10 citations · 27 across the 9 of their papers we have counts for
4 papers · 1 filter
Explosion of differentiability for equivalencies between Anosov flows on 3-manifolds
Mario Bessa, Sergio Dias, Alberto A. Pinto
For Anosov flows obtained by suspensions of Anosov diffeomorphisms on surfaces, we show the following type of rigidity result: if a topological conjugacy between them is differenti…
Explosion of smoothness for conjugacies between multimodal maps
Jose F. Alves, Vilton Pinheiro, Alberto A. Pinto
Let and be smooth multimodal maps with no periodic attractors and no neutral points. If a topological conjugacy between and is at a point in the nearby…
Global hyperbolicity of renormalization for C^r unimodal mappings
Edson de Faria, Welington de Melo, Alberto Pinto
In this paper we extend M. Lyubich's recent results on the global hyperbolicity of renormalization of quadratic-like germs to the space of C^r unimodal maps with quadratic critical…
Dynamical Systems Applied to Asymptotic Geometry
A. A. Pinto, D. Sullivan
In the paper we discuss two questions about smooth expanding dynamical systems on the circle. (i) We characterize the sequences of asymptotic length ratios which occur for systems…