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Communications in Mathematical Physics
Article
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Other literature type . 1983
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Communications in Mathematical Physics
Article . 1983 . Peer-reviewed
License: Springer TDM
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https://dx.doi.org/10.1007/bf0...
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Computing the topological entropy of maps

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jun 1983 English Publisher:Springer Science and Business Media LLCJournal:Communications in Mathematical Physics, volume 88, pages 257-262 (issn: 0010-3616, eissn: 1432-0916, Copyright policy )
Authors: Collet, P.; Crutchfield, J. P.; Eckmann, J.-P.;

doi: 10.1007/bf01209479

Computing the topological entropy of maps

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.

Related Organizations
Keywords

kneading sequence, Topological dynamics, unimodular map, metric entropy, 58F13, 58F08, Dynamical systems and ergodic theory, topological entropy, Entropy in general topology, 28D20, maps of the interval, Lyapunov exponent

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Average
Top 10%
Top 10%
Green
bronze