Multifractal decomposition of statistically self-similar sets

Authors
Citation
Jh. Yu et Dh. Hu, Multifractal decomposition of statistically self-similar sets, ACTA MATH S, 17(3), 2001, pp. 507-516
Citations number
6
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574 → ACNP
Volume
17
Issue
3
Year of publication
2001
Pages
507 - 516
Database
ISI
SICI code
1000-9574(200107)17:3<507:MDOSSS>2.0.ZU;2-8
Abstract
Let K be a statistically self-similar set defined by Graf. In this paper, w e construct a random measure rho which is supported by K and study the mult ifractal decomposition for K with rho. Under such a decomposition, we obtai n the expression of the spectrum function f (alpha).