Discrepancy of LS-sequences of partitions

2010/05/12 by Ingrid Carbone, Carbone, Ingrid
Mathematics · #11K06 #11K38 #11K45 #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Approximation and Integration #Mathematical functions and polynomials #math.CA #msc:11K06 #msc:11K38 #msc:11K45

paper · pdf · doi:10.48550/arxiv.1005.2029

18 pages - Submitted

arxiv created 2010/05/12 · openalex publication_date 2010/05/12 · arxiv updated 2010/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give a precise estimate of the discrepancy of a class of uniformly distributed sequences of partitions. Among them we found a large class having low discrepancy (which means of order 1/N. One of them is the Kakutani-Fibonacci sequence.

Related

• A generalization of Kakutani's splitting procedure
• Discrepancy of generalized LS-sequences
• A van der Corput-type algorithm for LS-sequences of points
• On the Classification of LS-Sequences
• Partitions and periodic sequences