The Hausdorff dimension estimation for an ergodic hyperbolic measure of 𝐶¹-diffeomorphism

Wang, Juan; Cao, Yongluo

doi:10.1090/proc/12696

The Hausdorff dimension estimation for an ergodic hyperbolic measure of $C^1$-diffeomorphism
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by Juan Wang and Yongluo Cao PDF

Proc. Amer. Math. Soc. 144 (2016), 119-128 Request permission

Abstract:

This paper provides the Hausdorff dimension estimation for an ergodic hyperbolic measure of $C^1$-diffeomorphism on an $m$-dimensional compact Riemannian manifold with the assumption that its Oseledet’s splitting is a dominated splitting.

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