 93101 JeanMichel Ghez , Enzo Orlandini , MariaCarla Tesi , Sandro Vaienti
 Dynamical integral transform on fractal sets and the computation of entropy
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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 2nd 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.
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93101.tex