A closing lemma for polynomial automorphisms of C^2

Romain Dujardin (1)

1 LPSM (UMR_8001) - Laboratoire de Probabilités, Statistique et Modélisation

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.

Domaines: Systèmes dynamiques [math.DS]

Romain Dujardin. A closing lemma for polynomial automorphisms of C^2. Asterisque, 2020, Quelques aspects de la théorie des systèmes dynamiques: un hommage à Jean-Christophe Yoccoz. I, 415, pp.35-43. ⟨hal-01582013⟩