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A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS

World scientific series on nonlinear science, series APublished 1 September 1995
David Ruelle
Citations400

Abstract

The future orbits of a diffeomorphism near an Axiom-A attrac- tor are investigated. It is found that their asymptotic behavior is in general described by a fixed probability measure yt carried by the attractor. The measure It has an exponential cluster property, and satisfies a variational principle.

Keywords

MathematicsEconomics, Econometrics and FinancePhysics and Astronomy