Abstract. This survey paper contains a description of some recent results concerning Sturmian and episturmian words, with particular emphasis on central words. We list fourteen cha...
In this paper we define Sturmian graphs and we prove that all of them have a certain “counting” property. We show deep connections between this counting property and two conj...
We consider Sturmian trees as a natural generalization of Sturmian words. A Sturmian tree is a tree having n + 1 distinct subtrees of height n for each n. As for the case of words,...
Jean Berstel, Luc Boasson, Olivier Carton, Isabell...
In this paper we explore various interconnections between rich words, Sturmian words, and trapezoidal words. Rich words, first introduced by the second and third authors together w...
We show that the coding of a rotation by on m intervals can be recoded over m Sturmian words of angle . c 2002 Elsevier Science B.V. All rights reserved.