INFINITE ITERATED FUNCTION SYSTEMS IN CANTOR SPACE AND THE HAUSDORFF MEASURE OF ω-POWER LANGUAGES-Reference-Cited by-同舟云学术

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INFINITE ITERATED FUNCTION SYSTEMS IN CANTOR SPACE AND THE HAUSDORFF MEASURE OF ω-POWER LANGUAGES

Published:2005-08 Issue:04 Volume:16 Page:787-802
ISSN:0129-0541
Container-title:International Journal of Foundations of Computer Science
language:en
Short-container-title:Int. J. Found. Comput. Sci.

Author:

STAIGER LUDWIG¹

Affiliation:

1. Institut für Informatik, Martin-Luther-Universität Halle- Wittenberg, D - 06099 Halle, Germany

Abstract

We use means of formal language theory to estimate the Hausdorff measure of sets of a certain shape in Cantor space. These sets are closely related to infinite iterated function systems in fractal geometry. Our results are used to provide a series of simple examples for the non-coincidence of limit sets and attractors for infinite iterated function systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129054105003297

Reference25 articles.

2. Affine automata and related techniques for generation of complex images

3. Measure, Topology, and Fractal Geometry

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