The critical exponent of the Arshon words
نویسندگان
چکیده
منابع مشابه
The critical exponent of the Arshon words
Generalizing the results of Thue (for n = 2) and of Klepinin and Sukhanov (for n = 3), we prove that for all n ≥ 2, the critical exponent of the Arshon word of order n is given by (3n− 2)/(2n− 2), and this exponent is attained at position 1.
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15 صفحه اولOn the critical exponent of generalized Thue-Morse words
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 exactly the occurrences of powers realizing it.
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ژورنال
عنوان ژورنال: RAIRO - Theoretical Informatics and Applications
سال: 2010
ISSN: 0988-3754,1290-385X
DOI: 10.1051/ita/2010009