Fractal properties of de Rham-type curve associated to random walk

In this paper, we analyze the fractal structure of de Rham-type curve associated to random walk that describes a generalized hydrodynamic mode of the diffusion process, and precisely compute the Hausdorff dimension of this curve. We furthermore find, to our astonishment, that this Hausdorff dimensio...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2004, Vol.21 (3), p.695-700
Main Authors: Shang, Pengjian, Li, Xuewei, Kamae, Santi
Format: Article
Language:English
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Summary:In this paper, we analyze the fractal structure of de Rham-type curve associated to random walk that describes a generalized hydrodynamic mode of the diffusion process, and precisely compute the Hausdorff dimension of this curve. We furthermore find, to our astonishment, that this Hausdorff dimension is independent of the probabilities of the random walk.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2003.12.099