136 citations · 1.1k across the 60 of their papers we have counts for
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Harmonic oscillator under Levy noise: Unexpected properties in the phase space
Igor M. Sokolov, Bartlomiej Dybiec, Werner Ebelling
A harmonic oscillator under influence of the noise is a basic model of various physical phenomena. Under Gaussian white noise the position and velocity of the oscillator are indepe…
Escape from the potential well: competition between long jumps and long waiting times
Bartlomiej Dybiec
Within a concept of the fractional diffusion equation and subordination, the paper examines the influence of a competition between long waiting times and long jumps on the escape f…
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…
Subordinated diffusion and CTRW asymptotics
Bartlomiej Dybiec, Ewa Gudowska-Nowak
Anomalous transport is usually described either by models of continuous time random walks (CTRW) or, otherwise by fractional Fokker-Planck equations (FFPE). The asymptotic relation…
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…