Hausdorff dimension and hierarchical system dynamics
arXiv:0906.1486
Abstract
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 Lévy stochastic processes on p-adic integer numbers.
7 pages