Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C²

2018/06/28 by Dujardin, Romain
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.10917

Abstract

We prove that for a polynomial diffeomorphism of C², uniform hyperbolicity on the set of saddle periodic points implies that saddle points are dense in the Julia set. In particular f satisfies Smale's Axiom A on C² .

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