title: Sierpinski signal generates 1/f alpha spectra.
abstract: We investigate the row sum of the binary pattern generated by the Sierpinski automaton: Interpreted as a time series we calculate the power spectrum of this Sierpinski signal analytically and obtain a unique rugged fine structure with underlying power law decay with an exponent of approximately 1.15. Despite the simplicity of the model, it can serve as a model for 1/f(alpha) spectra in a certain class of experimental and natural systems such as catalytic reactions and mollusc patterns.
authors.affiliation: Institut für Theoretische Physik und Astrophysik, Universität Kiel, Leibnizstrasse 15, D-24098 Kiel, Germany.
authors.forename: Jens Christian
authors.initials: JC
authors.lastname: Claussen
authors.forename: Jan
authors.initials: J
authors.lastname: Nagler
authors.forename: Heinz Georg
authors.initials: HG
authors.lastname: Schuster