770 citations · 1.1k across the 17 of their papers we have counts for
5 papers · 1 filter
Limit theorems for Lévy walks in dimensions: rare and bulk fluctuations
Itzhak Fouxon, Sergey Denisov, Vasily Zaburdaev +1
We consider super-diffusive Lévy walks in dimensions when the duration of a single step, i.e., a ballistic motion performed by a walker, is governed by a power-law…
Superdiffusive dispersals impart the geometry of underlying random walks
V. Zaburdaev, I. Fouxon, S. Denisov +1
It is recognised now that a variety of real-life phenomena ranging from diffuson of cold atoms to motion of humans exhibit dispersal faster than normal diffusion. Lévy walks is a m…
Asymptotic densities of ballistic Lévy walks
D. Froemberg, M. Schmiedeberg, E. Barkai +1
We propose an analytical method to determine the shape of density profiles in the asymptotic long time limit for a broad class of coupled continuous time random walks which operate…
Lévy walks
V. Zaburdaev, S. Denisov, J. Klafter
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…
Fractional diffusion equation for aging and equilibrated random walks
V. Yu. Zaburdaev, I. M. Sokolov
We consider continuous time random walks (CTRW) and discuss situations pertinent to aging. These correspond to the case when the initial state of the system is known not at prepara…