[SeminarioDeProbabilidad] Seminario de Probabilidad y Procesos Estocásticos. Miércoles 19 de abril de 2023.

[María Clara Fittipaldi]

*Fecha*: Miércoles 19 de abril de 2023 a las 13h15.
*Lugar*: Salón 201-202 del Edificio Anexo, IIMAS.
*Expositora:* Minmin Wang.  Department of Mathematics, University of
Sussex.

Nos hablará sobre "Geometry of a large random intersection graph inside the
critical window".

*Abstract*: Random intersection graph is a simple random graph model that
incorporates community structures. To build such a graph, imagine there are
n individuals and m potential communities. Each individual joins a
community independently with probability p. The graph G(n, m, p) has n
nodes, corresponding to the n individuals. Each pair of these individuals
share an edge between them if they belong to a common community. The
critical threshold for the emergence of a giant component turns out to be
at p^2 ~ 1/nm. I’ll discuss some results that can help us to understand
what a large G(n, m, p) looks like at the critical threshold. .

Organizan
Laura Eslava
María Clara Fittipaldi
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