An improved lower bound for the $L_2$-discrepancy

TL;DR

This paper presents a new, tighter lower bound for the $L_2$-discrepancy measure of finite point sets in the unit square, advancing understanding of distribution uniformity.

Contribution

It introduces an improved theoretical lower bound for the $L_2$-discrepancy, refining previous estimates and contributing to discrepancy theory.

Findings

New lower bound established for $L_2$-discrepancy

Enhanced understanding of point set uniformity

Refinement over previous bounds

Abstract

We give an improved lower bound for the $L_2$-discrepancy of finite point sets in the unit square.