Geodesic
Hausdorff Dimension and Hierarchical System Dynamics
Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 159-164

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2009_265_a13,
     author = {K. Lukierska-Walasek and K. Topolski},
     title = {Hausdorff {Dimension} and {Hierarchical} {System} {Dynamics}},
     journal = {Informatics and Automation},
     pages = {159--164},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a13/}
}
TY  - JOUR
AU  - K. Lukierska-Walasek
AU  - K. Topolski
TI  - Hausdorff Dimension and Hierarchical System Dynamics
JO  - Informatics and Automation
PY  - 2009
SP  - 159
EP  - 164
VL  - 265
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a13/
LA  - en
ID  - TRSPY_2009_265_a13
ER  - 
%0 Journal Article
%A K. Lukierska-Walasek
%A K. Topolski
%T Hausdorff Dimension and Hierarchical System Dynamics
%J Informatics and Automation
%D 2009
%P 159-164
%V 265
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a13/
%G en
%F TRSPY_2009_265_a13
K. Lukierska-Walasek; K. Topolski. Hausdorff Dimension and Hierarchical System Dynamics. Informatics and Automation, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 159-164. http://geodesic.mathdoc.fr/item/TRSPY_2009_265_a13/