Entropy and knots

John M Franks, R. F. Williams

Research output: Contribution to journalArticle

30 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 languageEnglish (US)
Pages (from-to)241-253
Number of pages13
JournalTransactions of the American Mathematical Society
Volume291
Issue number1
DOIs
StatePublished - Jan 1 1985

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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