Lecture series by Amarjit Budhiraja
Professor Amarjit Budhiraja (University of North Carolina at Chapel Hill) will give a 5 hour lecture series 11-13 March 2025.
Schedule:
Tuesday 11 March
14:00-16:00 - MS.04/B2.04/5
Wednesday 12 March
11:00-13:00 - MS.01
Thursday 13 March
9:00-10:00 - MS.03
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 is supported by the ESPRC grants EP/V009478/1 and EP/W006227/1. Lecture notes are available upon request, please email a.mjatovic@warwick.ac.uk if you would like to copy.