3 papers
cond-mat.stat-mech2025
Response to an external field of a generalized Langevin equation with stochastic resetting of the memory kernel
Petar Jolakoski, Lasko Basnarkov, Ljupco Kocarev +3
We study a generalized Langevin equation (GLE) framework that incorporates stochastic resetting of a truncation power-law memory kernel. The inclusion of stochastic resetting enabl…
cond-mat.stat-mech2025
Generalized diffusion process with nonlocal interactions: Continuous time random walk model and stochastic resetting
Pece Trajanovski, Irina Petreska, Katarzyna Gorska +2
A space fractional diffusion-like equation is introduced, which embodies the nonlocality in time, represented by the memory kernel and the non-locality in space. A specific example…
cond-mat.stat-mech2024
The impact of stochastic resetting on resource allocation: The case of Reallocating geometric Brownian motion
Petar Jolakoski, Pece Trajanovski, Arnab Pal +3
We study the effects of stochastic resetting on the Reallocating geometric Brownian motion (RGBM), an established model for resource redistribution relevant to systems such as popu…