Gæsteforedrag: Eliza O’Reilly, University of Texas at Austin


23.05.2017 kl. 12.30 - 13.30


Title: Reach of Repulsion for Determinantal Point Processes in High Dimensions

Abstract: Determinantal point processes offer useful point patterns that exhibit repulsion between points, resulting in more regularly spaced point patterns than Poisson point processes. In this research we examine stationary and isotropic determinantal point processes as space dimension tends to infinity. At distances growing with the square root of the dimension, we quantify the repulsive effect of a typical point of the point process. Under certain conditions, we can show a finite reach at this scaling where the repulsive effect concentrates as dimension goes to infinity. Using these results, examples of large classes of specific DPP models exhibiting this behavior are given. This is joint work with François Baccelli.


Institut for Matematiske Fag


Fredrik Bajers Vej 7G, rum G5-112