CONVERGENCE TO THE COALESCENT WITH SIMULTANEOUS MULTIPLE MERGERS

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A coalescent model for the effect of advantageous mutations on the genealogy of a population (2004, methodology): “For more details, see Sagitov [26, 27 ] ,M o¨ hle and Sagitov [21], and Schweinsberg [29].”
A modified lookdown construction for the Xi-Fleming-Viot process with mutation and populations with recurrent bottlenecks (2008, methodology): “…alternative representations of the Ξ0-Fleming-Viot generator, leading to the distributional duality to the Ξ-coalescent discussed in Section 5, and we show that they generate a Markov semigroup on M1(E), hence leading to a classical construction of the Ξ0-Fleming-Viot process as a Markov process.”