OxTalks will soon move to the new Halo platform and will become 'Oxford Events.' There will be a need for an OxTalks freeze. This was previously planned for Friday 14th November – a new date will be shared as soon as it is available (full details will be available on the Staff Gateway).
In the meantime, the OxTalks site will remain active and events will continue to be published.
If staff have any questions about the Oxford Events launch, please contact halo@digital.ox.ac.uk
In this talk, we prove a scaling limit for the size (both in terms of vertices and edges) of the largest components of a critical random intersection graph in which each individual is assigned to each community with a uniform probability p, all independently of each other. We show that the order of magnitude of the largest component depends significantly on the asymptotic behaviour of the ratio between the number of individuals and communities, while the limit random variables to which component sizes converge after rescaling are the same as in the Erdos-Renyi Random Graph. We further discuss how this result relates to the known scaling limits of critical inhomogeneous random graphs.
