A. Budhiraja

activity

20052026

most citedLarge deviations for infinite dimensional stochastic dynamical systems

232 citations · 701 across the 83 of their papers we have counts for

collaborators

Showing 2023 · math.PRShow all

3 papers · 2 filters

math.PR2023

Fluctuations of the Atlas model from inhomogeneous stationary profiles

Sayan Banerjee, Amarjit Budhiraja, Peter Rudzis

The infinite Atlas model describes the evolution of a countable collection of Brownian particles on the real line, where the lowest particle is given a drift of $γ \in [0, \infty)$ .…

math.PR2023

Large Deviations for Empirical Measures of Self-Interacting Markov Chains

Amarjit Budhiraja, Adam Waterbury, Pavlos Zoubouloglou

Let $Δ^{o}$ be a finite set and, for each probability measure $m$ on $Δ^{o}$ , let $G (m)$ be a transition probability kernel on $Δ^{o}$ . Fix $x_{0} \in Δ^{o}$ and consider the chain $\{X_n, \…

math.PR2023

Load Balancing in Parallel Queues and Rank-based Diffusions

Sayan Banerjee, Amarjit Budhiraja, Benjamin Estevez

Consider a system with $K$ parallel queues in which the server for each queue processes jobs at rate $n$ and the total arrival rate to the system is $n K - υ n$ where $\…