Rami Atar

collaborators

4 papers

math.PR2026

Mean field limits of large Jackson networks in heavy traffic

Rami Atar

We consider an open Jackson network with $n$ exchangeable single-server stations and weak all-to-all interaction through routing: upon service completion at station $i$ , a job is r…

math.PR2026

High-dimensional limits for reflected Brownian motion in the orthant

Rami Atar

We study interacting Brownian particles on the half-line whose interaction occurs through boundary local times at the origin. The particle system is given by \[ X_i^n(t)=X^n_{0,i}+…

math.PR2026

Trimmed branching random walk and a free obstacle problem

Rami Atar, Leonid Mytnik, Gershon Wolansky

Consider $N$ particles performing random walks on the $I^µ$ -grid $(I^µ Z)^{d}$ , $I^µ > 0$ with branching and density-dependent selection: When one of the particles branches, a particle is…

math.PR2025

Heavy traffic limit with discontinuous coefficients via a non-standard semimartingale decomposition

Rami Atar, Masakiyo Miyazawa

This paper studies a single server queue in heavy traffic, with general inter-arrival and service time distributions, where arrival and service rates vary discontinuously as a func…