84 citations · 193 across the 5 of their papers we have counts for
4 papers · 1 filter
Diffusion with stochastic resetting is invariant to return speed
Arnab Pal, Łukasz Kuśmierz, Shlomi Reuveni
The canonical Evans--Majumdar model for diffusion with stochastic resetting to the origin assumes that resetting takes zero time: upon resetting the diffusing particle is teleporte…
Robust random search with scale-free stochastic resetting
Łukasz Kuśmierz, Taro Toyoizumi
A new model of search based on stochastic resetting is introduced, wherein rate of resets depends explicitly on time elapsed since the beginning of the process. It is shown that ra…
On subdiffusive continuous time random walks with stochastic resetting
Łukasz Kuśmierz, Ewa Gudowska-Nowak
We analyze two models of subdiffusion with stochastic resetting. Each of them consists of two parts: subdiffusion based on the continuous-time random walk (CTRW) scheme and indepen…
Emergence of Lévy walks from second order stochastic optimization
Łukasz Kuśmierz, Taro Toyoizumi
In natural foraging, many organisms seem to perform two different types of motile search: directed search (taxis) and random search. The former is observed when the environment pro…