JUCS - Journal of Universal Computer Science 11(12): 2114-2124, doi: 10.3217/jucs-011-12-2114
Hausdorff Measure and Lukasiewicz Languages
expand article infoLudwig Staiger‡
‡ Martin-Luther-University Halle-Wittenberg, Wittenberg, Germany

Corresponding author: Ludwig Staiger ( staiger@informatik.uni-halle.de )

© Ludwig Staiger.
This article is freely available under the J.UCS Open Content License.
Citation: Staiger L (2005) Hausdorff Measure and Lukasiewicz Languages. JUCS - Journal of Universal Computer Science 11(12): 2114-2124. https://doi.org/10.3217/jucs-011-12-2114
Open Access
Abstract
The paper investigates fixed points and attractors of infinite iterated function systems in Cantor space. By means of the theory of formal languages simple examples of the non-coincidence of fixed point and attractor (closure of the fixed point) are given.
Keywords
iterated function system, attractor, fractals, Hausdorff measure, Cantor space, omega-languages, fractals, simple deterministic languages