Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers
نویسندگان
چکیده
منابع مشابه
Gibbs-markov Structures and Limit Laws for Partially Hyperbolic Attractors with Mostly Expanding Central Direction
— We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as TKM = E cu⊕Es, for which the centre-unstable direction E expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs-Markov structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need to achiev...
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— We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as TKM = Ecu⊕Es, for which the centre-unstable direction E expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs-Markov hyperbolic structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2021
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-021-02766-y