63 citations · 113 across the 31 of their papers we have counts for
4 papers · 1 filter
Join-the-Shortest Queue Diffusion Limit in Halfin-Whitt Regime: Sensitivity on the Heavy-traffic Parameter
Sayan Banerjee, Debankur Mukherjee
Consider a system of parallel single-server queues with unit-exponential service time distribution and a single dispatcher where tasks arrive as a Poisson process of rate $λ(N)…
Fluctuation Bounds for Continuous Time Branching Processes and Evolution of Growing Trees With a Change Point
Sayan Banerjee, Shankar Bhamidi, Iain Carmichael
We consider dynamic random trees constructed using an attachment function where, at each step of the evolution, a new vertex attaches to an existi…
Large Deviations from the Hydrodynamic Limit for a System with Nearest Neighbor Interactions
Sayan Banerjee, Amarjit Budhiraja, Michael Perlmutter
We give a new proof of the large deviation principle from the hydrodynamic limit for the Ginzberg-Landau model studied in Donsker and Varadhan (1989) using techniques from the theo…
Join-the-Shortest Queue Diffusion Limit in Halfin-Whitt Regime: Tail Asymptotics and Scaling of Extrema
Sayan Banerjee, Debankur Mukherjee
Consider a system of parallel single-server queues with unit-exponential service time distribution and a single dispatcher where tasks arrive as a Poisson process of rate $λ(N)…