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On the Hausdorff dimension of harmonic measure in higher dimension

โœ Scribed by J. Bourgain


Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
223 KB
Volume
87
Category
Article
ISSN
0020-9910

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๐Ÿ“œ SIMILAR VOLUMES


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