3 problems

Let $f$ be a transcendental entire function, and let … be its escaping set. Eremenko's conjecture. Every connected component of $I(f)$ is unbounded. The conjecture has been confirm…

Let $E_{\kappa}(z)=e^z+\kappa$ be an exponential map, let $J(E_{\kappa})$ denote its Julia set, and let $I(E_{\kappa})$ denote its escaping set. An order-preserving conjugacy betwe…

Quite fast escaping set conjecture. The set $Q(f)$ contains a spider's web. Consequently, $I(f)$ is a spider's web and is connected.