Fractals associated with random multiplication of polynomials

Random multiplication of a given set of s polynomials with coefficients in a finite field following a random sequence generated by Bernoulli trial with s possible outcomes is a (time-dependent) linear cellular automaton (LCA). As in the case of LCA with states in a finite field we associate with this sequence a compact set - the rescaled evolution set. The law of the iterated logarithm implies that this fractal set almost surely does not depend on the random sequence. (orig.)Available from TIB Hannover: RA 6154(432) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman