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Non-Gaussian random walks
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Ball, Robin, 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. doi:10.1088/0305-4470/20/12/052 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 |
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| Divisions: | Faculty of Science, Engineering and Medicine > 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 | ||||
| Official Date: | 1987 | ||||
| Dates: |
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| Volume: | Vol.20 | ||||
| Number: | No.12 | ||||
| Page Range: | pp. 4055-4059 | ||||
| DOI: | 10.1088/0305-4470/20/12/052 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published |
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