14 citations · 95 across the 24 of their papers we have counts for
19 papers · 1 filter
Hitting the blinking target under stochastic resetting
Bartosz Zbik, Bartłomiej Dybiec, Karol Capała +2
The first hitting times of a stochastic process, i.e., the first time a process reaches a particular level, are of significant interest across various scientific disciplines, inclu…
Reset Induced Multimodality in Unbounded Potential
Karol Capała
Resetting, as a protocol that restarts the evolution of a system, can significantly influence stochastic dynamics. One notable effect is the emergence of stationary states in unbou…
A Stochastic Model of Translocation of Knotted Proteins
Karol Capała, Piotr Szymczak
Knotted proteins, when forced through the pores, can get stuck if the knots in their backbone tighten under force. Alternatively, the knot can slide off the chain, making transloca…
Optimization of escape kinetics by reflecting and resetting
Karol Capała, Bartłomiej Dybiec
Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in the decrease of the mean first passage time, due to the abili…
Drifted escape from the finite interval
Karol Capała, Bartłomiej Dybiec
Properties of the noise-driven escape kinetics are mainly determined by the stochastic component of the system dynamics. Nevertheless, the escape dynamics is also sensitive to dete…
Interplay of noise induced stability and stochastic resetting
Karol Capała, Bartłomiej Dybiec, Ewa Gudowska-Nowak
Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of con…