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SUMMARY:A BRANCHING PARTICLE SYSTEM AS A MODEL OF PUSHED FRONTS - Julie To
urniaire (IST Austria)
DTSTART;VALUE=DATE-TIME:20231113T140000Z
DTEND;VALUE=DATE-TIME:20231113T150000Z
UID:https://talks.ox.ac.uk/talks/id/ebd7109e-57c6-4dbe-a04b-2d975d851ae0/
DESCRIPTION:We consider a system of particles performing a one-dimensional
dyadic branching Brownian motion with space-dependent branching rate $r(x
)$\, negative drift $-\\mu$\, and killed upon reaching $0$. More precisel
y\, the particles branch at rate $\\rho/2$ in $[0\,1]$\, for some $\\rho\\
geq 1$\, and at rate $1/2$ in $(1+\\infty)$. The drift $\\mu=\\mu(\\rho)$
is chosen in such a way that the system is critical.\nThis system can be s
een as an analytically tractable model for fluctuating fronts\, describing
the internal mechanisms driving the invasion of a habitat by a cooperatin
g population. \nRecent studies by Birzu\, Hallatschek and Korolev on the n
oisy FKPP equation with Allee effect suggest the existence of three classe
s of fluctuating fronts: pulled\, semi-pushed and fully-pushed fronts. \nI
n this talk\, we will focus on the pushed regime. We will show that the BB
M exhibits the same phase transitions as the noisy FKPP equation. We will
then use this particle system to explain how the internal mechanisms driv
ing the invasion shape the genealogy of an expanding population.\n\nThis t
alk is based on joint work with FĂ©lix Foutel-Rodier and Emmanuel Schertze
r.\nSpeakers:\nJulie Tourniaire (IST Austria)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/ebd7109e-57c6-4dbe-a04b-2d975d851ae0/
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DESCRIPTION:Talk:A BRANCHING PARTICLE SYSTEM AS A MODEL OF PUSHED FRONTS -
Julie Tourniaire (IST Austria)
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