Cornell University Probability Seminar

Spring 2011

Mondays in 406 Malott Hall at 4:00 PM, unless otherwise noted.

April 18

Christian Gromoll, University of Virginia
Least-attained-service and adventures with the $M_1$ topology

I'll describe a recent result on fluid limits for Least-Attained-Service queues. Interestingly, this policy does not have a fluid limit when the standard Skorohod $J_1$ topology is used on path space. The limit requires using the weaker, and more uncommon, $M_1$ topology. I'll describe some of the steps required to work with this topology on the space of cadlag measure-valued paths.