## Olivetti Club

Lila GrecoCornell University
Branching processes
Tuesday, October 17, 2017 - 4:30pm
Malott 406

The Galton-Watson process was introduced in the late 1800s to study the extinction of aristocratic surnames. In this model the size of the population at time $n$ is recorded by the random variable $X_n$, and individuals reproduce independently according to a fixed offspring distribution. We will analyze the extinction behavior of this simple model using generating functions. We will also discuss results about generalizations of the Galton-Watson process (such as introducing multiple types of individuals or environments) as well as some recent conjectures.

Refreshments will be served in the lounge at 4:00 PM.