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Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2

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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https://hal.archives-ouvertes.fr/hal-01824957
Contributor : Romain Dujardin <>
Submitted on : Wednesday, June 27, 2018 - 5:49:09 PM
Last modification on : Friday, April 10, 2020 - 5:26:45 PM
Document(s) archivé(s) le : Thursday, September 27, 2018 - 4:11:34 AM

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  • HAL Id : hal-01824957, version 1
  • ARXIV : 1806.10917

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Romain Dujardin. Saddle hyperbolicity implies hyperbolicity for polynomial automorphisms of C^2. 2018. ⟨hal-01824957⟩

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