Spectra of dimensions for Poincaré recurrences Article

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Overview

abstract

• The spectra of Poincaré recurrences for two classes of dynamical systems are obtained in the framework of the Carathéodory construction. One class contains systems which are topologically conjugate to subshifts with the specification property, the other consists of minimal multipermutative symbolic systems. The spectra are shown to be solutions of a non-homogeneous Bowen equation, and their relationship with multifractal spectra of Lyapunov exponents is exposed.

authors

• Afraimovitch Valentín
• Schmeling J.
• Ugalde Saldaña Edgardo
• Urías Hermosillo Jesús

publication date

• 2000-01-01

published in

• Discrete and Continuous Dynamical Systems  Journal

Research

keywords

• Dimension theory; Multifractal analysis; Poincaré recurrences

Identity

Digital Object Identifier (DOI)

• 10.3934/dcds.2000.6.901

Additional Document Info

start page

• 901

end page

• 914

volume

• 6

issue

• 4