131 citations · 888 across the 48 of their papers we have counts for
54 papers
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…
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…
The fate of the American dream: A first passage under resetting approach to income dynamics
Petar Jolakoski, Arnab Pal, Trifce Sandev +3
Detailed knowledge of individual income dynamics is crucial for investigating the existence of the American dream: Are we able to improve our income status during our working life?…
Non-trivial dynamics in a model of glial membrane voltage driven by open potassium pores
Predrag Janjic, Dimitar Solev, Ljupco Kocarev
Despite the molecular evidence that close to linear steady state I-V relationship in mammalian astrocytes reflects a total current resulting from more than one differently regulate…