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Differentiation of SRB states for hyperbolic flows

Published online by Cambridge University Press:  01 April 2008

DAVID RUELLE
DAVID RUELLE*
Affiliation:
Mathematics Department, Rutgers University, and IHES, 91440 Bures sur Yvette, France (email: ruelle@ihes.fr)
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Abstract

Let the vector field on M define a flow (fat) with an Axiom A attractor Λa depending continuously on a∈(−ϵ,ϵ). Let ρa be the SRB measure on Λa for (fat). If , then is on (−ϵ,ϵ) and dρa(A)/da is the limit when ω→0 with Im ω>0 of

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 2: William Parry Memorial Volume , April 2008 , pp. 613 - 631
Copyright
Copyright © Cambridge University Press 2008

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