Abstract
This article presents a survey about balanced words. The balance property comes from combinatorics onwordsand is used as a characteristic property of the well-known Sturmian words. The main goal of this survey is to studyvarious generalizations of this notion with applications and with open problems in number theory and in theoreticalcomputer science. We also prove a new result about the generalized balance property of hypercubic billiard words.
Citation
Laurent Vuillon. "Balanced words." Bull. Belg. Math. Soc. Simon Stevin 10 (5) 787 - 805, December 2003. https://doi.org/10.36045/bbms/1074791332
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