Sequences with constant number of return words

An infinite word has the property Rm if every factor has exactly m return words. Vuillon showed that R2 characterizes Sturmian words. We prove that a word satisfies Rm if its complexity function is (m-1)n+1 and if it contains no weak bispecial factor. These conditions

• Type: Journal
• Year: 2006
• Where: CORR
• Authors: Lubomíra Balková, Edita Pelantová, Wolfgang Steiner
• Keywords: Characterizes Sturmian Words, CORR 2006, Education, Infinite Word, Property Rm