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Random Multifractals: Negative Dimensions and the Resulting Limitations of the Thermodynamic Formalism

✍ Scribed by Mandelbrot, B. B.

Book ID
120149471
Publisher
The Royal Society
Year
1991
Tongue
English
Weight
378 KB
Volume
434
Category
Article
ISSN
0962-8444

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By obtaining a new sufficient condition for a valid multifractal formalism, we improve in this paper a result developed by L. Olsen (1995, Adv. Math. 116, 82-196). In particular, we describe a large class of measures satisfying the multifractal formalism and for which the construction of Gibbs measu