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Density theorems for Hausdorff and packing measures of self-similar sets

โœ Scribed by Lars Olsen


Publisher
Springer
Year
2008
Tongue
English
Weight
220 KB
Volume
75
Category
Article
ISSN
0001-9054

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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