We consider the four families of recognizable, synchronous, deterministic rational and rational subsets of a direct product of free monoids. They form a strict hierarchy and we in...
Olivier Carton, Christian Choffrut, Serge Grigorie...
PageRank is a ranking method that assigns scores to web pages using the limit distribution of a random walk on the web graph. A fibration of graphs is a morphism that is a local i...
Paolo Boldi, Violetta Lonati, Massimo Santini, Seb...
In this work we study some probabilistic models for the random generation of words over a given alphabet used in the literature in connection with pattern statistics. Our goal is t...
A set T L is a Parikh test set of L iff c(T ) is a test set of c(L). We give an effective characterization of Parikh test sets for arbitrary commutative language.
The complexity of infinite words is considered from the point of view of a transformation with a Mealy machine that is the simplest model of a finite automaton transducer. We are ...
The necessary and sufficient conditions are extracted for periodicity of bi-ideals. By the way two proper subclasses of uniformly recurrent words are introduced.
A language L A is literally idempotent in case that ua2 v L if and only if uav L, for each u, v A , a A. Varieties of literally idempotent languages result naturally by taking...