**UM Math Graduate Student Seminar**

Yishu Song

* University of Miami *

**will present**

**A Brief Survey on Quasi-stationary Distribution**

Friday, December 4, 2015, 5:00pm

Ungar Building Room 402

**Abstract: **

In this talk, we'll first go over some general properties of quasi-stationary distribution, a probability notion that arises naturally from a variety of natural phenomena. Then, as examples, we'll discuss the quasi-stationary distributions for Birth-Death Process and Feller diffusion and see how the first eigenfunction of a differential equation can explicitly identify the quasi-stationary distribution for the Feller diffusion. This talk is mainly based on the survey paper by Sylvie Meleard and Denis Villemonais.

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