2 papers
math.PR2026
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…
math.PR2024
Flocking under Fast and Large Jumps: Stability, Chaos, and Traveling Waves
Sayan Banerjee, Amarjit Budhiraja, Dilshad Imon
We study a model for flocking given by a -particle system under which each particle jumps forward by a random amount, independently sampled from a given distribution , with r…