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articleNo Access
INFINITE ITERATED FUNCTION SYSTEMS IN CANTOR SPACE AND THE HAUSDORFF MEASURE OF ω-POWER LANGUAGES
- LUDWIG STAIGER
International Journal of Foundations of Computer Science01 Aug 2005
Preview 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.

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