2 papers
math.DS2016
Farey neighbors and hyperbolic Lorenz knots
Paulo Gomes, Nuno Franco, Luís Silva
Based on symbolic dynamics of Lorenz maps, we prove that, pro- vided one conjecture due to Morton is true, then Lorenz knots asso- ciated to orbits of points in the renormalization…
math.GT2014
Partial Classification of Lorenz Knots: Syllable Permutations of Torus Knots Words
Paulo Gomes, Nuno Franco, Luis Silva
We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable permutations of symbolic words corresponding to torus knots. An algorithm to const…