The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries A(ij) and A(ji) 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.
Random antagonistic matrices / G.M. Cicuta, L.G. Molinari. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 49:37(2016 Aug 24). [10.1088/1751-8113/49/37/375601]
Random antagonistic matrices
L.G. MolinariUltimo
2016
Abstract
The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries A(ij) and A(ji) 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.
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