Spectral gaps and measure decompositions

Series
Stochastics Seminar
Time
Thursday, March 5, 2026 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
March Boedihardjo – Michigan State University – boedihar@msu.edu
Organizer
Christian Houdre

I'll introduce a new set of computable and orthogonally invariant quantities for a given probability measure on a Euclidean space. We show how these quantities can determine the extent to which the given probability measure can be decomposed as an equal weight mixture of two probability measures with significantly different second order statistics. Joint work with Joe Kileel and Vandy Tombs.