Order and quasiperiodicity in episturmian words

• cours magistral - matière potentielle : notes

Order and quasiperiodicity in episturmian words Amy Glen∗ LaCIM, Universite du Quebec a Montreal, C.P. 8888, succursale Centre-ville, Montreal, Quebec, CANADA, H3C 3P8 Extended Abstract† July 13, 2007 1 Introduction In this paper, we build upon previous work concerning inequalities characterizing Sturmian and episturmian words – see [19, 29, 30, 14, 16]. First let us recall from [29] the following notion relating to lexicographic order.

• infinite word
• g. pirillo
• lexicographic order
• epistandard word
• episturmian word
• episturmian words
• morphisms
• main results
• sequence