SELF-CONFORMAL MULTIFRACTAL MEASURES

Authors
PATZSCHKE N
Citation
N. Patzschke, SELF-CONFORMAL MULTIFRACTAL MEASURES, Advances in applied mathematics, 19(4), 1997, pp. 486-513
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
Journal title
Advances in applied mathematics → ACNP
ISSN journal
01968858
Volume
19
Issue
4
Year of publication
1997
Pages
486 - 513
Database
ISI
SICI code
0196-8858(1997)19:4<486:SMM>2.0.ZU;2-3
Abstract
A self-conformal measure is a measure invariant under a set of conform al mappings. In this paper we describe the local structure of self-con formal measures. For such a measure we divide its support into sets of fixed local dimension and give a formula for the Hausdorff and packin g dimensions of these sets. Moreover, we compute the generalized dimen sions of the self-conformal measure. (C) 1997 Academic Press.