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DTSTART:20260329T030000
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DTSTAMP:20260515T124604Z
UID:69121497774d3629907214@ist.ac.at
DTSTART:20260518T160000
DTEND:20260518T170000
DESCRIPTION:Speaker: Emmanuel Kammerer\nhosted by Laszlo Erdös & Jan Maas\
 nAbstract: Consider an SIR model on the complete graph starting with one i
 nfected vertex and n sane vertices. We draw an edge between two vertices w
 hen one infects another. What does the tree look like at the end of the ep
 idemic? This kind of tree fits into the framework of uniform attachment tr
 ees with freezing\, a model of random trees which generalises uniform atta
 chment trees where\, besides the uniform attachment mechanism\, we introdu
 ce a "freezing" mechanism where new vertices cannot attach to frozen verti
 ces. We obtain the scaling limit of the total height of the infection tree
  depending on the infection rate. The asymptotic behaviour of the total he
 ight satisfies a phase transition of order 2. This talk is based on a join
 t work with Igor Kortchemski and Delphin Snizergues.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Emmanuel Kammerer: The height of the infection tree
URL:https://talks-calendar.ista.ac.at/events/6351
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