Events

Event Description

A 0-1 Law for Circle Packings of Coarsely Hyperbolic Metric Spaces

Abstract: On the cusp of the 100 year anniversary, Khinchin's theorem implies a strong 0-1 law for the unit interval: being within distance 1/q^{2+t } of infinitely many rationals p/q is probability 0 for t >0, and probability 1 for t =0. Using props, pictures, and crafts created by my students, I will present an analogous result for circle packings in coarsely hyperbolic metric spaces. This is joint work with Giulio Tiozzo.