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SUMMARY:Branching systems with noisy selection - Emmanuel Schertzer (Vienn
 a)
DTSTART;VALUE=DATE-TIME:20240219T140000Z
DTEND;VALUE=DATE-TIME:20240219T150000Z
UID:https://talks.ox.ac.uk/talks/id/87fe23de-02ca-4b55-bb57-c451e5b42835/
DESCRIPTION:There has been a lot of recent progress on branching particle 
 systems \nwith selection\, in particular on the $N$-particle branching ran
 dom walk \n($N$-BRW). In the N-BRW\, $N$ particles have locations on the r
 eal line \nat all times. At each time step\, each of the $N$ particles has
  a number \nof children\, and each child has a random displacement from it
 s parent's \nlocation. Then among the children only the $N$ rightmost are 
 selected to \nsurvive and reproduce in the next generation. This is a trun
 cation \nselection model.\n\nIn this talk\, I will investigate the noisy v
 ersion of the $N$-BRW. That \nis\, instead of truncation\, we randomly sam
 ple $N$ particles from the \nchildren to survive. The probability of selec
 ting a given child depends \non its location in such a way that particles 
 more to the right are more \nlikely to be selected. There are different ve
 rsions of such models\, \nwhich\, according to our simulations\, show some
  similar counter-intuitive \nbehaviours. In this talk we will discuss expl
 anations of these phenomena \nby presenting rigorous results and conjectur
 es on some of the noisy \nselection models.\nSpeakers:\nEmmanuel Schertzer
  (Vienna)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/87fe23de-02ca-4b55-bb57-c451e5b42835/
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DESCRIPTION:Talk:Branching systems with noisy selection - Emmanuel Schertz
 er (Vienna)
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