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Hausdorff Dimension of Sets of Generic Points for Gibbs Measures

✍ Scribed by B. M. Gurevich; A. A. Tempelman


Book ID
110390650
Publisher
Springer
Year
2002
Tongue
English
Weight
192 KB
Volume
108
Category
Article
ISSN
0022-4715

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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