Capacity of attractors

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)381-388
Number of pages8
JournalErgodic Theory and Dynamical Systems
Volume1
Issue number3
DOIs
StatePublished - 1981

Fingerprint

Axiom A
Borel Measure
Diffeomorphism
Invariant Set
Lyapunov Exponent
Probability Measure
Attractor
Lower bound

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Capacity of attractors. / Young, Lai Sang.

In: Ergodic Theory and Dynamical Systems, Vol. 1, No. 3, 1981, p. 381-388.

Research output: Contribution to journalArticle

@article{9cf1ff5bc070426dbef6c576122de7a7,
title = "Capacity of attractors",
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.",
author = "Young, {Lai Sang}",
year = "1981",
doi = "10.1017/S0143385700001309",
language = "English (US)",
volume = "1",
pages = "381--388",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
number = "3",

}

TY - JOUR

T1 - Capacity of attractors

AU - Young, Lai Sang

PY - 1981

Y1 - 1981

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=4544296367&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4544296367&partnerID=8YFLogxK

U2 - 10.1017/S0143385700001309

DO - 10.1017/S0143385700001309

M3 - Article

VL - 1

SP - 381

EP - 388

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

SN - 0143-3857

IS - 3

ER -