49 citations · 157 across the 34 of their papers we have counts for
3 papers · 2 filters
Some large deviations in Kingman's coalescent
Andrej Depperschmidt, Peter Pfaffelhuber, Annika Scheuringer
Kingman's coalescent is a random tree that arises from classical population genetic models such as the Moran model. The individuals alive in these models correspond to the leaves i…
Scaling limits of spatial compartment models for chemical reaction networks
Peter Pfaffelhuber, Lea Popovic
We study the effects of fast spatial movement of molecules on the dynamics of chemical species in a spatially heterogeneous chemical reaction network using a compartment model. The…
The infinitely many genes model with horizontal gene transfer
Franz Baumdicker, Peter Pfaffelhuber
The genome of bacterial species is much more flexible than that of eukaryotes. Moreover, the distributed genome hypothesis for bacteria states that the total number of genes presen…