Bounds for $L_p$-discrepancies of point distributions in compact metric spaces
Metric Geometry
2018-05-01 v2 Combinatorics
Probability
Abstract
Upper bounds for the -discrepancies of point distributions in compact metric measure spaces for have been established in the paper [6] by Brandolini, Chen, Colzani, Gigante and Travaglini. In the present paper we show that such bounds can be established in a much more general situation under very simple conditions on the volume of metric balls as a function of radii.
Keywords
Cite
@article{arxiv.1802.01577,
title = {Bounds for $L_p$-discrepancies of point distributions in compact metric spaces},
author = {M. M. Skriganov},
journal= {arXiv preprint arXiv:1802.01577},
year = {2018}
}