Hausdorff dimension and hierarchical system dynamics |
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| Authors: | K. Lukierska-Walasek K. Topolski |
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| Affiliation: | (1) Institute of Physics, University of Zielona Góra, ul. Z. Szafrana 4a, 65-516 Zielona Góra, Poland;(2) Institute of Mathematics, Wrocław University, pl. Grunwaldzki 2/4, 50-384 Wrocłlaw, Poland |
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| Abstract: | 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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