A Month in Paris and some Spatial Mixing

Abstract: In November I spent a research visit in Paris at MAP5 and Inria, where between cafés, croissants, and getting lost in charming side streets, I actually managed to do some mathematics. In this talk I’ll give a short overview of a new project that began during that visit. The topic is spatial mixing in Gibbs point processes and spatial birth–death processes.

We’ll first discuss what spatial mixing and ergodicity mean in the context of point processes. Then we’ll see why establishing mixing for Gibbs processes is notoriously difficult, and how this motivates looking instead at spatial birth–death processes, where such properties can be shown much more easily.

Mathematics

Audience: general audience

Gothenburg PhD seminar

Series comments: Rooms and times may vary, please check the latest update. In-person only.