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Computing the topological entropy of maps

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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.

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References

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Authors and Affiliations

  1. Ecole Polytechnique, Laboratoire de Physique Théorique, F-91128, Palaiseau, France

    P. Collet

  2. Physics Board of Studies, University of California, 95064, Santa Cruz, CA, USA

    J. P. Crutchfield

  3. Département de Physique Théorique, Université de Genève, CH-1211, Genève 4, Switzerland

    J. -P. Eckmann

Authors
  1. P. Collet
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  2. J. P. Crutchfield
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  3. J. -P. Eckmann
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Communicated by O. E. Lanford

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Collet, P., Crutchfield, J.P. & Eckmann, J.P. Computing the topological entropy of maps. Commun.Math. Phys. 88, 257–262 (1983). https://doi.org/10.1007/BF01209479

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  • DOI: https://doi.org/10.1007/BF01209479

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