Wiman-Valiron discs and the dimension of Julia sets
Dynamical Systems
2019-10-21 v1 Complex Variables
Abstract
We show that the Hausdorff dimension of the set of points of bounded orbit in the Julia set of a meromorphic map with a simply connected direct tract and a certain restriction on the singular values is strictly greater than one. This result is obtained by proving new results related to Wiman-Valiron theory.
Keywords
Cite
@article{arxiv.1910.08474,
title = {Wiman-Valiron discs and the dimension of Julia sets},
author = {James Waterman},
journal= {arXiv preprint arXiv:1910.08474},
year = {2019}
}
Comments
20 pages