On the Speed of Coming Down from Infinity for $\Xi$-Coalescent Processes
On the Speed of Coming Down from Infinity for $\Xi$-Coalescent Processes
The $\Xi$-coalescent processes were initially studied by Möhle and Sagitov (2001), and introduced by Schweinsberg (2000) in their full generality. They arise in the mathematical population genetics as the complete class of scaling limits for genealogies of Cannings' models. The $\Xi$-coalescents generalize $\Lambda$-coalescents, where now simultaneous multiple collisions of blocks …