Zero entropy invariant measures for some skew product diffeomorphisms

Details Zero entropy invariant measures for some skew product diffeomorphisms Zero entropy invariant measures for some skew product diffeomorphisms

2008-12-15

arxiv.org/abs/0812.2944v1

Mathematics

Dynamical Systems

7 pages, submitted to Ergodic Theory and Dynamical Systems

Scientific paper

In this paper we study some skew product diffeomorphisms with nonuniformly
hyperbolic structure along fibers. We show that there is an invariant measure
with zero entropy which has atomic conditional measures along fibers.

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