Symbolic representation of piecewise linear functions on the unit interval and application to discrepancy

DOI10.1016/0304-3975(94)90069-8zbMath0813.11045OpenAlexW2021778966MaRDI QIDQ1314404

Jean-Pierre Borel

Publication date: 28 September 1994

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(94)90069-8

zbMATH Keywords

automatastar-discrepancyvan der Corput sequencessmall discrepancyselfsimilar sequencessubstitutions on finite alphabets

Mathematics Subject Classification ID

Automata sequences (11B85) Irregularities of distribution, discrepancy (11K38)

Related Items (2)

BETA ENCODERS: SYMBOLIC DYNAMICS AND ELECTRONIC IMPLEMENTATION ⋮ On a sequence of functions related to an iteration process. I, II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isomorphisms of \(\beta\)-automorphisms to Markov automorphisms
• Etude des restes pour les suites de van der Corput generalisees
• Substitution dynamical systems - spectral analysis
• Self-similar measures and sequences
• On intrinsic ergodicity of piecewise monotonic transformations with positive entropy
• On the discrepancy of the sequence formed by the multiples of an irrational number
• Good permutations for extreme discrepancy
• Discrepancy of the sequence \(\Big(\Big\{n{1+\sqrt{5}\over 2}\Big\}\Big)\)
• Minoration de la discrépance à l'origine d'une suite quelconque
• The Maximal Measure for Linear Mod One Transformations
• The structure of piecewise monotonic transformations
• Discrépances de suites associées à un système de numération (en dimension un)
• On a sequence of points of interest for numerical quadrature
• Irregularities of distribution, VII

This page was built for publication: Symbolic representation of piecewise linear functions on the unit interval and application to discrepancy