LS-sequences of points in the unit square

2012/11/13 by Ingrid Carbone, Carbone, Ingrid, Maria Rita Iacò +3
Computer Science · Mathematics · #11K06 #11K31 #11K38 #11K45 #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Approximation and Integration #Matrix Theory and Algorithms #Number Theory (math.NT) #math.NT #msc:11K06 #msc:11K31 #msc:11K38 #msc:11K45

paper · pdf · doi:10.48550/arxiv.1211.2941

8 pages, 4 figures

arxiv created 2012/11/13 · openalex publication_date 2012/11/13 · arxiv updated 2012/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a countable family of sequences of points in the unit square: the \it LS-sequences of points à la Halton. They reveal a very strange and interesting behaviour, as well as resonance phenomena, for which we have not found an explanation, so far. We conclude with three open problems.

Citations

• A van der Corput-type algorithm for LS-sequences of points
• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals

Related

• LS-successioni di punti nel quadrato
• Discrepancy of generalized LS-sequences
• A van der Corput-type algorithm for LS-sequences of points
• How to construct generalized van der Corput sequences
• A metric result for special subsequences of the Halton sequences