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- W1972597705 abstract "This paper explores the universal self-similarity of propagating populations. The following general propagation model is considered: particles are randomly emitted from the origin of a $d$-dimensional Euclidean space and propagate randomly and independently of each other in space; all particles share a statistically common---yet arbitrary---motion pattern; each particle has its own random propagation parameters---emission epoch, motion frequency, and motion amplitude. The universally self-similar statistics of the particles' displacements and first passage times (FPTs) are analyzed: statistics which are invariant with respect to the details of the displacement and FPT measurements and with respect to the particles' underlying motion pattern. Analysis concludes that the universally self-similar statistics are governed by Poisson processes with power-law intensities and by the Fr'echet and Weibull extreme-value laws." @default.
- W1972597705 created "2016-06-24" @default.
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- W1972597705 date "2010-07-12" @default.
- W1972597705 modified "2023-10-16" @default.
- W1972597705 title "Universal self-similarity of propagating populations" @default.
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- W1972597705 doi "https://doi.org/10.1103/physreve.82.011112" @default.
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