A central limit theorem for the variation of the sum of digits

DOI10.1214/22-AIHP1346MaRDI QIDQ6596231

Élise Janvresse, Yohan Hosten, Thierry de la Rue

Publication date: 2 September 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

central limit theoremsum of digits\(\phi\)-mixing\(b\)-adic odometer

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Radix representation; digital problems (11A63) Relations between ergodic theory and number theory (37A44)

Cites Work

• Some estimates of the normal approximation for \(\varphi \)-mixing random variables
• Substitutions in dynamics, arithmetics and combinatorics
• Basic properties of strong mixing conditions. A survey and some open questions
• A reverse order property of correlation measures of the sum-of-digits function
• Central limit theorem for probability measures defined by sum-of-digits function in base 2
• On the asymptotic behaviour of the correlation measure of sum-of-digits function in base 2
• Title not available (Why is that?)
• Title not available (Why is that?)

This page was built for publication: A central limit theorem for the variation of the sum of digits

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6596231)