RANDOM SELF-SIMILAR MULTIFRACTALS

Citation
M. Arbeiter et N. Patzschke, RANDOM SELF-SIMILAR MULTIFRACTALS, Mathematische Nachrichten, 181, 1996, pp. 5-42
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
181
Year of publication
1996
Pages
5 - 42
Database
ISI
SICI code
0025-584X(1996)181:<5:RSM>2.0.ZU;2-T
Abstract
For describing the local structure of a random self-similar measure we use the multifractal decomposition of its support into sets of points of different local dimension. Under the strong open set condition we compute the Hausdorff dimensions of these sets and the generalized dim ensions of the random self-similar measure. Furthermore, the-tangentia l distribution of the random self-similar measure is investigated.