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Power-law random walks | | C. Vignat
; A. Plastino
; | | Date: |
29 Jun 2006 | | Subject: | Statistical Mechanics | | Abstract: | We present some new results about the distribution of a random walk whose independent steps follow a $q-$Gaussian distribution with exponent $frac{1}{1-q}; q in mathbb{R}$. In the case $q>1$ we show that a stochastic representation of the point reached after $n$ steps of the walk can be expressed explicitly for all $n$. In the case $q<1,$ we show that the random walk can be interpreted as a projection of an isotropic random walk, i.e. a random walk with fixed length steps and uniformly distributed directions. | | Source: | arXiv, cond-mat/0606768 | | Other source: | [GID 851717] pmid17279894 | | Services: | Forum | Review | PDF | Favorites | |
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