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arXiv · 1806.10917

Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2

Romain Dujardin
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Abstract

We prove that for a polynomial diffeomorphism of C^2, 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 C^2 .

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Romain Dujardin. 2018-06-28. Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2. https://arxiv.org/abs/1806.10917

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