Ergodic theory of Random Anosov systems mixing on fibers

Abstract

In this paper, we study the complicated dynamics of Anosov systems driven by an external force in the context of geometric theory (an abundance of random periodic points and random horseshoes) and smooth ergodic theory (random periodic measures and random Liv\v sic Theorem).

arXiv comment66 pages

References in corpus (2)

• Random Periodic Solutions of Random Dynamical Systems
• The cohomological equation for partially hyperbolic diffeomorphisms

Cited by in corpus (4)

• Random Periodic Processes, Periodic Measures and Ergodicity
• Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations
• Ergodic Numerical Approximation to Periodic Measures of Stochastic Differential Equations
• Exponential decay of random correlations for random Anosov systems mixing on fibers