Ergodic theory of Random Anosov systems mixing on fibers

Kening Lu; Wen Huang; Zeng Lian

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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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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