Directional complexity and entropy for lift mappings Article

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Overview

abstract

• We introduce and study the notion of a directional complexity and entropy for maps of degree 1 on the circle. For piecewise affine Markov maps we use symbolic dynamics to relate this complexity to the symbolic complexity. We apply a combinatorial machinery to obtain exact formulas for the directional entropy, to find the maximal directional entropy, and to show that it equals the topological entropy of the map.

authors

• Afraimovitch Valentín
• Courbage M.
• Glebsky Lev

publication date

• 2015-01-01

published in

• Discrete and Continuous Dynamical Systems - Series B  Journal

Research

keywords

• Direc-tional entropy; Directional complexity; Rotation interval; Space-time window

Identity

Digital Object Identifier (DOI)

• 10.3934/dcdsb.2015.20.3385

Additional Document Info

start page

• 3385

end page

• 3401

volume

• 20

issue

• 10