Journalartikel

Jahr der Veröffentlichung: 2001

Seiten: 347-372

Zeitschrift: Pacific Journal of Mathematics

Bandnummer: 198

Heftnummer: 2

ISSN: 0030-8730

Open Access Status: Bronze

Verlag: Mathematical Sciences Publishers (MSP)

Abstract: 
For a sequence (c(n)) of complex numbers we consider the quadratic polynomials fc(n) (z) : = z(2) + c(n) and the sequence (F-n) of iterates F-n : = f(cn)circle...circlef(c1). The Fatou set F-(cn) is by definition the set of all z is an element of (C) over cap such that (F-n) is normal in some neighbourhood of z, while the complement of F-(cn) is called the Julia set J((cn)). The aim of this article is to study geometric properties, Lebesgue measure and Hausdorff dimension of the Julia set J((cn)) provided that the sequence (c(n)) is bounded.

Harvard-Zitierstil: Brück, R. (2001) Geometric properties of Julia sets of the composition of polynomials of the form z²+c_n, Pacific Journal of Mathematics, 198(2), pp. 347-372

APA-Zitierstil: Brück, R. (2001). Geometric properties of Julia sets of the composition of polynomials of the form z²+c_n. Pacific Journal of Mathematics. 198(2), 347-372.