Geodesic
Criterion for substitutivity of Sturmian palindromes and one-dimensional factor dynamics
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 57-60

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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. 
@article{VMUMM_2020_5_a7,
     author = {I. A. Reshetnikov and A. Ya. Kanel-Belov},
     title = {Criterion for substitutivity of {Sturmian} palindromes and one-dimensional factor dynamics},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--60},
     publisher = {mathdoc},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a7/}
}
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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/