93-101 Jean-Michel Ghez , Enzo Orlandini , Maria-Carla Tesi , Sandro Vaienti

Dynamical integral transform on fractal sets and the computation of entropy (50K, TeX) Apr 28, 93

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Abstract. We introduce an integral transform of wavelet type, which we call Dynamical Integral Transform, and we show that it can be used to compute the 2-nd Renyi entropy for a large class of invariant measures. The method is then generalized to the whole spectrum of the Renyi entropies and establishes a correspondance between thermodynamic formalism and the Dynamical Integral Transform of expanding strange sets. Numerical examples are presented.

Files: 93-101.tex