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math.PR2026
Trimmed branching random walk and a free obstacle problem
Rami Atar, Leonid Mytnik, Gershon Wolansky
Consider particles performing random walks on the -grid , with branching and density-dependent selection: When one of the particles branches, a particle is rem…
math.PR2024★ 1 cited
Invariance principle and McKean-Vlasov limit for randomized load balancing in heavy traffic
Rami Atar, Gershon Wolansky
We consider a load balancing model where a Poisson stream of jobs arrive at a system of many servers whose service time distribution possesses a finite second moment. A small fract…