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Ergodic theory of Random Anosov systems mixing on fibers

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arxiv 1612.08394 v2 pith:XOI34LQU submitted 2016-12-26 math.DS

Wen Huang , Zeng Lian , Kening Lu This is my paper · ORCID
classification math.DS
keywords randomtheoryanosovergodicperiodicsystemsabundancecomplicated
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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).

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non uniform expansion and additive noise imply random horseshoe

    math.DS 2025-01 reject novelty 7.0 of 10

    Non-uniformly expanding maps with additive noise and a fully-positive-Lyapunov stationary measure are asserted to have dense random horseshoes, a random version of Smale's horseshoe.

  2. Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations

    math.PR 2019-08 conditional novelty 7.0 of 10

    Under a dissipativity condition, a stochastic differential equation with quasi-periodic coefficients has a unique random quasi-periodic path, a unique quasi-periodic measure, and a unique ergodic invariant measure on ...

  3. Thermodynamic formalism for hyperbolic random dynamical systems

    math.DS 2026-07 accept novelty 6.5 of 10

    Unique P-relative equilibrium states exist for uniformly Hölder potentials on random Anosov systems with one-dimensional stable leaves and fibrewise mixing, and they enjoy quenched exponential decay of correlations.

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