Complex Continued Fractions with Restricted Entries
Date
1998-10-19
Authors
Hanus, Pawel
Urbanski, Mariusz
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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.
Description
Keywords
Iterated function systems, Complex continued fractions, Hausdorff dimension, Hausdorff measure, Packing measure
Citation
Hanus, P. & Urbanski, M. (1998). Complex continued fractions with restricted entries. <i>Electronic Journal of Differential Equations, 1998</i>(27), pp. 1-9.
Rights
Attribution 4.0 International