$p$-chaoticity and regular action of abelian $C^1$-diffeomorphisms groups of ${\mathbb{C}}^n$ fixing a point

Yahya N'Dao, Ayadi Adlene

In this paper, we introduce the notion of regular action of any abelian subgroup G of $Diff^{1}(C^n) on C^n (i.e. the closure of every orbit of G in some open set is a topological…