Random walks on fractals

Balakrishnan, V. (1995) Random walks on fractals Materials Science and Engineering B, 32 (3). pp. 201-210. ISSN 0921-5107

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/092151...

Related URL: http://dx.doi.org/10.1016/0921-5107(95)03010-7


Random walks (RWs) and related stochastic techniques have become ubiquitous tools in many areas of physics recently. Fractals are no exception. Random walks on fractals have an added interest: random walk trails (e.g. sample paths of Brownian motion) are themselves fractal in general, and interesting kinds of behavior emerge when they occur on fractal structures, in the form of scaling laws. In the case of random Factals, one has a "random walk on a random walk". This is an instance of a so-called "random" random walk, in the study of which considerable progress has recently been made.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Theory Of Diffusion; Percolation Phenomena; Noise Processes And Phenomena; Amorphous Materials
ID Code:1043
Deposited On:25 Sep 2010 11:13
Last Modified:11 May 2011 12:17

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