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Episturmian morphisms and a Galois theorem on continued fractions
2005
RAIRO - Theoretical Informatics and Applications
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We associate with a word w on a finite alphabet A an episturmian (or Arnoux-Rauzy) morphism and a palindrome. We study their relations with the similar ones for the reversal of w. Then when |A| = 2 we deduce, using the Sturmian words that are the fixed points of the two morphisms, a proof of a Galois theorem on purely periodic continued fractions whose periods are the reversal of each other. Mathematics Subject Classification. 11A55, 68R15.
doi:10.1051/ita:2005012
fatcat:rvnkbjcqcjhllds7nxlkelz3ym