Hausdorff dimension of escaping sets of Nevanlinna functions
Dynamical Systems
2021-10-04 v2
Abstract
We determine the exact values of Hausdorff dimensions of escaping sets of meromorphic functions with polynomial Schwarzian derivatives. This will follow from the relation between these functions and the second order differential equations in the complex plane.
Keywords
Cite
@article{arxiv.1901.02583,
title = {Hausdorff dimension of escaping sets of Nevanlinna functions},
author = {Weiwei Cui},
journal= {arXiv preprint arXiv:1901.02583},
year = {2021}
}
Comments
13 pages. Two new theorems are added and some overall revision