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Title: Farey neighbors and hyperbolic Lorenz knots
Authors: Gomes, Paulo
Franco, Nuno
Silva, Luís
Keywords: Lorenz knots
symbolic dynamics
hyperbolic knots
Issue Date: 23-Jun-2017
Publisher: World Scientific Publishing Company
Citation: P.Gomes, N.Franco, and L.Silva. Farey neighbors and hyperbolic Lorenz knots.-J. Knot Theory Ramifications, vol.26, no.9, art.1743004 (2017) [14 pages]
Abstract: Based on symbolic dynamics of Lorenz maps, we prove that, provided one conjecture due to Morton is true, then Lorenz knots associated to orbits of points in the renormalization intervals of Lorenz maps with reducible kneading invariant of type (X, Y )∗S, where the sequences X and Y are Farey neighbors verifying some conditions, are hyperbolic.
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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