Probability Seminar

Date: August 31, 2018

Time: 11:00AM - 12:00PM

Location: BLOC 628

Speaker: Alexander Roitershtein, TAMU (Statistics)

Title: A random walk with catastrophes

Abstract: I will discuss a discrete-time ergodic model for random population dynamics with linear growth and binomial catastrophes. In a catastrophe a large portion of the population can be eliminated with a significant probability. Through a coupling construction, we obtain sharp two-sided bounds for the rate of convergence to stationarity which are applied to show that the model exhibits a cutoff phenomenon. This is a joint work with Iddo Ben-Ari and Rinaldo B. Schinazi.