3 papers
math.CA2023
Discrepancies and their means
M. M. Skriganov
It is shown that the discrepancy function for point distributions on a torus is expressed by an explicit formula in terms of its mean values on sub-tori. As an application of this…
math.MG2017
Point distributions in compact metric spaces, II
M. M. Skriganov
We consider finite point subsets (distributions) in compact metric spaces. In the case of general rectifiable metric spaces, non-trivial bounds for sums of distances between points…
math.CO2014
Dyadic shift randomization in classical discrepancy theory
M. M. Skriganov
Dyadic shifts of point distributions in the multi-dimensional unit cube are considered as a randomization. Explicit formulas for the discrepancies of such randomized distributions…