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Multifractal formalism for self-affine measures with overlaps

✍ Scribed by Qi-Rong Deng; Sze-Man Ngai


Publisher
Springer
Year
2009
Tongue
English
Weight
172 KB
Volume
92
Category
Article
ISSN
0003-889X

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There are strong reasons to believe that the multifractal spectrum of DLA shows anomalies which have been termed left-sided. In order to show that this is compatible with strictly multiplicative structures Mandelbrot and co-workers introduced a one-parameter family of multifractal measures, invarian

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✍ L. Olsen πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 238 KB

## Abstract By now the multifractal structure of self‐similar measures satisfying the so‐called Open Set Condition is well understood. However, if the Open Set Condition is not satisfied, then almost nothing is known. In this paper we prove a nontrivial lower bound for the symbolic multifractal spe