Computing the Topological Entropy of Maps

P. Collet
Ecole Polytechnique, Laboratoire de Physique Theorique
F-91128 Palaiseau, France

J. P. Crutchfield
Physics Board of Studies, University of California
Santa Cruz, California 95064 USA

J.-P. Eckmann,
Department de Physique Theorique, Universite de Geneve
CH-1211 Geneve 4, Switzerland

Abstract

We give an algorithm for determining the topological entropy of a unimodal map of the interval given its kneading sequence. We also show that this algorithm converges exponentially in the number of letters of the kneading sequence.

Citation

P. Collet, J. P. Crutchfield, and J.-P. Eckmann, Computing the Topological Entropy of Maps, Commun. Math. Phys. 88 (1983) 257-262.

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