کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4665404 | 1633809 | 2015 | 33 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Gibbs–Markov–Young structures with (stretched) exponential tail for partially hyperbolic attractors Gibbs–Markov–Young structures with (stretched) exponential tail for partially hyperbolic attractors](/preview/png/4665404.png)
In this work we extend the results obtained by Gouëzel in [12] to partially hyperbolic attractors. We study a forward invariant set K on a Riemannian manifold M whose tangent space splits as dominated decomposition TKM=Ecu⊕EsTKM=Ecu⊕Es, for which the center-unstable direction EcuEcu is non-uniformly expanding on some local unstable disk. We prove that the (stretched) exponential decay of recurrence times for an induced scheme can be deduced under the assumption of (stretched) exponential decay of the time that typical points need to achieve some uniform expanding in the center-unstable direction. As an application of our results we obtain exponential decay of correlations and exponential large deviations for a class of partially hyperbolic diffeomorphisms considered in [1].
Journal: Advances in Mathematics - Volume 279, 16 July 2015, Pages 405–437