461 citations · 5.5k across the 112 of their papers we have counts for
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Lévy Ratchet in a Weak Noise Limit: Theory and Simulation
Ilya Pavlyukevich, Bartlomiej Dybiec, Aleksei V. Chechkin +1
We study the motion of a particle embedded in a time independent periodic potential with broken mirror symmetry and subjected to a Lévy noise possessing Lévy stable probability law…
Stationary states in single-well potentials under symmetric Levy noises
Bartlomiej Dybiec, Igor M. Sokolov, Aleksei V. Chechkin
We discuss the existence of stationary states for subharmonic potentials , , under action of symmetric -stable noises. We show analytically that the nec…
Kramers escape driven by fractional Brownian motion
Oleksii Yu. Sliusarenko, Vsevolod Yu. Gonchar, Aleksei V. Chechkin +2
We investigate the Kramers escape from a potential well of a test particle driven by fractional Gaussian noise with Hurst exponent 0<H<1. From a numerical analysis we demonstrate t…