title: Superdiffusive Dispersals Impart the Geometry of Underlying Random Walks.
abstract: It is recognized now that a variety of real-life phenomena ranging from diffusion of cold atoms to the motion of humans exhibit dispersal faster than normal diffusion. Lévy walks is a model that excelled in describing such superdiffusive behaviors albeit in one dimension. Here we show that, in contrast to standard random walks, the microscopic geometry of planar superdiffusive Lévy walks is imprinted in the asymptotic distribution of the walkers. The geometry of the underlying walk can be inferred from trajectories of the walkers by calculating the analogue of the Pearson coefficient.
authors.affiliation: Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, D-01187 Dresden, Germany.|Institute of Supercomputing Technologies, Lobachevsky State University of Nizhny Novgorod, 603140 Nizhny Novgorod, Russia.
authors.forename: V
authors.initials: V
authors.lastname: Zaburdaev
authors.affiliation: Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel.
authors.forename: I
authors.initials: I
authors.lastname: Fouxon
authors.affiliation: Department of Applied Mathematics, Lobachevsky State University of Nizhny Novgorod, 603140 Nizhny Novgorod, Russia.|Sumy State University, Rimsky-Korsakov Street 2, 40007 Sumy, Ukraine.|Institute of Physics, University of Augsburg, Universitätsstrasse 1, D-86135 Augsburg, Germany.
authors.forename: S
authors.initials: S
authors.lastname: Denisov
authors.affiliation: Department of Physics, Institute of Nanotechnology and Advanced Materials, Bar-Ilan University, Ramat-Gan 52900, Israel.
authors.forename: E
authors.initials: E
authors.lastname: Barkai