Measures of Intermediate Entropies for Skew Product Diffeomorphisms
نویسنده
چکیده
In this paper we study a skew product map F with a measure μ of positive entropy. We show that if on the fibers the map are C diffeomorphisms with nonzero Lyapunov exponents, then F has ergodic measures of intermediate entropies. To construct these measures we find a set on which the return map is a skew product with horseshoes along fibers. We can control the average return time and show the maximum entropy of these measures can be arbitrarily close to hμ(F ).
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تاریخ انتشار 2009