Hausdorff dimension of escaping sets of meromorphic functions
We give a complete description of the possible Hausdorff dimensions of escaping sets for meromorphic functions with a finite number of singular values. More precisely, for any given d ϵ [0, 2] we show that there exists such a meromorphic function for which the Hausdorff dimension of the escaping set is equal to d. The main ingredient is to glue together suitable meromorphic functions by using quas
