Júlia Komjáthy: Shape of epidemic curves in spatial scale free networks

I will present recent results on non-Markovian degree dependent first passage percolation, on spatial networks where degrees are following some power-law and long-range edges are also present. Geometric Inhomogeneus Random graph, Hyperbolic Random Graphs, and Scale free percolation fall into this model class.
For the first passage percolation, (which models a spread of infection or information) we allow the transmission times across edges to depend on the degrees involved, also containing a (non-Markovian) independent random component.
We characterise the possible growth rates of the number of sites occupied by time t, aka the epidemic curve.

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