10 citations · 15 across the 3 of their papers we have counts for
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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…