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Accueil du site > Annuaire > COURBAGE Maurice > DIRECTIONAL COMPLEXITY AND ENTROPY FOR LIFT MAPPINGS.

DIRECTIONAL COMPLEXITY AND ENTROPY FOR LIFT MAPPINGS

Valentin Afraimovich, Maurice Courbage, Lev Glebsky

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 direc- tional entropy, to find the maximal directional entropy, and to show that it equals the topological entropy of the map.

DYNAMICAL SYSTEMS SERIES B Volume 20, Number 10, December 2015

ENTROPY FOR LIFT MAPPINGS


Contact : Published on / Publié le 21 December 2016


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