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math.PR2023★ 2 cited
Intertwining the Busemann process of the directed polymer model
Erik Bates, Wai-Tong Louis Fan, Timo Seppäläinen
We study the Busemann process and competition interfaces of the planar directed polymer model with i.i.d.\ weights on the vertices of the planar square lattice, in both the general…
math.PR2023
Latent mutations in the ancestries of alleles under selection
Wai-Tong Louis Fan, John Wakeley
We consider a single genetic locus with two alleles and in a large haploid population. The locus is subject to selection and two-way, or recurrent, mutation. Assuming t…