12.11.2018 16:30 Kilian Matzke (LMU) :
The Random Connection Model at Criticality B 252 (Theresienstr. 39, 80333 München)

We consider the random connection model, which is a continuum percolation model. After introducing the model along with some basic tools, we adapt the lace expansion to the framework of the underlying continuum space Poisson point process. This allows us to derive the triangle condition above the upper critical dimension and furthermore to establish the infra-red bound. From this, mean-field behavior of the model can be deduced.