Rami Atar

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20242026

most citedInvariance principle and McKean-Vlasov limit for randomized load balancing in heavy traffic

1 citations · 1 across the 6 of their papers we have counts for

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Showing 2026 · math.PRShow all

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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 $ε$ -grid $(εZ)^{d}$ , $ε > 0$ with branching and density-dependent selection: When one of the particles branches, a particle is rem…