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UID:22@lincs.fr
DTSTART;TZID=Europe/Paris:20120125T140000
DTEND;TZID=Europe/Paris:20120125T150000
DTSTAMP:20190122T130323Z
URL:https://www.lincs.fr/events/the-fleming-viot-process-driven-by-subcrit
 ical-branching-a-selection-principle/
SUMMARY:The Fleming Viot process driven by subcritical branching: a
 selection principle
DESCRIPTION:We consider Fleming Viot processes having the following
 dynamics: N particles move independently according to the dynamics of a
 subcritical branching process until they hit 0\, at which point\, they
 instantaneously and uniformly choose the position of one of the other
 particles. We first establish a coupling between the FV processes
 (associated to any one-dimensional dynamics) and multitype branching
 processes. This allows us to prove convergence of scaled version of the FV
 processes and ergodicity for fixed N. Using large deviations estimate for
 subcritical branching processes\, this coupling further allows to obtain
 useful drift inequalities for the maximum of the Fleming Viot process.
 These inequalities imply in turn tightness of the family of empirical
 measures under measure of the branching process when N tends to infinity.
 the stationary measure of the FV process. Finally\, we prove a selection
 principle: the empirical measures converge to the extremal quasi-stationary
 measure of the branching process when N tends to infinity.\n\n\n\n
CATEGORIES:Seminars
LOCATION:LINCS Meeting Room 40\, 23\, avenue d'Italie\, Paris\, 75013\,
 France
GEO:48.8283983;2.3568972000000485
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 40:geo:48.8283983,2.3568972000000485
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TZID:Europe/Paris
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DTSTART:20111030T020000
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TZOFFSETTO:+0100
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