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Hausdorff dimension of harmonic measures in the plane

✍ Scribed by Peter W. Jones; Thomas H. Wolff


Book ID
112742212
Publisher
Springer Netherlands
Year
1988
Tongue
English
Weight
489 KB
Volume
161
Category
Article
ISSN
0001-5962

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Hausdorff Dimension of Harmonic Measure
✍ Mariusz UrbaΕ„ski; Anna Zdunik πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 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