Power laws from randomly sampled continuous-time random walks

Giancarlo Mosetti, Giancarlo Jug and Enrico Scalas

Physica A: Statistical Mechanics and its Applications, 2007, vol. 375, issue 1, 233-238

Abstract: It has been shown by Reed that random-sampling a Wiener process x(t) at times T chosen out of an exponential distribution gives rise to power laws in the distribution P(x(T))∼x(T)-β. We show, both theoretically and numerically, that this power-law behaviour also follows by random-sampling Lévy flights (as continuous-time random walks), having Fourier distribution w^(k)=e-|k|α, with the exponent β=α.

Keywords: Continuous-time random walks; Population dynamics; Power laws (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:375:y:2007:i:1:p:233-238

DOI: 10.1016/j.physa.2006.08.065

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