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math.PR2026
Large-scale distributed synchronization systems, using a cancel-on-completion redundancy mechanism
Alexander Stolyar
We consider a class of multi-agent distributed synchronization systems, which are modeled as particles moving on the real line. This class generalizes the model of a multi-serv…
math.PR2024
A large-scale particle system with independent jumps and distributed synchronization
Yuliy Baryshnikov, Alexander Stolyar
We study a system consisting of particles, moving forward in jumps on the real line. Each particle can make both independent jumps, whose sizes have some distribution, or ``syn…