[en] The Pascal triangle and the corresponding Sierpinski gasket are well-studied objects. They exhibit self-similarity features and have connections with dynamical systems, cellular automata, number theory and automatic sequences in combinatorics on words. In this talk, I will first recall the well-known link between those two objects. Then I will exploit it to define Pascal-like triangles associated with different numeration systems, and their analogues of the Sierpinski gasket.
This a work in collaboration with Julien Leroy and Michel Rigo (University of Liège, Belgium).
Disciplines :
Mathematics
Author, co-author :
Stipulanti, Manon ; Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
A way to extend the Pascal triangle to words
Publication date :
16 November 2018
Number of pages :
65
Event name :
IRIF Automata seminar
Event organizer :
IRIF, Université Paris-Diderot
Event place :
Paris, France
Event date :
16 novembre 2018
Audience :
International
Funders :
FRIA - Fonds pour la Formation à la Recherche dans l'Industrie et dans l'Agriculture
Commentary :
Work in collaboration with Julien Leroy (ULg, j.leroy@uliege.be) and Michel Rigo (ULg, m.rigo@uliege.be). // Travail en collaboration avec Julien Leroy (ULg, j.leroy@uliege.be) et Michel Rigo (ULg, m.rigo@uliege.be).
