Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-26T01:10:37.928Z Has data issue: false hasContentIssue false

Dynamical upper bounds for Hausdorff dimension ofinvariant sets

Published online by Cambridge University Press:  01 June 1997

YINGJIE ZHANG
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA (e-mail: [email protected])

Abstract

We study the Hausdorff dimension of invariant sets for expanding maps and that of hyperbolic sets on unstable manifolds. Upper bounds for the Hausdorff dimension are given in terms of topological pressure, or topological entropy and Lyapunov exponents.

Type
Research Article
Copyright
1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)