Hausdorff dimension and hierarchical system dynamics

K. Lukierska-Walasek, K. Topolski

Published 2009-06-08Version 1

We show that Hausdorff dimension may be used to distinguish different dynamics of therelaxation in hierarchical systems. We examine the hierarchical systems following the temperature-dependent power-law decay and the Kohlrausch law. For our purposes, we consider a L\'evy stochastic processes on p-adic integer numbers.