff's process and mean ergodic theorem.
• Mixing rates and limit theorems for random intermittent maps
• A semi-invertible operator Oseledets theorem
• A Vector-Valued Random Ergodic Theorem
• Weak Cauchy Sequences in L 1 (E)
• Markov measures for random dynamical systems
• Almost sure invariance principle for random piecewise expanding maps
• Weakly precompact subsets of L₁(μ,X)
• Quenched decay of correlations for slowly mixing systems
• Banach Limits
• On invariant measures for operators
• Mixing and observation for Markov operator cocycles*

This page was built for publication: Random invariant densities for Markov operator cocycles and random mean ergodic theorem

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6586423)