 97243 N.I. Chernov
 On SinaiBowenRuelle measures on horocycles of 3D Anosov flows
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Apr 25, 97

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Abstract. Let $\phi^t$ be a topologically mixing Anosov flow on a 3D compact
manifolds $M$. Every unstable fiber (horocycle) of such a flow is
dense in $M$. Sinai proved in 1992 that the onedimensional SBR
measures on long segments of unstable fibers converge uniformly
to the SBR measure of the flow. We establish an explicit bound
on the rate of convergence in terms of integrals of H\"older
continuous functions on $M$.
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