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Local self-similarity and the Hausdorff dimension

✍ Scribed by Albert Benassi; Serge Cohen; Jacques Istas


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
90 KB
Volume
336
Category
Article
ISSN
1631-073X

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Slow and fast convergence to local dimen
✍ L. Olsen πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 205 KB

Let K and Β΅ be the self-similar set and the self-similar measure associated with an iterated function system with probabilities (Si, pi)i=1,...,N satisfying the Open Set Condition. Let Ξ£ = {1, . . . , N} N denote the full shift space and let Ο€ : Ξ£ β†’ K denote the natural projection. The (symbolic) lo