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SUMMARY:Critical scaling limit of the random intersection graph -- POSTPON
ED TO NEXT TERM - Lorenzo Federico (University of Warwick)
DTSTART;VALUE=DATE-TIME:20191125T120000Z
DTEND;VALUE=DATE-TIME:20191125T130000Z
UID:https://talks.ox.ac.uk/talks/id/e8763c31-3d03-442d-b26f-a6d471576a7e/
DESCRIPTION:\nStatus: This talk has been cancelled\nIn this talk\, we prov
e a scaling limit for the size (both in terms of vertices and edges) of th
e largest components of a critical random intersection graph in which each
individual is assigned to each community with a uniform probability p\, a
ll independently of each other. We show that the order of magnitude of the
largest component depends significantly on the asymptotic behaviour of th
e ratio between the number of individuals and communities\, while the limi
t random variables to which component sizes converge after rescaling are t
he same as in the Erdos-Renyi Random Graph. We further discuss how this re
sult relates to the known scaling limits of critical inhomogeneous random
graphs.\nSpeakers:\nLorenzo Federico (University of Warwick)
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/e8763c31-3d03-442d-b26f-a6d471576a7e/
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DESCRIPTION:Talk:Critical scaling limit of the random intersection graph -
- POSTPONED TO NEXT TERM - Lorenzo Federico (University of Warwick)
TRIGGER:-PT1H
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