Friday, October 17, 2014 (12:45-1:45 p.m. in Yost 335)

Title: On the equivalence of modes of convergence for log-concave distributions

Speaker: Elizabeth Meckes (Case Western Reserve University MAMS Department)

Abstract: There are many ways of quantifying convergence of probability distributions.  I will begin the talk with a survey of notions of distance between probability measures and the relationships among them.  I will then specialize to the case of log-concave distributions.  We will see that many notions of distance which define different topologies in general are equivalent under the assumption of log-concavity.  This is joint work with Mark Meckes.