Webinar: Mia Deijfen (SU) October 12

The first webinar of the Fall term is given by Mia Deijfen (SU):

When: October 12, 2022, 11.00 – 12.00

Where: Zoom ID: 638 9309 4112

Titel: Competing growth on random graphs

Abstract: Competing first passage percolation describes the growth of two competing infections on an underlying graph structure. The main question is if the infection types can grow to occupy large parts of the graph simultaneously. Empirical networks typically exhibit a large degree of heterogeneity in the vertex degree, and it is therefore interesting to study the model on graphs that capture this. One such graph model is the configuration model, where the degrees can have an arbitrary distribution. In this case, it turns out that both the intensities of the infections and the degree distribution plays a role in determining the outcome of the competition. I will give a survey of existing results and describe open problems.