We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Statistics Seminars: Passage-time moments and hybrid zones for the exclusion-voter particle system model

Presented by Mikhail Menshikov, Department of Mathematical Sciences, University of Durham

13 December 2010 15:15 in CM221

We study the non-equilibrium dynamics of a one-dimensional interacting particle system that is a mixture of the voter model and exclusion process. With the process started from a finite perturbation of the ground-state Heaviside configuration consisting of "1" to the left of the origin and "0" elsewhere, we study the relaxation time $\tau$, that is, the first hitting time of the ground-state configuration (up to translation). We give conditions for $\tau$ to be finite and for certain moments of $\tau$ to be finite or infinite.
Most of our results pertain to the discrete-time setting, but several transfer to continuous-time. As well as the mixture process, some of our results also cover pure exclusion.

Contact for more information