52 citations · 101 across the 11 of their papers we have counts for
4 papers · 1 filter
Resonant activation in 2D and 3D systems driven by multi-variate Lévy noises
Krzysztof Szczepaniec, Bartlomiej Dybiec
Resonant activation is one of classical effects demonstrating constructive role of noise. In resonant activation cooperative action of barrier modulation process and noise lead to…
Stationary states in 2D systems driven by bi-variate Lévy noises
Krzysztof Szczepaniec, Bartlomiej Dybiec
Systems driven by -stable noises could be very different from their Gaussian counterparts. Stationary states in single-well potentials can be multimodal. Moreover, a potential w…
Escape from bounded domains driven by multi-variate -stable noises
Krzysztof Szczepaniec, Bartlomiej Dybiec
In this paper we provide an analysis of a mean first passage time problem of a random walker subject to a bi-variate -stable Lévy type noise from a 2-dimensional disk. For an ap…
Quantifying resonant activation like phenomenon in non-Markovian systems
Krzysztof Szczepaniec, Barlomiej Dybiec
Resonant activation is an effect of a noise-induced escape over a modulated potential barrier. The modulation of a energy landscape facilitates the escape kinetics and makes it opt…