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

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

doi:https://doi.org/10.3103/s002713222005006x

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

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	216-219
Number of pages	4
Journal	Moscow University Mathematics Bulletin
Volume	75
Issue number	5
DOIs	https://doi.org/10.3103/s002713222005006x
State	Published - Sep 2020
Externally published	Yes

Keywords

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

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.3103/s002713222005006x

Cite this

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title = "Criterion for Substitutivity of Sturmian Palindromes and One-Dimensional Factor Dynamics",

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.",

keywords = "Rausy induction, Sturmian words, circle rotation, dynamical systems, factor dynamics, mechanical words, substitutive words, symbolic dynamics",

author = "Reshetnikov, {I. A.} and Kanel-Belov, {A. Ya}",

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year = "2020",

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doi = "https://doi.org/10.3103/s002713222005006x",

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pages = "216--219",

journal = "Moscow University Mathematics Bulletin",

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T1 - Criterion for Substitutivity of Sturmian Palindromes and One-Dimensional Factor Dynamics

AU - Reshetnikov, I. A.

AU - Kanel-Belov, A. Ya

PY - 2020/9

Y1 - 2020/9

N2 - 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.

AB - 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.

KW - Rausy induction

KW - Sturmian words

KW - circle rotation

KW - dynamical systems

KW - factor dynamics

KW - mechanical words

KW - substitutive words

KW - symbolic dynamics

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U2 - https://doi.org/10.3103/s002713222005006x

DO - https://doi.org/10.3103/s002713222005006x

M3 - مقالة

SN - 0027-1322

VL - 75

SP - 216

EP - 219

JO - Moscow University Mathematics Bulletin

JF - Moscow University Mathematics Bulletin

IS - 5

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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