Internationally recognised researchers look at developing trends in combinatorics with
applications in the study of words and in symbolic dynamics. They explain the important …

The exponent of a word is the ratio of its length over its smallest period. The repetitive
threshold r (a) of an a-letter alphabet is the smallest rational number for which there exists …

Thue proved that the factors occurring infinitely many times in square-free words over {0, 1,
2} avoiding the factors in {010, 212} are the factors of the fixed point of the morphism 0↦ 012 …

An interesting phenomenon in combinatorics on words is when every recurrent word
satisfying some avoidance constraints has the same factor set as a morphic word. An early …

We investigate the finite repetition threshold for k-letter alphabets, k≥ 4, that is the smallest
number r for which there exists an infinite r+-free word containing a finite number of r …

A square is the concatenation of a nonempty word with itself. A word has period p if its letters
at distance p match. The exponent of a nonempty word is its length divided by its smallest …

The study of Combinatorics on words started at the beginning of the 20th century with the
work of the Norwegian Mathematician Axel Thue, who published several articles in a …