Professor Amarjit Budhiraja (University of North Carolina at Chapel Hill) will give a 5 hour lecture series 11-13 March 2025.

Title: Long time behavior of the infinite Atlas model: local stability, ergodicity, and equilibrium fluctuations

Abstract:

The infinite Atlas model describes a countable system of competing Brownian particles where the lowest particle gets a unit upward drift and the rest evolve as standard Brownian motions. In this mini-course I will give an overview of recent developments in the study of long-time behavior of this infinite dimensional Markov process. Topics that I plan to cover include, ergodic invariant measures of the infinite Atlas model, domain of attraction properties, and a class of stochastic partial differential equations describing equilibrium fluctuations. This is based on joint work with Sayan Banerjee and Peter Rudzis.

This lecture series supported by the ESPRC grant EP/V009478/1.