4 problems

Let $f_1,f_2,\ldots$ be a sequence of automorphisms of $\mathbb{C}^k$. Assume that there exist constants $0<a<b<1$ such that, for every $n$ and every $z$ in the unit ball, one has…

Bedford's conjecture. The basin of attraction

Fornaess–Stensønes basin conjecture. The basin $\Omega$ is always biholomorphic to $\mathbb C^m$. A positive answer would imply a positive answer to Bedford's stable-manifold conje…

Let $(\Phi_{n,n+1})_{n\in\mathbb N}$ be a family of automorphisms of $\mathbb C^q$. Assume that there exist $0<\nu\leq\mu<1$ and $r>0$ such that … The basin of attraction … is Bedf…