Abstract:
A renewal contact process is a (non Markov) process similar to the classical contact process but where the rate one Poisson processes governing "recovery" are replaced by renewal processes (transmissions are still modelled by rate lambda Poisson processes). We show that the critical values are zero if the renewal distribution has very heavy tails but is strictly positive if a moment higher than one exists (under some strict regularity condition).
Biography:
Thomas Mountford is Professor at École Polytechnique Fédérale de Lausanne. He previously worked at UCLA. His 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