232 citations · 701 across the 83 of their papers we have counts for
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Long-Time Large Deviation Asymptotics for Mean-Field Granular Media Equations
Amarjit Budhiraja, Jack Sullivan
We study long-time mean-field large deviations for granular-media diffusions. Under a dissipativity assumption, for arbitrary , the occupation measure of the -part…
Large deviations for long-time occupation measures of stochastic evolution equations with small, asymptotically rough noise
Amarjit Budhiraja, Sandra Cerrai
We study the long-time, small-noise behavior of a class of dissipative stochastic evolution equations in a separable Hilbert space, driven by a cylindrical Wiener process whose cov…
Bi-infinite systems of singularly interacting Brownian particles and the KPZ equation
Sayan Banerjee, Amarjit Budhiraja, Peter Rudzis
We study a bi-infinite system of interacting Brownian particles on the real line with singular asymmetric interactions mediated by the collision local times. Particles perform Brow…
Rank Based Routing in Large Server Systems under Extreme Congestion
Sayan Banerjee, Amarjit Budhiraja, Eva Loeser
We study parallel queues in an extreme heavy-traffic regime: each server works at rate , while jobs arrive to a dispatcher at rate , with fixed . A…
Long Time Asymptotics for the Stochastic Follow-the-Leader System
Sayan Banerjee, Amarjit Budhiraja, Dilshad Imon
We introduce and analyze a class of interacting particle systems on the real line that combine features of the stochastic rat race and (deterministic) follow-the-leader models. The…
Jump Processes with Self-Interactions: Large Deviation Asymptotics
Amarjit Budhiraja, Francesco Coghi
We consider a pure jump process with values in a finite state space for which the jump rates at time instant depend on the occupation m…