Seminars: Yu. A. Davydov, Random symmetrizations of convex bodies

SEMINARS


Principle Seminar of the Department of Probability Theory, Moscow State University October 23, 2013 16:45, Moscow, MSU, auditorium 16-10

Random symmetrizations of convex bodies Yu. A. Davydov^ab ^a University of Sciences and Technologies, Lille ^b Saint Petersburg State University
http://www.youtube.com/watch?v=B9r5FbOyRxQ Abstract: It is known that repeated independent application of random Steiner (or Minkowski) symmetrizations with probability 1 "rounds up" an initial convex body. In the talk it will be presented some results on estimates of rate of convergence to a limit ball. In case of Minkowski symmetrizations this estimate is optimal in order.