activity
19992022
most citedGeneralized Pascal triangle for binomial coefficients of words

14 citations · 54 across the 28 of their papers we have counts for

collaborators

38 papers

math.CO2022

On extended boundary sequences of morphic and Sturmian words

Michel Rigo, Manon Stipulanti, Markus A. Whiteland

Generalizing the notion of the boundary sequence introduced by Chen and Wen, the th term of the -boundary sequence of an infinite word is the finite set of pairs o…

math.NT2022

On digital sequences associated with Pascal's triangle

Pierre Mathonet, Michel Rigo, Manon Stipulanti +1

We consider the sequence of integers whose th term has base- expansion given by the th row of Pascal's triangle modulo (where is a prime number). We first present…

math.CO2022★ 2 cited

Characterizations of families of morphisms and words via binomial complexities

Michel Rigo, Manon Stipulanti, Markus A. Whiteland

Two words are -binomially equivalent if each subword of length at most occurs the same number of times in both words. The -binomial complexity of an infinite word is a co…

cs.FL2021

Revisiting regular sequences in light of rational base numeration systems

Michel Rigo, Manon Stipulanti

Regular sequences generalize the extensively studied automatic sequences. Let be an abstract numeration system. When the numeration language is prefix-closed and regular, a…

cs.FL2021★ 1 cited

Automatic sequences: from rational bases to trees

Michel Rigo, Manon Stipulanti

The th term of an automatic sequence is the output of a deterministic finite automaton fed with the representation of in a suitable numeration system. In this paper, instead…

cs.DM2020★ 1 cited

Ultimate periodicity problem for linear numeration systems

E. Charlier, A. Massuir, M. Rigo +1

We address the following decision problem. Given a numeration system and a -recognizable set , i.e. the set of its greedy -representations is recogn…