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

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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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     author = {K. Lukierska-Walasek and K. Topolski},
     title = {Hausdorff {Dimension} and {Hierarchical} {System} {Dynamics}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_265_a13/}
}
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K. Lukierska-Walasek; K. Topolski. Hausdorff Dimension and Hierarchical System Dynamics. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 159-164. http://geodesic.mathdoc.fr/item/TM_2009_265_a13/