This is based on the papers by Mariusz UrbaĆski and Anna Zdunik The finer
geometry and dynamics of some meromorphic functions, Real analyticity of
Hausdorff dimension of finer Julia sets of exponential family. I would
like to show how they proved Bowen's Formula for hyperbolic exponential
maps, i.e. the Hausdorff dimension of the set of points from the Julia set
which do not escape to infinity is the zero of the pressure.