Entropy and knots

John M Franks; R. F. Williams

doi:10.1090/S0002-9947-1985-0797057-1

Entropy and knots

John M Franks, R. F. Williams

Mathematics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

We show that a smooth flow on S3 with positive topological entropy must possess periodic closed orbits in infinitely many different knot type equivalence classes.

Original language	English (US)
Pages (from-to)	241-253
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	291
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1985-0797057-1
State	Published - Jan 1 1985

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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Entropy and knots

Abstract

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