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SUMMARY:Branching random walk with non-local competition - Sarah Penington
(University of Bath)
DTSTART;VALUE=DATE-TIME:20230515T140000
DTEND;VALUE=DATE-TIME:20230515T150000
UID:https://talks.ox.ac.uk/talks/id/68e7866f-65f6-4b79-8cff-ff840116a4d7/
DESCRIPTION:We study a particle system in which particles reproduce\, move
randomly in space\, and compete with each other. We prove global survival
and determine the asymptotic spread of the population\, when the norm of
the competition kernel is sufficiently small. In contrast to most previous
work\, we allow the competition kernel to have an arbitrary\, or even inf
inite range\, whence the term 'non-local competition'. This makes the part
icle system non-monotone and of infinite-range dependence\, meaning that t
he usual comparison arguments break down and have to be replaced by a more
hands-on approach.\nBased on joint work with Pascal Maillard.\nSpeakers:\
nSarah Penington (University of Bath)
LOCATION:Mathematical Institute (L5)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/68e7866f-65f6-4b79-8cff-ff840116a4d7/
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DESCRIPTION:Talk:Branching random walk with non-local competition - Sarah
Penington (University of Bath)
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SUMMARY:Branching Brownian motion with selection and a free boundary probl
em - Sarah Penington (University of Bath)
DTSTART;VALUE=DATE-TIME:20190218T120000Z
DTEND;VALUE=DATE-TIME:20190218T130000Z
UID:https://talks.ox.ac.uk/talks/id/53327d3a-3bbc-459a-8ec0-3090b6d7f814/
DESCRIPTION:Consider a system of N particles moving according to Brownian
motions and branching at rate one. Each time a particle branches\, the par
ticle in the system furthest from the origin is killed. It turns out that
we can use results about a related free boundary problem to control the lo
ng term behaviour of this particle system for large N.\n\nThis is joint wo
rk with Julien Berestycki\, Eric Brunet and James Nolen.\nSpeakers:\nSarah
Penington (University of Bath)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/53327d3a-3bbc-459a-8ec0-3090b6d7f814/
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ACTION:display
DESCRIPTION:Talk:Branching Brownian motion with selection and a free bound
ary problem - Sarah Penington (University of Bath)
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