Multifractal Decomposition of Statistically Self-Similar Sets

Authors
Yu, Jing Hu Hu, Di He
Citation
Yu, Jing Hu et Hu, Di He, Multifractal Decomposition of Statistically Self-Similar Sets, Acta mathematica Sinica. English series (Print) , 17(3), 2000, pp. 507-516
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
3
Year of publication
2000
Pages
507 - 516
Database
ACNP
SICI code
Abstract
Let K be a statistically self-similar set defined by Graf. In this paper, we construct a random measure which is supported by K and study the multifractal decomposition for K with . Under such a decomposition, we obtain the expression of the spectrum function ().