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- W2900635842 abstract "In this paper, we provide a technique result on the existence of Gibbs cu-states for diffeomorphisms with dominated splittings. More precisely, for given $C^2$ diffeomorphim $f$ with dominated splitting $T_{Lambda}M = Eoplus F$ on an attractor $Lambda$, by considering some suitable random perturbation of $f$, we show that for any zero noise limit of ergodic stationary measures, if it has positive integrable Lyapunov exponents along invariant sub-bundle $E$, then its ergodic components contain Gibbs cu-states associated to $E$. With this technique, we show the existence of SRB measures and physical measures for some systems exhibitting dominated splittings and weak hyperbolicity." @default.
- W2900635842 created "2018-11-29" @default.
- W2900635842 creator A5091333801 @default.
- W2900635842 date "2018-11-24" @default.
- W2900635842 modified "2023-09-23" @default.
- W2900635842 title "SRB measures for some diffeomorphisms with dominated splittings as zero noise limits" @default.
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- W2900635842 doi "https://doi.org/10.48550/arxiv.1811.09936" @default.
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