%0 Generic %1 bergweiler2021hausdorff %A Bergweiler, Walter %A Cui, Weiwei %D 2021 %K complex_dynamics hausdorff_dimension meromorphic_functions %T The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class %U http://arxiv.org/abs/2105.00938 %X We show that for each $d(0,2$ there exists a meromorphic function $f$ such that the inverse function of $f$ has three singularities and the Julia set of $f$ has Hausdorff dimension $d$.

@preprint{bergweiler2021hausdorff, abstract = {We show that for each $d\in (0,2]$ there exists a meromorphic function $f$ such that the inverse function of $f$ has three singularities and the Julia set of $f$ has Hausdorff dimension $d$.}, added-at = {2021-05-13T22:35:43.000+0200}, author = {Bergweiler, Walter and Cui, Weiwei}, biburl = {https://www.bibsonomy.org/bibtex/2185faee3ada4938cb3329778f2f2550f/lukas.geyer}, description = {The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class}, interhash = {95b6ab5f5a3ce73b0d7940bcae25e4ba}, intrahash = {185faee3ada4938cb3329778f2f2550f}, keywords = {complex_dynamics hausdorff_dimension meromorphic_functions}, note = {cite arxiv:2105.00938Comment: 19 pages}, timestamp = {2021-05-13T22:35:43.000+0200}, title = {The Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class}, url = {http://arxiv.org/abs/2105.00938}, year = 2021 }