Combinatorics on words has arisen independently within several branches of mathematics,
for instance, number theory, group theory and probability, and appears frequently in …

Mathematical theory of dynamical systems originated in Newton mechanics. In Newton
theory of planetary motions, the sun and the planets are regarded as mass points—particles …

This survey paper contains a description of some recent results concerning Sturmian and
episturmian words, with particular emphasis on central words. We list fourteen …

The basic object of this chapter is a word, that is a sequence-finite or infinite-of elements
from a finite set. The very definition of a word immediately imposes two characteristic …

When you ask different people what they like most about mathematics, you are likely to get
different answers: For some, it is the clarity and beauty of pure reasoning; for others, grand …

The two parts of this text are based on two series of lectures delivered by Jean Berstel and
Christophe Reutenauer in March 2007 at the Centre de Recherches Mathematiques …

Symbolic dynamics is essential in the study of dynamical systems of various types and is
connected to many other fields such as stochastic processes, ergodic theory, representation …

The discrete mathematics and theoretical computer science communities have recently
witnessed explosive growth in the area of algorithmic combinatorics on words. The next …

Sturmian words are infinite words over a binary alphabet with exactly n+ 1 factors of length n
for each n≥ 0 (see [2, 6, 12]). In fact, the study of the Sturmian words appears in many areas …

The notion of string attractor has recently been introduced in [Prezza, 2017] and studied in
[Kempa and Prezza, 2018] to provide a unifying framework for known dictionary-based …