| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6418891 | Journal of Mathematical Analysis and Applications | 2013 | 9 Pages |
Abstract
In this paper, we study the dimensions associated with the Cantor Julia set of a rational map whose Fatou set is an attracting domain. We prove that if the Julia set of such a map contains no persistently recurrent critical points, then the conformal dimension and the Hausdorff dimension of the Julia set are equal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yu Zhai,