Partial hyperbolicity and specification

Sumi, Naoya; Varandas, Paulo; Yamamoto, Kenichiro

doi:10.1090/proc/12830

Partial hyperbolicity and specification
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by Naoya Sumi, Paulo Varandas and Kenichiro Yamamoto PDF

Proc. Amer. Math. Soc. 144 (2016), 1161-1170 Request permission

Abstract:

We study the specification property for partially hyperbolic dynamical systems. In particular, we show that if a partially hyperbolic diffeomorphism has two saddles with different indices, and the stable manifold of one of these saddles coincides with the strongly stable leaf, then it does not satisfy the specification property.

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