150 citations · 427 across the 22 of their papers we have counts for
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On the critical exponent of generalized Thue-Morse words
Alexandre Blondin-Massé, Srecko Brlek, Amy Glen +1
For certain generalized Thue-Morse words t, we compute the "critical exponent", i.e., the supremum of the set of rational numbers that are exponents of powers in t, and determine e…
Characterizations of finite and infinite episturmian words via lexicographic orderings
Amy Glen, Jacques Justin, Giuseppe Pirillo
In this paper, we characterize by lexicographic order all finite Sturmian and episturmian words, i.e., all (finite) factors of such infinite words. Consequently, we obtain a charac…
A characterization of fine words over a finite alphabet
Amy Glen
To any infinite word w over a finite alphabet A we can associate two infinite words min(w) and max(w) such that any prefix of min(w) (resp. max(w)) is the lexicographically smalles…
Powers in a class of A-strict standard episturmian words
Amy Glen
This paper concerns a specific class of strict standard episturmian words whose directive words resemble those of characteristic Sturmian words. In particular, we explicitly determ…
Occurrences of palindromes in characteristic Sturmian words
Amy Glen
This paper is concerned with palindromes occurring in characteristic Sturmian words of slope , where is an irrational. As is a uniformly recurrent infin…
Conjugates of characteristic Sturmian words generated by morphisms
Amy Glen
This article is concerned with characteristic Sturmian words of slope and (denoted by and respectively), where is an irrational number such t…