Estimates of the Discrepancy Function in Exponential Orlicz Spaces
- Series
- Analysis Seminar
- Time
- Wednesday, March 13, 2013 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Gagik Amirkhanyan – Georgia Tech
For dimensions n greater than or equal to 3, and integers N greater than 1, there is a
distribution of points P in a unit cube [0,1]^{n}, of cardinality N, for which the discrepancy function D_N associated with P has an optimal Exponential Orlicz norm. In particular the same distribution will have optimal L^p norms, for 1 < p < \infty. The collection P is a random digit shift of the examples of W.L. Chen and M. Skriganov.