Matrices autosimilaires
Rings and Algebras
2007-05-23 v1 Combinatorics
Number Theory
Abstract
We describe a class of matrices whose determinants are trivial to compute. A nice example of such a matrix is given by considering the symmetric matrix with entries {i+j choose i} (mod 2) in {0,1}, 0 <= i,j < n the binomial coefficients modulo 2 represented by {0,1}. The determinant of the above matrix is then closely related to the Thue-Morse sequence counting digits modulo 2 of binary integers.
Keywords
Cite
@article{arxiv.math/0208074,
title = {Matrices autosimilaires},
author = {Roland Bacher},
journal= {arXiv preprint arXiv:math/0208074},
year = {2007}
}
Comments
9 pages, no figures, french