Giovanni Cicuta — Università di Parma#
Random Antagonistic Matrices #
The ensemble of antagonistic matrices is introduced and
studied. In antagonistic matrices the entries  \(A_{i,j}\)  and \(A_{j,i}\) are real and have opposite signs, or are both zero, and the diagonal is zero.
This generalization of antisymmetric matrices is suggested by the linearized dynamics of competitive species in ecology.