99-23 J. Schmeling and S. Troubetzkoy
Scaling Properties of Hyperbolic Measures (100K, Dvi) Jan 21, 99
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Abstract. In this article we consider a class of maps which includes $C^{1 + \alpha}$ diffeomorphisms as well as invertible and nonivertible maps with piecewise smooth singularities. We prove a general scaling result for any hyperbolic measure which is invariant for a map from our class. The existence of the pointwise dimension and the Brin-Katok local entropy formula are special cases of our scaling result.

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