32 citations · 297 across the 46 of their papers we have counts for
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math.PR2014
On Scaling Limits of Power Law Shot-noise Fields
François Baccelli, Anup Biswas
This article studies the scaling limit of a class of shot-noise fields defined on an independently marked stationary Poisson point process and with a power law response function. U…
math.PR2014★ 24 cited
Ergodic control of multi-class queues in the Halfin-Whitt regime
Ari Arapostathis, Anup Biswas, Guodong Pang
We study a dynamic scheduling problem for a multi-class queueing network with a large pool of statistically identical servers. The arrival processes are Poisson, and service times…
math.PR2014★ 2 cited
On a Class of Stochastic Differential Equations With Jumps and Its Properties
Ari Arapostathis, Anup Biswas, Luis Caffarelli
We study stochastic differential equations with jumps with no diffusion part. We provide some basic stochastic characterizations of solutions of the corresponding non-local partial…