# Hausdorff dimension and hierarchical system dynamics

Source: [Hausdorff dimension and hierarchical system dynamics](<https://www.sota2.com/research/paper/68fa238b2c2a376019399358>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:52:33.804Z

Authors: K. Lukierska-Walasek, K. Topolski

Published: 2009-06-08T15:55:26.000Z

## 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 L\\'evy stochastic processes on p-adic integer numbers.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/0906.1486>)

[PDF](<https://arxiv.org/pdf/0906.1486.pdf>)