28 citations · 30 across the 3 of their papers we have counts for
3 papers
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…
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…
Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
Pece Trajanovski, Petar Jolakoski, Kiril Zelenkovski +3
The Ornstein-Uhlenbeck process is interpreted as Brownian motion in a harmonic potential. This Gaussian Markov process has a bounded variance and admits a stationary probability di…