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DTSTART:20190331T030000
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DTSTAMP:20260404T064811Z
UID:5c4816067a9ae173874030@ist.ac.at
DTSTART:20190129T173000
DTEND:20190129T183000
DESCRIPTION:Speaker: Jan Swart\nhosted by Jan Maas\nAbstract: Interacting p
 article systems can often be constructed from a graphical representation\,
  by applying local maps at the times of associated Poisson processes. This
  leads to a natural coupling of systems started in different initial state
 s. In the talk\, we will look at interacting particle systems on the compl
 ete graph in the mean-field limit\, i.e.\, as the number of vertices tends
  to infinity. We will not only be interested in the mean-field limit of a 
 single process\, but mainly in how several coupled processes behave in the
  limit. In particular\, we want to know how sensitive the Poisson construc
 tion is to small changes in the initial state. This turns out to be closel
 y related to recursive tree processes as studied by Aldous and Bandyopadya
 y\, which are a sort of Markov chains in which time has a tree-like struct
 ure and in which the state of each vertex is a random function of its desc
 endants. The abstract theory will be demonstrated on an example of a parti
 cle system with cooperative branching and deaths.This is joint work with A
 nja Sturm and Tibor Mach.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:swiddman@ist.ac.at
SUMMARY:Jan Swart: Vienna Probability Seminar: Recursive tree processes and
  the mean-field limit of stochastic flows
URL:https://talks-calendar.ista.ac.at/events/1773
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