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SUMMARY:Scaling limits of multi-type Markov Branching Trees - Robin Stephe
nson (University of Sheffield)
DTSTART;VALUE=DATE-TIME:20220216T120000Z
DTEND;VALUE=DATE-TIME:20220216T130000Z
UID:https://talks.ox.ac.uk/talks/id/b30df359-9194-458b-9d6c-e1f17ef941fd/
DESCRIPTION:Consider a population where individuals have two characteristi
cs: a size\, which is a positive integer\, and a type\, which is a member
of a finite set. This population reproduces in a Galton-Watson fashion\, w
ith one additional condition: given that an individual has size $n$\, the
sum of the sizes of its children is less than or equal to n. We call multi
-type Markov branching tree the family tree of such a population.\n\nWe sh
ow that under some assumptions about the splitting rates\, Markov branchin
g trees have scaling limits in distribution which are self-similar fragmen
tation trees\, monotype or multi-type.\n\nWe then give two applications: t
he scaling limits of some growth models of random trees\, and new results
on the scaling limits of multi-type Galton-Watson trees.\n\nThis is joint
work with Bénédicte Haas.\n\nSpeakers:\nRobin Stephenson (University of
Sheffield)
LOCATION:Mathematical Institute (Room L3)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/b30df359-9194-458b-9d6c-e1f17ef941fd/
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DESCRIPTION:Talk:Scaling limits of multi-type Markov Branching Trees - Rob
in Stephenson (University of Sheffield)
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