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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 sunil.chhita@durham.ac.uk for more information