Hausdorff Dimension of Exponential Parameter Rays and Their Endpoints

Mihai Bailesteanu, Vlad Balan, Dierk Schleicher

We investigate the set $I$ of parameters $\kappa$ for which the singular value of $z\mapsto e^z+\kappa$ converges to $\infty$. The set $I$ consists of uncountably many parameter rays, plus l…