136 citations · 1.1k across the 60 of their papers we have counts for
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First passage properties of asymmetric Lévy flights
A. Padash, A. V. Chechkin, B. Dybiec +3
Lévy Flights are paradigmatic generalised random walk processes, in which the independent stationary increments---the "jump lengths"---are drawn from an -stable jump length dist…
Peculiarities of escape kinetics in the presence of athermal noises
Karol Capała, Bartłomiej Dybiec, Ewa Gudowska-Nowak
Stochastic evolution of various dynamic systems and reaction networks is commonly described in terms of noise assisted escape of an overdamped particle from a potential well, as de…
Deterministic and randomized motions in single-well potentials
Michal Mandrysz, Bartlomiej Dybiec
Newtonian, undamped motion in single-well potentials belong to a class of well-studied conservative systems. Here, we investigate and compare long-time properties of fully determin…
Stationary states for underdamped anharmonic oscillators driven by Cauchy noise
Karol Capała, Bartłomiej Dybiec
Using methods of stochastic dynamics, we have studied stationary states in the underdamped anharmonic stochastic oscillators driven by Cauchy noise. Shape of stationary states depe…
Multimodal stationary states under Cauchy noise
Michał Cieśla, Karol Capała, Bartłomiej Dybiec
A Lévy noise is an efficient description of out-of-equilibrium systems. The presence of Lévy flights results in a plenitude of noise-induced phenomena. Among others, Lévy flights c…