Matrices autosimilaires
Bacher, Roland
HAL, hal-00012438 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  [MATH.MATH-RA]Mathematics [math]/Rings and Algebras [math.RA],  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO],  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-00012438,
     author = {Bacher, Roland},
     title = {Matrices autosimilaires},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012438}
}

Bacher, Roland. Matrices autosimilaires. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012438/