14 papers
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…
Flocking under Fast and Large Jumps: Stability, Chaos, and Traveling Waves
Sayan Banerjee, Amarjit Budhiraja, Dilshad Imon
The paper analyzes a flocking model where particles make fast, large random jumps with rates depending on their distance from the center of mass, establishing fluid limits, propaga…
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…
Level 2.5 large deviations and uncertainty relations for non-Markov self-interacting dynamics
Francesco Coghi, Amarjit Budhiraja, Juan P. Garrahan
We address the general problem of formulating the dynamical large deviations of non-Markovian systems in a closed form. Specifically, we consider a broad class of ``self-interactin…
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…