- 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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