Polynomial skew-products in dimension 2: Bulging and Wandering Fatou components

Jasmin Raissy (1)

1 IMT - Institut de Mathématiques de Toulouse UMR5219

In this short note we give an updated account of the recent results on Fatou components for polynomial skew-products in complex dimension two in a neighbourhood of an invariant fiber, dividing our discussion according to the different possible kinds of invariant fibers.

Mots clés: wandering Fatou components; bulging Fatou components; Polynomial skew-products

Domaines: Systèmes dynamiques [math.DS]; Variables complexes [math.CV]

Jasmin Raissy. Polynomial skew-products in dimension 2: Bulging and Wandering Fatou components. Bollettino dell'Unione Matematica Italiana, 2017, 10 (3), pp.441 - 450. ⟨10.1007/s40574-016-0101-1⟩. ⟨hal-01610339⟩