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The Hausdorff dimension of chaotic sets for interval self-maps

โœ Scribed by Huoyun Wang; Jincheng Xiong


Book ID
108286326
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
113 KB
Volume
153
Category
Article
ISSN
0166-8641

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Hausdorff Dimension of Harmonic Measure
โœ Mariusz Urbaล„ski; Anna Zdunik ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 433 KB

Under some technical assumptions it is shown that the Hausdorff dimension of the harmonic measure on the limit set of a conformal infinite iterated function system is strictly less than the Hausdorff dimension of the limit set itself if the limit set is contained in a real-analytic curve, if the ite