Colloquium Mathematics - Prof. T. Mountford

Title:

Exponential convergence of the Frederick-Andersen model

Abstract:

We consider the Fredrickson-Andersen spin model (which is a type of kinetic gas model) under which values can change at rate one (to be replaced by a q Bernoulli value) provided at least one neighboring site is occupied. We show that for parameter value q very close to one the process converges exponentially fast to the q Bernoulli product measure equilibrium.  We use comparisons with the contact process and elementary large deviations properties for this latter process .

Colloquium coordinators are Prof.dr. A.J. van der Schaft (a.j.van.der.schaft rug.nl),

Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl)