Area and perimeter covered by anomalous diffusion processes

Abstract

We investigate the geometric properties of two-dimensional continuous time random walks that are used extensively to model stochastic processes exhibiting anomalous diffusion in a variety of different fields. Using the concept of subordination, we determine exact analytical expressions for the average perimeter and area of the convex hulls for this class of… (More)

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Cite this paper

@inproceedings{Lukovi2013AreaAP, title={Area and perimeter covered by anomalous diffusion processes}, author={Mirko Lukovi and Mirko Lukovi{\'c} and Theo Geisel and Stephan Eule}, year={2013} }