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Arnoux-Rauzy Substitutions and Palindrome Words
Journal article   Peer reviewed

Arnoux-Rauzy Substitutions and Palindrome Words

Hamdi Ammar and Tarek Sellami
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, Vol.42(4), pp.1865-1873
15/07/2019
DOI: https://doi.org/10.1007/s40840-017-0578-5

Abstract

Mathematics Physical Sciences Science & Technology
We consider sigma 1,sigma 2,sigma 3 the Arnoux-Rauzy substitutions. In this paper we study Palindrome words on the Arnoux-Rauzy substitutions sequences. We prove that the product sigma i sigma jk2 (i) is a Palindrome word, where i,j,s{1,2,3;ijs} and k(2), k(3) is an element of N*.

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