[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, the first step is to recall the well-known link between those two objects. Then this link is exploited to define Pascal-like triangles associated with different numeration systems. Those new objects converge to analogues of the Sierpinski gasket. If time permits, other questions will be discussed.
Disciplines :
Mathematics
Author, co-author :
Stipulanti, Manon ; Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes
Language :
English
Title :
Extensions of the Pascal triangle to words
Publication date :
28 May 2019
Number of pages :
67
Event name :
Most Informal Probability Seminar
Event organizer :
Leiden University
Event place :
Leiden, Netherlands
Event date :
28 mai 2019
Audience :
International
Funders :
Fonds pour la formation à la Recherche dans l'Industrie et dans l'Agriculture (Communauté française de Belgique) - FRIA
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).
