Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
September 10, 2025Transactions of the American Mathematical Society Series BOpen Access

Limiting behavior of Rudin–Shapiro sequence autocorrelations

View Full Paper
Ask AI
Bookmark
Share

Authors

SCStephen Kwok-Kwong ChoiSimon Fraser UniversityDTDaniel TarnuSimon Fraser University

Discussion

Loading...

Member takes

Overview

Analysis of aperiodic autocorrelations in the Rudin–Shapiro sequence, suggesting new bounds and properties.

Key Points

  • The maximum value of autocorrelation occurs uniquely, supporting conjectures about behavior.
  • Asymptotic upper and lower bounds for autocorrelation show they are of the same order as x squared.
  • The study of the Rudin–Shapiro sequence reveals new insights into binary expansion-related properties.
  • Findings extend previous results on autocorrelation, introducing continuous analogues in the analysis.

Cite This Study

Choi et al. (2025) studied this question.

synapsesocial.com/papers/68c1d98554b1d3bfb60fb5bbhttps://doi.org/10.1090/btran/237
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1An extended Vinogradov’s mean value theorem2025
  2. 2A universal bound in the dimensional Brunn-Minkowski inequality for log-concave measures2024
  3. 3Donoghue 𝑚-functions for Singular Sturm–Liouville operators2024 · 6 citations
  4. 4BMO-type functionals, total variation, and Γ-convergence2024
  5. 5Complex moments of class numbers with fundamental unit restrictions2025