The capacity of parabolic Julia sets (Q1204282)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The capacity of parabolic Julia sets |
scientific article; zbMATH DE number 126398
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The capacity of parabolic Julia sets |
scientific article; zbMATH DE number 126398 |
Statements
The capacity of parabolic Julia sets (English)
0 references
3 March 1993
0 references
We prove that the Hausdorff dimension \(h\) of the Julia set of a parabolic rational map is equal to its capacity (box dimension), and is also equal to the Hausdorff dimension of the unique \(h\)-conformal measure.
0 references
conformal measure
0 references
Hausdorff dimension
0 references
Julia set
0 references
0 references
0 references
