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Capacity of attractors

Published online by Cambridge University Press:  19 September 2008

Lai-Sang Young
Lai-Sang Young*
Affiliation:
Mathematics Institute, University of Warwick, England
*
Address for correspondence: Lai-Sang Young, Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA.
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Abstract

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Let f be a diffeomorphism of a manifold and Λ be an f-invariant set supporting an ergodic Borel probability measure μ with certain properties. A lower bound on the capacity of Λ is given in terms of the μ-Lyapunov exponents. This applies in particular to Axiom A attractors and their Bowen-Ruelle measure.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 3 , September 1981, pp. 381 - 388
Copyright
Copyright © Cambridge University Press 1981

References

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