33 citations · 70 across the 18 of their papers we have counts for
10 papers · 1 filter
Macroscopic localization and collective memory in Poisson renewal resetting
Ohad Vilk
Stochastic renewal processes are ubiquitous across physics, biology, and the social sciences. Here, we show that continuous-time renewal dynamics can naturally produce a mixed disc…
Collective behavior of independent scaled Brownian particles with renewal resetting
Ohad Vilk, Baruch Meerson
We study fluctuations of an ensemble of independent particles undergoing anomalous diffusion with random renewal resetting. The anomalous diffusion is modeled by the scaled Bro…
Age-structured hydrodynamics of ensembles of anomalously diffusing particles with renewal resetting
Baruch Meerson, Ohad Vilk
We develop an age-structured hydrodynamic (HD) theory which describes the collective behavior of anomalously diffusing particles under stochastic renewal resetting. The th…
Efficient weighted-ensemble network simulations of the SIS model of epidemics
Elad Korngut, Ohad Vilk, Michael Assaf
The presence of erratic or unstable paths in standard kinetic Monte Carlo simulations significantly undermines the accurate simulation and sampling of transition pathways. While ty…
Escape from a metastable state in non-Markovian population dynamics
Ohad Vilk, Michael Assaf
We study the long-time dynamics in non-Markovian single-population stochastic models, where one or more reactions are modelled as a stochastic process with a fat-tailed non-exponen…
Non-Markovian gene expression
Ohad Vilk, Ralf Metzler, Michael Assaf
We study two non-Markovian gene-expression models in which protein production is a stochastic process with a fat-tailed non-exponential waiting time distribution (WTD). For both mo…
Competition in a system of Brownian particles: Encouraging achievers
P. L. Krapivsky, Ohad Vilk, Baruch Meerson
We introduce and study analytically and numerically a simple model of inter-agent competition, where underachievement is strongly discouraged. We consider particles perfor…
Fluctuations and first-passage properties of systems of Brownian particles with reset
Ohad Vilk, Michael Assaf, Baruch Meerson
We study stationary fluctuations in two models involving Brownian particles undergoing stochastic resetting to the origin in 1d. We start with the basic reset model where the p…
Classification of anomalous diffusion in animal movement data using power spectral analysis
Ohad Vilk, Erez Aghion, Ran Nathan +3
The field of movement ecology has seen a rapid increase in high-resolution data in recent years, leading to the development of numerous statistical and numerical methods to analyse…
Phase transition in non-Markovian animal exploration model with preferential returns
Ohad Vilk, Daniel Campos, Vicenç Méndez +3
We study a non-Markovian and nonstationary model of animal mobility incorporating both exploration and memory in the form of preferential returns. We derive exact results for the p…