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SUMMARY:Convergence of genealogies through spinal decomposition - Félix F
 outel-Rodier (University of Oxford)
DTSTART;VALUE=DATE-TIME:20221031T120000Z
DTEND;VALUE=DATE-TIME:20221031T130000Z
UID:https://talks.ox.ac.uk/talks/id/6b095162-04ab-44fe-b093-f8b724676ba0/
DESCRIPTION:Consider a branching process where each individual is endowed 
 with a heritable type that influences its reproductive success. In this pr
 esentation I will outline a new approach to study the scaling limit of the
  genealogy and distribution of types of such branching processes\, when lo
 oked at a large time horizon. It relies on two main building blocks: 1) vi
 ewing genealogies as random metric measure spaces in the Gromov-weak topol
 ogy and 2) computing the Gromov-weak "moments" of the genealogy using a ma
 ny-to-few formula. I will illustrate this approach on the simple example o
 f multi-type Galton-Watson processes and discuss some more complex models 
 that we have been considering.\n\nThis is based on a joint work with Emman
 uel Schertzer\, and another with Florin Boenkost and Emmanuel Schertzer.\n
 Speakers:\nFélix Foutel-Rodier (University of Oxford)
LOCATION:Mathematical Institute (L5)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/6b095162-04ab-44fe-b093-f8b724676ba0/
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DESCRIPTION:Talk:Convergence of genealogies through spinal decomposition -
  Félix Foutel-Rodier (University of Oxford)
TRIGGER:-PT1H
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