Events Archive

Freitag, 13. Januar 2023, 15 c.t., Goethe-Universität Frankfurt/M.

16:00 Uhr Kaffee zum Beginn

16:45 Uhr Dr. Marcel Ortgiese, University of Bath

“The contact process on tree-like graphs”

The contact process is a simple model for the spread of an infection in a structured population. I will first survey some of the recent results for the contact process when the underlying graph is either a finite or infinite random graph that is locally tree-like. The main focus of the talk will be to understand what changes when the underlying graph also evolves over time. We will look both at the case when edges update independently of the infection, but also the dependent case. In the latter case, the random graph reacts to the infection by only resampling connections to neighbours that are infected. The main question we will answer is first of all whether the contact process exhibits a phase transition. If it does, we will look at how the phase transition depends on the underlying graph dynamics.

Ort: Robert-Mayer-Str. 10, Campus Bockenheim, Frankfurt/Main, Raum 711 gr.