10 citations · 15 across the 3 of their papers we have counts for
5 papers
On the Erdős-Sloane and Shifted Sloane Persistence Problems
Gabriel Bonuccelli, Lucas Colucci, Edson de Faria
In this paper, we investigate two variations on the so-called persistence problem of Sloane: the shifted version, which was introduced by Wagstaff; and the nonzero version, propose…
Generalized Whitney Topologies are Baire
Edson de Faria, Peter Hazard
In this paper we show that certain generalizations of the -Whitney topology, which include the Hölder-Whitney and Sobolev-Whitney topologies on smooth manifolds, satisfy the B…
Dynamics of asymptotically holomorphic polynomial-like maps
Trevor Clark, Edson de Faria, Sebastian van Strien
The purpose of this paper is to initiate a theory concerning the dynamics of asymptotically holomorphic polynomial-like maps. Our maps arise naturally as deep renormalizations of a…
Genericity of Infinite Entropy for Maps with Low Regularity
Edson de Faria, Peter Hazard, Charles Tresser
For bi-Lipschitz homeomorphisms of a compact manifold it is known that topological entropy is always finite. For compact manifolds of dimension two or greater, we show that in the…
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…