Geodesic
Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 57-60 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {I. A. Reshetnikov and A. Ya. Kanel-Belov},
     title = {Criterion for substitutivity of {Sturmian} palindromes and one-dimensional factor dynamics},
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I. A. Reshetnikov; A. Ya. Kanel-Belov. Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 57-60. http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a7/

[1] Belov A.Ya., Kondakov G.V., Mitrofanov I., “Inverse problems of symbolic dynamics”, Algebraic methods in dynamical systems, Dedicated to Michael Singer on his 60th birthday (Bedlewo, Poland, May 16–22, 2010), Banach Center Publ., 94, Polish Academy of Sciences, Institute of Mathematics, Warszawa, 2011, 43–60

[2] Mitrofanov I., On uniform recurrence of HD0l systems, arXiv: 1111.1999

[3] Muchnik An.A., Pritykin Yu.L., Semenov A.L., “Posledovatelnosti, blizkie k periodicheskim”, Uspekhi matem. nauk, 64:5 (389) (2009), 21–96

[4] Rauzy G., “Échanges d'intervalles et transformations induites”, Acta Arithm., 34 (1979), 315–328