Spectrum of dimensions for Poincaré recurrences of Markov maps
B. Fernandez - Centre de Physique Theorique CNRS Luminy, Case 907 13288 Marseille CEDEX 09, France (email)
Abstract: The spectrum of dimensions for Poincaré recurrences of Markov maps is obtained by constructing a sequence of approximating maps whose spectra are known to be solution of non-homogeneous Bowen equations. We prove that the spectrum of the Markov map also satisfies such an equation.
Keywords: Markov maps, Poincaré recurrences, spectra of dimensions.
Received: March 2001; Revised: May 2002; Published: July 2002.
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