Coupling and the Kac’s random walk

Probability Working Seminar
Friday, March 27, 2009 - 4:00pm
1 hour (actually 50 minutes)
Skiles 268
School of Mathematics, Georgia Tech
This talk is based in the article titled "On the convergence to equilibrium of Kac’s random walk on matrices" by Roberto Oliveira (IMPA, Brazil). We show how a strategy related to the path coupling method allows us to establish tight bounds for the L-2 transportation-cost mixing time of the Kac's random walk on SO(n).