Abstract:
This is joint work with Wang Zhe. We consider the Baccelli, Foss and Scheer model where we have N queues which are ./M/infinity and outputs are re-imputed to one of the N queues chosen at random. The customers can be in one of two states - healthy or unhealthy - and evolve within a queue according to the contact process. We show that in the "supercritical" regime if we start with a density of infected sites, then we converge in distribution to the "upper invariant" distribution.
Biography:
Thomas Mountford is Professor at École Polytechnique Fédérale de Lausanne. He previously worked at UCLA. His research interests include interacting particle systems (especially the contact process and its variants) and Gaussian processes, in particular Brownian motion.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.