136 citations · 813 across the 36 of their papers we have counts for
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cond-mat.stat-mech2015
Proliferating Lévy Walkers and Front Propagation
Helena Stage, Sergei Fedotov, Vicenç Méndez
We develop non-linear integro-differential kinetic equations for proliferating Lévy walkers with birth and death processes. A hyperbolic scaling is applied directly to the general…
cond-mat.stat-mech2015★ 27 cited
Single integro-differential wave equation for Lévy walk
Sergei Fedotov
The integro-differential wave equation for the probability density function for a classical one-dimensional Lévy walk with continuous sample paths has been derived. This equation i…
cond-mat.stat-mech2015★ 8 cited
Self-organized anomalous aggregation of particles performing nonlinear and non-Markovian random walk
Sergei Fedotov, Nickolay Korabel
We present a nonlinear and non-Markovian random walk model for stochastic movement and the spatial aggregation of living organisms that have the ability to sense population density…