Self-similar measures on the Julia sets of polynomials

Authors
Zhou, J Qui, WY Ren, FY
Citation
J. Zhou et al., Self-similar measures on the Julia sets of polynomials, PROG NAT SC, 10(4), 2000, pp. 266-271
Citations number
6
Categorie Soggetti
Multidisciplinary
Journal title
PROGRESS IN NATURAL SCIENCE
ISSN journal
10020071 → ACNP
Volume
10
Issue
4
Year of publication
2000
Pages
266 - 271
Database
ISI
SICI code
1002-0071(200004)10:4<266:SMOTJS>2.0.ZU;2-E
Abstract
If the immediate basin of infinity of a polynomial P(z) contains at least o ne of its critical points, then there is a self-similar measure on its Juli a set, and if all the critical points of P(z) lie in the immediate basin of infinity, then the self-similar measure is unique.