McMullen’s and geometric pressures and approximating the Hausdorff dimension of Julia sets from below
Volume 69 / 2021
Bulletin Polish Acad. Sci. Math. 69 (2021), 115-137
MSC: Primary 37F35; Secondary 37F10.
DOI: 10.4064/ba211224-4-3
Published online: 26 March 2022
Abstract
We introduce new variants of the notion of geometric pressure for rational functions on the Riemann sphere, including non-hyperbolic functions, in the hope that some of them will turn out useful to achieve fast approximation from below of the hyperbolic Hausdorff dimension of Julia sets.
