Dimension product structure of hyperbolic sets-Reference-Cited by-同舟云学术

Dimension product structure of hyperbolic sets

Published:2004-08-26 Issue:10 Volume:10 Page:88-96
ISSN:1079-6762
Container-title:Electronic Research Announcements of the American Mathematical Society
language:en
Short-container-title:Electron. Res. Announc. Amer. Math. Soc.

Author:

Hasselblatt Boris,Schmeling Jörg

Abstract

We conjecture that the fractal dimension of hyperbolic sets can be computed by adding those of their stable and unstable slices. This would facilitate substantial progress in the calculation or estimation of these dimensions, which are related in deep ways to dynamical properties. We prove the conjecture in a model case of Smale solenoids.

Publisher

American Mathematical Society (AMS)

Subject

General Mathematics

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