Matrices coupled in a chain: II. Spacing functions

Gilbert Mahoux (1, 2) , Madan Lal Mehta (1) , Jean-Marie Normand (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 CNRS - Centre National de la Recherche Scientifique

For the eigenvalues of $p$ complex hermitian $n×n$ matrices coupled in a chain, we give a method of calculating the spacing functions. This is a generalization of the one matrix case which has been known for a long time

Domaines: Physique mathématique [math-ph]

Gilbert Mahoux, Madan Lal Mehta, Jean-Marie Normand. Matrices coupled in a chain: II. Spacing functions. Journal of Physics A: Mathematical and General (1975 - 2006), 1998, 31 (19), pp.4457-4464. ⟨10.1088/0305-4470/31/19/011⟩. ⟨cea-02905144⟩