A Square Root Map on Sturmian Words

[摘要] We introduce a square root map on Sturmian words and study its properties. Given a Sturmian word of slope $\alpha$, there exists exactly six minimal squares in its language (a minimal square does not have a square as a proper prefix). A Sturmian word $s$

[学科分类] 离散数学和组合数学

[关键词] Sturmian word;Standard word;Optimal squareful word;Word equation;continued fraction