Bernoulli Lecture I - The stability of large ecological networks: a random matrix approach
Event details
| Date | 10.07.2014 |
| Hour | 17:15 › 18:15 |
| Speaker | Stefano Allesina |
| Location | |
| Category | Conferences - Seminars |
Since the work of Robert May in 1972, the local asymptotic stability
of large ecological systems has been a focus of theoretical ecology.
Here I 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.
I show how May's celebrated ``stability criterion'' can be derived
using Random Matrix Theory, and how extensions of the so-called
circular law for the limiting distribution of the eigenvalues of large
random matrix can further our understanding of ecological systems.
I conclude by enumerating a number of challenges, whose solution is
going to greatly improve our ability to understand the dynamics of
large ecological networks.
of large ecological systems has been a focus of theoretical ecology.
Here I 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.
I show how May's celebrated ``stability criterion'' can be derived
using Random Matrix Theory, and how extensions of the so-called
circular law for the limiting distribution of the eigenvalues of large
random matrix can further our understanding of ecological systems.
I conclude by enumerating a number of challenges, whose solution is
going to greatly improve our ability to understand the dynamics of
large ecological networks.
Practical information
- General public
- Free
Contact
- Rana Gherzeddine