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Article overview
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L'evy walks | | V. Zaburdaev
; S. Denisov
; J. Klafter
; | | Date: |
19 Oct 2014 | | Abstract: | Random walk is a fundamental concept with applications ranging from quantum
physics to econometrics. Remarkably, one specific model of random walks appears
to be ubiquitous across many research fields as a tool to analyze non-Brownian
dynamics exhibited by different systems. The L’evy walk model combines two key
features: a finite velocity of a random walker and the ability to generate
anomalously fast diffusion. Recent results in optics, Hamiltonian many-particle
chaos, cold atom dynamics, bio-physics, and behavioral science, demonstrate
that this particular type of random walks provides significant insight into
complex transport phenomena. This review provides a self-consistent
introduction into the theory of L’evy walks, surveys its existing
applications, including latest advances, and outlines its further perspectives. | | Source: | arXiv, 1410.5100 | | Services: | Forum | Review | PDF | Favorites | |
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