Browsing by Author "Saari, Kalle"
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Extremal words in morphic subshifts
Zamboni, Luca Q.; Saari, Kalle; Rampersad, Narad; Currie, James D. (Elsevier, 20140122)Given an infinite word x over an alphabet A, a letter b occurring in x, and a total order \sigma on A, we call the smallest word with respect to \sigma starting with b in the shift orbit closure of x an extremal word of ... 
Least Periods of Factors of Infinite Words
Currie, James D.; Saari, Kalle (EDP Sciences, 2009)We show that any positive integer is the least period of a factor of the ThueMorse word. We also characterize the set of least periods of factors of a Sturmian word. In particular, the corresponding set for the Fibonacci ... 
Squarefree Words with Squarefree Selfshuffles
Currie, James D.; Saari, Kalle (The Electronic Journal of Combinatorics, 20140112)We answer a question of Harju: For every n ≥ 3 there is a squarefree ternary word of length n with a squarefree selfshuffle. 
Suffix conjugates for a class of morphic subshifts
Currie, James D.; Rampersad, Narad; Saari, Kalle (Cambridge University Press, 201509)Let A be a finite alphabet and f: A^* > A^* be a morphism with an iterative fixed point f^\omega(\alpha), where \alpha{} is in A. Consider the subshift (X, T), where X is the shift orbit closure of f^\omega(\alpha) and ...