Asymptotic behaviors of dynamical systems with random parameters

DOI10.2977/prims/1195182976zbMath0528.58025OpenAlexW2033870599MaRDI QIDQ786431

Taijiro Ohno

Publication date: 1983

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195182976

zbMATH Keywords

ergodicityrandom perturbationabsolutely continuous invariant measuresskew productsrandom orbits of dynamical systems

Mathematics Subject Classification ID

Stochastic processes (60G99) Probabilistic measure theory (60A10) Ergodic theory (37A99)

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Necessary and sufficient conditions for stable synchronization in random dynamical systems ⋮ A spectral approach for quenched limit theorems for random expanding dynamical systems ⋮ A coupling approach to random circle maps expanding on the average ⋮ Random iterations of rational functions ⋮ Markovian random iterations of homeomorphisms of the circle ⋮ A COMPUTATIONAL ERGODIC THEOREM FOR INFINITE ITERATED FUNCTION SYSTEMS ⋮ Distortion inequality for a Markov operator generated by a randomly perturbed family of Markov maps in \(\mathbb{R}^d\) ⋮ Flows of stochastic dynamical systems: ergodic theory ⋮ On ergodicity of general Markov chains ⋮ Strong stochastic stability for non-uniformly expanding maps ⋮ RUELLE'S INEQUALITY FOR ISOTROPIC ORNSTEIN–UHLENBECK FLOWS ⋮ On the liftability of expanding stationary measures ⋮ Quenched stochastic stability for eventually expanding-on-average random interval map cocycles

Cites Work

• Unnamed Item
• Invariant measures for Markov maps of the interval
• Ergodic theory of differentiable dynamical systems
• Sensitive dependence to initial conditions for one dimensional maps
• On the abundance of aperiodic behaviour for maps on the interval
• On unimodal linear transformations and chaos. I
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• The ergodic theory of axiom A flows
• Bernoulli maps of the interval
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Simple mathematical models with very complicated dynamics
• GIBBS MEASURES IN ERGODIC THEORY

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