- Series
- Probability Working Seminar
- Time
- Friday, October 2, 2009 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 154
- Speaker
- Stas Minsker – School of Mathematics, Georgia Tech
- Organizer
- Yuri Bakhtin
The talk is based on the paper by B. Klartag. It will be shown that there exists a sequence \eps_n\to 0 for which the
following holds: let K be a compact convex subset in R^n with nonempty
interior and X a random vector uniformly distributed in K. Then there
exists a unit vector v, a real number \theta and \sigma^2>0 such that
d_TV(, Z)\leq \eps_n
where Z has Normal(\theta,\sigma^2) distribution and d_TV - the total
variation distance. Under some additional assumptions on X, the
statement is true for most vectors v \in R^n.