Random Antagonistic Matrices
Mathematical Physics
2016-08-25 v2 Statistical Mechanics
math.MP
Populations and Evolution
Abstract
The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries and 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.
Keywords
Cite
@article{arxiv.1605.00531,
title = {Random Antagonistic Matrices},
author = {Giovanni M. Cicuta and Luca Guido Molinari},
journal= {arXiv preprint arXiv:1605.00531},
year = {2016}
}
Comments
14 pages, 6 figures. References and text updated