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Non-Gaussian random walks
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Ball, R. C., Havlin, Shlomo and Weiss, G. H.. (1987) Non-Gaussian random walks. Journal of Physics A: Mathematical and General, Vol.20 (No.12). pp. 4055-4059. ISSN 0305-4470
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Official URL: http://dx.doi.org/10.1088/0305-4470/20/12/052
Abstract
The authors present an explicit expression for the probability distribution for the position of a continuous-time random walker in an arbitrary number of dimensions when the interjump density has a long time tail, in contrast to earlier results which require numerical inversion of a Fourier integral. They replace this numerical procedure by one that relies on the method of steepest descents. Their results are applied to diffusion on a comb and on a percolation cluster generated on a Cayley tree at criticality and are confirmed numerically.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | Faculty of Science > Physics |
| Library of Congress Subject Headings (LCSH): | Random walks (Mathematics), Stochastic processes, Fractals |
| Journal or Publication Title: | Journal of Physics A: Mathematical and General |
| Publisher: | Institute of Physics Publishing Ltd. |
| ISSN: | 0305-4470 |
| Date: | 1987 |
| Volume: | Vol.20 |
| Number: | No.12 |
| Page Range: | pp. 4055-4059 |
| Identification Number: | 10.1088/0305-4470/20/12/052 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| URI: | http://wrap.warwick.ac.uk/id/eprint/39427 |
Data sourced from Thomson Reuters' Web of Knowledge
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