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Volume 11 / Issue 12

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DOI:   10.3217/jucs-011-12-2114

 

Hausdorff Measure and Lukasiewicz Languages

Ludwig Staiger (Martin-Luther Universt├Ąt Halle-Wittenberg, Germany)

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: Cantor space, Hausdorff measure, attractor, fractals, iterated function system, omega-languages, simple deterministic languages

Categories: F.1.1, F.4.1