Hausdorff dimension and hierarchical system dynamics

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.

K. Lukierska-Walasek, K. Topolski · 2009