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Powers in Sturmian sequences

Authors
Journal
European Journal of Combinatorics
0195-6698
Publisher
Elsevier
Publication Date
Volume
24
Issue
4
Identifiers
DOI: 10.1016/s0195-6698(03)00026-x
Keywords
  • Sturmian Sequences
  • Powers
  • Combinatorics On Words
Disciplines
  • Mathematics

Abstract

Abstract We consider Sturmian sequences and explicitly determine all the integer powers occurring in them. Our approach is purely combinatorial and is based on canonical decompositions of Sturmian sequences and properties of their building blocks.

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