2 citations · 2 across the 3 of their papers we have counts for
4 papers
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…
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…
Zeta-functions of renormalizable sub-Lorenz templates
Nuno Franco, Luis Silva
We describe the Williams zeta functions and the twist zeta functions of sub-Lorenz templates generated by renormalizable Lorenz maps, in terms of the corresponding zeta-functions o…
Genus and braid index associated to sequences of renormalizable Lorenz maps
Nuno Franco, Luis Silva
We describe the Lorenz links generated by renormalizable Lorenz maps with reducible kneading invariant , in terms of the links corresponding to each fact…