Nathan Kirk

activity

20142022

collaborators

4 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.CO2022

Partitions for stratified sampling

Francois Clement, Nathan Kirk, Florian Pausinger

Classical jittered sampling partitions $[0, 1]^{d}$ into $m^{d}$ cubes for a positive integer $m$ and randomly places a point inside each of them, providing a point set of size $N = m^{d}$ …

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…

cs.CE2014

A computational study of the effects of remodelled electrophysiology and mechanics on initiation of ventricular fibrillation in human heart failure

Nathan Kirk, Alan Benson, Christopher Goodyer +1

The study of pathological cardiac conditions such as arrhythmias, a major cause of mortality in heart failure, is becoming increasingly informed by computational simulation, numeri…