Electronic Journal of Differential Equations,
Vol. 1998(1998), No. 27, pp. 1-9.

Title: Complex continued fractions with restricted entries

Authors: Pawel Hanus (Univ. of North Texas, Denton, TX, USA)
 Mariusz Urbanski (Univ. of North Texas, Denton, TX, USA)

Abstract: 
   We study special infinite iterated function systems derived from
complex continued fraction expansions with restricted entries.
We focus our attention on the corresponding limit set whose
Hausdorff dimension will be denoted by $h$. 
Our primary goal is to determine whether the $h$-dimensional Hausdorff
and packing measure of the limit set is positive and finite.


Submitted April 21, 1998. Published October 19, 1998.  
Math Subject Classification: 58F23, 58F03, 58F12.
Key Words: iterated function systems; complex continued fractions;
           Hausdorff dimension; Hausdorff measure; packing measure.