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Article Contents

# Spectrum of dimensions for Poincaré recurrences of Markov maps

• 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.
Mathematics Subject Classification: 37C45.

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