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UID:addff0dd5fe295a172a1dd5bc89c3347
CATEGORIES:Mathematical Physics Seminar
CREATED:20210412T104642
SUMMARY:Multiple Equilibria and Resilience in Large Complex Systems: beyond May-Wigner model
LOCATION:zoom
DESCRIPTION:<p>Title: Multiple Equilibria and Resilience in Large Complex Systems: beyo
 nd May-Wigner model.<br /> <br /> I will discuss two different models of ra
 ndomly coupled N&gt;&gt;1 autonomous differential equations with the aim of
  counting their fixed points (aka equilibria), and classifying them by thei
 r ''instability index'', i.e. the number of unstable directions. In the fir
 st model ( studied in a joint paper with G. Ben Arous &amp; B. Khoruzhenko)
  characterized by both translational and rotational statistical symmetry of
  the vector field, we estimate the probability of an equilibrium to have a 
 given index in a phase with exponentially many equilibria. In the second mo
 del (studied with S. Belga Fedeli &amp; J. Ipsen) characterized by only rot
 ational statistical symmetry around a chosen stable equilibrium, we find a 
 characteristic distance beyond which the multitude of equilibria prevents a
  trajectory to go towards the stable equilibrium. This may help to shed som
 e light on ''resilience'' mechanisms of complex ecosystems.</p>
CONTACT:Yan Fyodorov - King’s College London
DTSTAMP:20260828T015310
DTSTART;TZID=America/New_York:20210421T104500
DTEND;TZID=America/New_York:20210421T114500
SEQUENCE:0
TRANSP:OPAQUE
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