Coupling and the Kac’s random walk

Series
Probability Working Seminar
Time
Friday, March 27, 2009 - 4:00pm for 1 hour (actually 50 minutes)
Location
Skiles 268
Speaker
Ricardo Restrepo – School of Mathematics, Georgia Tech
Organizer
Yuri Bakhtin
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).