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SUMMARY:Bernoulli Lecture I - The stability of large ecological networks: 
 a random matrix approach
DTSTART:20140710T171500
DTEND:20140710T181500
DTSTAMP:20260428T004827Z
UID:43ed5963cdcc362a7f3874776e3ab8b8571520c63058e37768316edc
CATEGORIES:Conferences - Seminars
DESCRIPTION:Stefano Allesina\nSince the work of Robert May in 1972\, the l
 ocal asymptotic stability\nof large ecological systems has been a focus of
  theoretical ecology.\nHere I review May's work in the light of Random Mat
 rix Theory\, the\nfield of mathematics devoted to the study of large matri
 ces whose\ncoefficients are randomly sampled from distributions with given
 \ncharacteristics.\nI show how May's celebrated ``stability criterion'' ca
 n be derived\nusing Random Matrix Theory\, and how extensions of the so-ca
 lled\ncircular law for the limiting distribution of the eigenvalues of lar
 ge\nrandom matrix can further our understanding of ecological systems.\nI 
 conclude by enumerating a number of challenges\, whose solution is\ngoing 
 to greatly improve our ability to understand the dynamics of\nlarge ecolog
 ical networks.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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