The contact process on random trees and graphs

The contact process on random trees and graphs

###### Probability Seminar

#### Danny Nam (Princeton)

**Thursday, September 12, 2019 -**

3:15pm to 4:15pm

Location:

119 Physics

The contact process describes an elementary epidemic model, where each infected site gets healed at rate 1 while it passes its disease to each of its neighbors independently at rate \lambda. In this talk, we show that the phase diagram of the contact process on a Galton-Watson tree depends on the tail of the offspring distribution in the following sense: the extinction-survival threshold is strictly positive if and only if the tail has an exponential decay. In such cases, we further achieve the first-order asymptotics for the location of the threshold. We will also discuss analogous results for Erdos–Renyi and other random graphs. Joint work with Shankar Bhamidi, Oanh Nguyen and Allan Sly.

Last updated: 2019/09/19 - 10:21pm