A closing lemma for polynomial automorphisms of C^2

Romain Dujardin (LPMA)

A closing lemma for polynomial automorphisms of C^2

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arxiv 1709.01378 v1 pith:CMC7TMXI submitted 2017-09-05 math.DS

Romain Dujardin (LPMA) This is my paper · ORCID

classification math.DS

keywords polynomialapartautomorphismscasesclosingclosurecontaineddiffeomorphism

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We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.

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Structural Instability of Semi-Siegel H\'enon maps
math.DS 2019-08 conditional novelty 6.0 of 10

The golden-mean semi-Siegel Hénon family is not weakly J*-stable at any parameter, yielding Newhouse phenomenon and disconnected Julia sets on dense parameter sets.

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