Spectrum of dimensions for Poincaré recurrences of Markov maps Article uri icon

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.

publication date

  • 2002-01-01