The capacity of parabolic Julia sets
type: Item
instance of: scholarly article
title: The capacity of parabolic Julia sets
zbMATH Open document ID: 0763.30009
DOI: 10.1007/BF02571418
author: Manfred Denker
author: Mariusz Urbański
published in: Mathematische Zeitschrift
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/174431
review text: 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.
reviewed by: Manfred Denker
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37F99
Mathematics Subject Classification ID: 28A78
Mathematics Subject Classification ID: 28D20
zbMATH DE Number: 126398
zbMATH Keywords: conformal measure
zbMATH Keywords: Hausdorff dimension
zbMATH Keywords: Julia set
Wikidata QID: Q121864836
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126398