 99422 Fernando J. SanchezSalas
 Horseshoes with infinitely many branches and a
characterization of SinaiRuelleBowen measures
(798K, .ps .dvi)
Nov 9, 99

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Let $f$ be a $C^2$ diffeomorphism of a compact riemannian
manifold $M^m$ and $\mu$ an ergodic finvariant Borel probability
with non zero Lyapunov exponents. We prove that $\mu$ is a
SinaiRuelleBowen (SRB) measure if and only if we can reduce the
dynamics on an invariant set of total measure to a horseshoe with
infinitely many branches and variable return times. Also, and as a
consequence of our approach we give a new proof of the well known
LedrappierYoung's characterization theorem.
 Files:
99422.src(
99422.keywords ,
articleETDS.ps ,
articleETDS.dvi.mm )