On the connectivity of the escaping set for complex exponential Misiurewicz parameters
On the connectivity of the escaping set for complex exponential Misiurewicz parameters
Let $E_{\lambda }(z)=\lambda \textrm {exp}(z), \lambda \in \mathbb C$, be the complex exponential family. For all functions in the family there is a unique asymptotic value at $0$ (and no critical values). For a fixed $\lambda$, the set of points in $\mathbb C$ with orbit tending to infinity is called …