Fractional powers in Sturmian words
Given an infinite Sturmian word s, we calculate the function L(m) which gives the length of the longest factor of s having period m. The expression of L(m) makes use of the continued fraction of the irrational cc associated with s. (C) 2001 Elsevier Science B.V. All rights reserved.
sturmian word continued fraction 3-distance theorem periodic factor