Probability Seminar

Date: November 16, 2018

Time: 1:30PM - 2:30PM

Location: BLOC 220

Speaker: Eliza O'Reilly, UT Austin

Title: Couplings of determinantal point processes and their reduced Palm distributions and quantifying repulsiveness

Abstract: Determinantal point processes (DPPs) are a useful class of random point configurations exhibiting repulsion between points. We will describe their appealing properties and discuss a recent result on obtaining the reduced Palm distribution of a DPP by removing at most one point from the DPP. This result will be used to discuss the nature of repulsiveness of DPPs in terms of this removed point, and specific parametric models for DPPs will be compared. Additionally, we will discuss repulsion of DPPs in high dimensions and an application to high dimensional determinantal Boolean models. This talk is based on joint works with Jesper Møller and François Baccelli.