Ergodic theory of Random Anosov systems mixing on fibers

2016/12/26 by Wen Huang, Huang, Wen, Zeng Lian +3
Mathematics · Physics and Astronomy · #37C40 #37D45 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Stochastic processes and statistical mechanics #math.DS #msc:37C40 #msc:37D45

paper · pdf · doi:10.48550/arxiv.1612.08394

66 pages

openalex publication_date 2016/12/26 · arxiv created 2019/12/08 · arxiv updated 2019/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Citations

• The cohomological equation for partially hyperbolic diffeomorphisms
• Random dynamical systems

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