# Student Probability Seminar

#### Markov Type 2

Speaker: Sean Li

Location: Warren Weaver Hall 202

Date: Friday, December 4, 2009, 3 p.m.

Synopsis:

Given the family of maps from finite subsets of a metric space into Hilbert space, is it possible to extend each of these maps to the entire space so that the Lipschitz constants are bounded by the Lipschitz constant of the initial maps (and possibly some universal constant depending only on the metric space)? We give a sufficient characterization of the metric spaces for which such extensions are always possible and then relate it to the behavior of Markov chains on that space.