144 citations · 216 across the 4 of their papers we have counts for
4 papers
Relativistic Lévy processes
Lucas G. B. de Souza, M. G. E. da Luz, E. P. Raposo +2
We study sums of independent and identically distributed random velocities in special relativity. We show that the resulting one-dimensional velocity distributions are not only sta…
Comment on "Inverse Square Lévy Walks are not Optimal Search Strategies for d 2" [Phys. Rev. Lett. 124, 080601 (2020)]
S. V. Buldyrev, E. P. Raposo, F. Bartumeus +4
It is widely accepted that inverse square Lévy walks are optimal search strategies because they maximize the encounter rate with sparse, randomly distributed, replenishable targets…
The origin of power-law distributions in deterministic walks: the influence of landscape geometry
M. C. Santos, D. Boyer, O. Miramontes +4
We investigate the properties of a deterministic walk, whose locomotion rule is always to travel to the nearest site. Initially the sites are randomly distributed in a closed recta…
Average Time Spent by Levy Flights and Walks on an Interval with Absorbing Boundaries
S. V. Buldyrev, S. Havlin, A. Ya. Kazakov +4
We consider a Levy flyer of order alpha that starts from a point x0 on an interval [O,L] with absorbing boundaries. We find a closed-form expression for the average number of fligh…