… To obtain more general results in the infinite alphabet … our alphabets will be equipped with
a compact Hausdorff topology and we insist that the substitution is continuous on this alphabet …

… In this work, we consider continuous substitutions on a compact alphabet and develop …
alphabet generalisations of the Thue–Morse, period doubling and Rudin–Shapiro substitutions. …

… In Section 4, we zoom into the world of substitutions on compact alphabets, where we present
the generalisation of objects and results associated with substitutions in the finite alphabet …

… substitutions on infinite alphabets and show that they exhibit a growth behaviour which is
impossible for substitutions on finite alphabets… This substitution ϱ a on a now compact alphabet …

… We give a few examples of substitutions on infinite alphabets, and the … In particular, the
“drunken man” substitution can be … -compact) symbolic system associated to the substitution σ. …

… The primary alphabet can be the standard alphabet (Table 1) or a mixed … The Hagelin
cipher machine developed in 1934 was a compact tape-printing mechanical device used for …

… S-adic subshifts of finite or bounded alphabet rank. This class of … Among them are substitution
subshifts, linearly recurrent … is a pair (X, T ), where X is a compact metric space and T : X → …

… topology we find that AZd is compact. Considering all blocks B, … substitution sequence even
if it is not on an alphabet of complex numbers by considering a bijection from the alphabet A …

… When the alphabet A is a topological compact set, many results are given in [4… concerning
substitutions on countable infinite alphabets that we should point out is that substitutions may …

… substitutions on compact alphabets. We also recall the properties of the substitution operator
(which is the infinite-alphabet … it to a full substitution on a compact alphabet. This is possible …