J. Wiart

activity

20192021

collaborators

4 papers

math.NT2021

On the area of empty axis-parallel rectangles amidst 2-dimensional lattice points

Thomas Lachmann, Jaspar Wiart

The dispersion of a point set in the unit square is defined to be the area of the largest empty axis-parallel box. In this paper we are interested in the dispersion of lattices in…

math.ST2020

On the distribution of scrambled $(0, m, s)$ -nets over unanchored boxes

C. Lemieux, J. Wiart

We introduce a new quality measure to assess randomized low-discrepancy point sets of finite size $n$ . This new quality measure, which we call "pairwise sampling dependence index",…

math.NA2020

Walsh functions, scrambled $(0, m, s)$ -nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration

Jaspar Wiart, Elaine Wong

We investigate base $b$ Walsh functions for which the variance of the integral estimator based on a scrambled $(0, m, s)$ -net in base $b$ is less than or equal to that of the Monte-C…

math.PR2019

On the dependence structure and quality of scrambled $(t, m, s) -$ nets

Jaspar Wiart, Christiane Lemieux, Gracia Y. Dong

In this paper we develop a framework to study the dependence structure of scrambled $(t, m, s)$ -nets. It relies on values denoted by $C_{b} (k; P_{n})$ , which are related to how m…

On the area of empty axis-parallel rectangles amidst 2-dimensional lattice points

On the distribution of scrambled (0,m,s)-nets over unanchored boxes

Walsh functions, scrambled (0,m,s)-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration

On the dependence structure and quality of scrambled (t,m,s)−nets

On the distribution of scrambled $(0, m, s)$ -nets over unanchored boxes

Walsh functions, scrambled $(0, m, s)$ -nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration

On the dependence structure and quality of scrambled $(t, m, s) -$ nets