Criterion for Substitutivity of Sturmian Palindromes and One-Dimensional Factor Dynamics

I. A. Reshetnikov, A. Ya Kanel-Belov

Research output: Contribution to journalArticlepeer-review

Abstract

Abstract: The paper provides a criterion for substitutivity of symmetric Sturmian words infinite on both sides and its proof, and a theorem on the substitutivity of factor dynamics of circle rotations.

Original languageEnglish
Pages (from-to)216-219
Number of pages4
JournalMoscow University Mathematics Bulletin
Volume75
Issue number5
DOIs
StatePublished - Sep 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020, Pleiades Publishing, Inc.

Funding

The work is supported by the Russian Science Foundation (project no. 17-11-01377).

FundersFunder number
Russian Science Foundation17-11-01377

    Keywords

    • Rausy induction
    • Sturmian words
    • circle rotation
    • dynamical systems
    • factor dynamics
    • mechanical words
    • substitutive words
    • symbolic dynamics

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