Abstract:
We consider the FA model as idscussed in the recent paper of Blondel, Cancrini, Martinellei, Roberto, and Toninelli. We establish exponential convergence to equilibrium (starting from a nonnull initial configuration) given high parameter values. The result holds for a very wide class of graphs (but not for exponentially growing trees no matter what the regularity). Open problems are discussed.
This is joint work with G. Valle of UFRJ.
Biography:
Thomas Mountford is Professor of mathematics 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