3 problems

Let $\Omega\subset\mathbb C^N$ be a bounded convex domain, let $z_0\in\Omega$, and let $\mathcal G_{z_0}$ be the family of all geodesic segments and geodesic rays starting from…

Let $\Omega\subset\mathbb C^N$ be a bounded convex domain. It is complex visible if for every distinct $p,q\in\partial\Omega$ there exist a compact set $K\Subset\Omega$ and open ne…

The cluster-set conjecture. If $p,q\in\Gamma(\{\gamma_k\})$ and $p\ne q$, then either