This article is cited in 2 papers

Short notes

Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics

I. A. Reshetnikov^a, A. Ya. Kanel-Belov<sup>ba

a</sup> Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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

Key words: Sturm's words, substitutive words, mechanical words, dynamical systems, circle rotation, Rausy induction, symbolic dynamics, factor dynamics.

UDC: 519.766

Received: 06.11.2019

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, 75:5, 216–219

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