Hausdorff Dimension and Hierarchical System Dynamics

K. Lukierska-Walasek ; K. Topolski

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 159-164

Résumé

We show that the Hausdorff dimension may be used to distinguish different relaxation dynamics in hierarchical systems. We examine the hierarchical systems following the temperature-dependent power-law decay and the Kohlrausch law. For our purposes, we consider random walks on $p$-adic integer numbers.

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