Event Type:

Probability Seminar

Date/Time:

Tuesday, April 5, 2016 - 15:30 to 16:30

Location:

GILK 115

Guest Speaker:

Institution:

University of Washington

Abstract:

Dirichlet's theorem on diophantine approximation states that for any irrational number a, there are infinitely many rationals p/q so that q|aq-p| < 1. Erdos-Szusz-Turan asked the question of the probability that this estimate could be improved to q|aq-p|< A, with q in a fixed range [N, cN], and the behavior of this probability as N grows. We answer their question and provide a wide-ranging generalization to the setti ng of equivariant point processes. This is joint work with Anish Ghosh.

Host: