The m-tuplings Morse sequence, as a fixed point of a constant length substitution, was
discussed. An equivalent definition was given by the property of the m-adic development of …

The Prouhet-Thue-Morse sequence, more commonly called the Thue-Morse (TM) sequence,
is defined on the alphabet∑={0, 1} and was first considered by Prouhet in 1851 [9]. The …

We discuss a well-known binary sequence called the Thue-Morse sequence, or the Prouhet-
Thue-Morse sequence. This sequence was introduced by Thue in 1906 and rediscovered by …

In this note, we investigate the delta sequence associated to the classical Thue-Morse
sequence and prove a conjecture about the delta sequence. Further, we generalize the …

GENERALISATIONS DE LA SUITE DE THUE-MORSE 1. Introduction. La suite `a valeurs dans
Z/2Z de Thue-Morse t = (t(n)) définie p Page 1 Ann. Sci. Math. Québec 21 (1997), no. 2 …

The Thue-Morse sequence, also called the Morse-Thue sequence or Prouhet-Thue-Morse
sequence (Allouche and Cosnard 2000), is one of a number of related sequences of …

We consider a class of binary sequences that generalize the Thue-Morse sequence. In
particular, we investigate the occurrences of palindromes in such sequences. We also …

1.1. The Thue-Morse dynamical system. Let (tr) r∈ N and (tr) r∈ N be the sequences of
words on the alphabet {0, 1} defined by t0= 0, t0= 1, tr+ 1= trtr, and tr+ 1= trtr (in all this paper …

In a recent paper, Ma and Holdener used turtle geometry and polygon maps to show that the
Thue-Morse sequence encodes the von Koch curve. In the final paragraph of this same …

Given an integer q ≥ 2 q≥ 2 and θ _1, ..., θ _ q-1 ∈ {0, 1\} θ 1,…, θ q-1∈ 0, 1, let (θ _n) _ n
≥ 0 (θ n) n≥ 0 be the generalized Thue–Morse sequence, defined to be the unique fixed …