232 citations · 701 across the 83 of their papers we have counts for
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Weakly interacting particle systems on inhomogeneous random graphs
Shankar Bhamidi, Amarjit Budhiraja, Ruoyu Wu
We consider weakly interacting diffusions on time varying random graphs. The system consists of a large number of nodes in which the state of each node is governed by a diffusion p…
Large Deviations for Brownian Particle Systems with Killing
Amarjit Budhiraja, Wai-Tong Louis Fan, Ruoyu Wu
Particle approximations for certain nonlinear and nonlocal reaction-diffusion equations are studied using a system of Brownian motions with killing. The system is described by a co…
Rate Control under Heavy Traffic with Strategic Servers
Erhan Bayraktar, Amarjit Budhiraja, Asaf Cohen
We consider a large queueing system that consists of many strategic servers that are weakly interacting. Each server processes jobs from its unique critically loaded buffer and con…
Uniform in Time Interacting Particle Approximations for Nonlinear Equations of Patlak-Keller-Segel type
Amarjit Budhiraja, Wai-Tong Louis Fan
We study a system of interacting diffusions that models chemotaxis of biological cells or microorganisms (referred to as particles) in a chemical field that is dynamically modified…
Diffusion Approximations for Controlled Weakly Interacting Large Finite State Systems with Simultaneous Jumps
Amarjit Budhiraja, Eric Friedlander
We consider a rate control problem for an -particle weakly interacting finite state Markov process. The process models the state evolution of a large collection of particles and…