Nathan Kirk

collaborators

2 papers

math.PR2022

On the expected L2-discrepancy of jittered sampling

Nathan Kirk, Florian Pausinger

For $m, d \in N$ , a jittered sample of $N = m^{d}$ points can be constructed by partitioning $[0, 1]^{d}$ into $m^{d}$ axis-aligned equivolume boxes and placing one point independe…

math.NT2020

On Proinov's lower bound for the diaphony

Nathan Kirk

In 1986, Proinov published an explicit lower bound for the diaphony of both finite and infinite sequences of points in the d-dimensional unit cube. To the best of our knowledge, th…