Speaker

　　Title

　　Time

　　Venue

N613

　　Abstract

The contact process is a classical interacting particle system which models the spread of a disease inside a network. For bounded degree graphs, there always exists a positive critical infection rate below which the infection vanishes almost-surely. On the other hand, if the graph has unbounded degree, it may happen that the infection survives for any infection rate. In this talk, I will define a percolation model on the vertices of the graph called "cumulatively merged partition". I will try to explain how the existence of an infinite cluster relates to the existence of a sub-critical infection phase for the contact process. Joint work with L. Ménard.  

　　Affiliation