Hausdorff Measure and Lukasiewicz Languages
Ludwig Staiger (Martin-Luther Universtät 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