Probability Seminar——Critical values for Renewal contact processes

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).

 

This is joint work with E. Vares of UFRJ and R. Fontes of USP.