Capacity of attractors

Lai Sang Young

doi:10.1017/S0143385700001309

Capacity of attractors

Lai Sang Young

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	381-388
Number of pages	8
Journal	Ergodic Theory and Dynamical Systems
Volume	1
Issue number	3
DOIs	https://doi.org/10.1017/S0143385700001309
State	Published - Sep 1981

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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abstract = "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.",

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Capacity of attractors

Abstract

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