The stability–complexity relationship at age 40: a random matrix perspective

  title={The stability–complexity relationship at age 40: a random matrix perspective},
  author={Stefano Allesina and Si Hui Tang},
  journal={Population Ecology},
Since the work of Robert May in 1972, the local asymptotic stability of large ecological systems has been a focus of theoretical ecology. Here we review May’s work in the light of random matrix theory, the field of mathematics devoted to the study of large matrices whose coefficients are randomly sampled from distributions with given characteristics. We show how May’s celebrated “stability criterion” can be derived using random matrix theory, and how extensions of the so-called circular law for… CONTINUE READING
Highly Cited
This paper has 41 citations. REVIEW CITATIONS
Recent Discussions
This paper has been referenced on Twitter 7 times over the past 90 days. VIEW TWEETS


Publications citing this paper.


Publications referenced by this paper.

Similar Papers

Loading similar papers…