Distribution of the determinant of a random real-symmetric matrix from the gaussian orthogonal ensemble

  • Delannay, Le Caer G
  • Published 2000 in
    Physical review. E, Statistical physics, plasmas…


The Mellin transform of the probability density of the determinant of NxN random real-symmetric matrices from the Gaussian orthogonal ensemble is calculated. The determinant probability density is given by a single Meijer G function for odd N. The distribution of the potential at the origin, within the Coulomb gas interpretation, is investigated from the… (More)