Matrices autosimilaires

Details Matrices autosimilaires Matrices autosimilaires

2002-08-09

arxiv.org/abs/math/0208074v1

Mathematics

Rings and Algebras

9 pages, no figures, french

Scientific paper

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.

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