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LATIN SQUARE THUEMORSE SEQUENCES ARE OVERLAPFREE
"... Abstract. We define a morphism based upon a Latin square that generalizes the ThueMorse morphism. We prove that fixed points of this morphism are overlapfree sequences, generalizing results of Allouche Shallit and Frid. 1. ..."
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Abstract. We define a morphism based upon a Latin square that generalizes the ThueMorse morphism. We prove that fixed points of this morphism are overlapfree sequences, generalizing results of Allouche Shallit and Frid. 1.
On the Critical Exponent of Generalized ThueMorse Words
, 2007
"... For certain generalized ThueMorse 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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For certain generalized ThueMorse 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.
On the critical exponent of generalized ThueMorse words ∗
, 2007
"... For certain generalized ThueMorse 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. Keywords: ThueMorse; critical exponent; occurrences. MSC (2000): 68R15; 11 ..."
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For certain generalized ThueMorse 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. Keywords: ThueMorse; critical exponent; occurrences. MSC (2000): 68R15; 11B85. 1
Article 03.4.2 On a class of ThueMorse type sequences
"... We consider a class of binary sequences that generalize the ThueMorse sequence. In particular, we investigate the occurrences of palindromes in such sequences. We also introduce the notion of the first difference of a binary sequence and characterize first differences of our class of ThueMorse typ ..."
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We consider a class of binary sequences that generalize the ThueMorse sequence. In particular, we investigate the occurrences of palindromes in such sequences. We also introduce the notion of the first difference of a binary sequence and characterize first differences of our class of ThueMorse type sequences. Finally, we define the concept of a “change sequence ” of a given binary sequence, a sequence which encodes the positions at which a binary sequence changes values. We characterize the change sequences corresponding to our class of ThueMorse type sequences.
On a class of ThueMorse type sequences
, 2003
"... We consider a class of binary sequences that generalize the ThueMorse sequence. ..."
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We consider a class of binary sequences that generalize the ThueMorse sequence.