Complex continued fractions with restricted entries

Complex continued fractions with restricted entries

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 Hausdor...

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Bibliographic Details
Main Authors: Pawel Hanus, Mariusz Urbanski
Format: Article
Language:English
Published: Texas State University 1998-10-01
Series:Electronic Journal of Differential Equations
Subjects:
iterated function systems
complex continued fractions
Hausdorff dimension
Hausdorff measure
packing measure.
Online Access:http://ejde.math.txstate.edu/Volumes/1998/27/abstr.html
Description
Summary: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.
ISSN:1072-6691

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