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Hausdorff dimension for horseshoes

Ergodic Theory and Dynamical Systems (1983) 3(2) 251-260
DOI: 10.1017/S0143385700001966
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Abstract

We shall measure how thick a basic set of a C1axiom Adiffeomorphism of a surface is by the Hausdorff dimension of its intersection with an unstable manifold. This depends continuously on the diffeomorphism. Generically a C2diffeomorphism has attractors whose Hausdorff dimension is not approximated by the dimension of its ergodic measures. © 1983, Cambridge University Press. All rights reserved.

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APA

Mccluskey, H., & Manning, A. (1983). Hausdorff dimension for horseshoes. Ergodic Theory and Dynamical Systems, 3(2), 251–260. https://doi.org/10.1017/S0143385700001966

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