Estimating fine-scale recombination maps of Drosophila from population genomic data is a
challenging problem, in particular because of the high background recombination rate. In …

Two-locus sampling probabilities have played a central role in devising an efficient
composite-likelihood method for estimating fine-scale recombination rates. Due to …

Population demographic history may be learned from contemporary genetic variation data.
Methods based on aggregating the statistics of many single loci into an allele frequency …

The multilocus conditional sampling distribution (CSD) describes the probability that an
additionally sampled DNA sequence is of a certain type, given that a collection of sequences …

Recombination is a powerful evolutionary process that shapes the genetic diversity
observed in the populations of many species. Reconstructing genealogies in the presence …

Wright-Fisher diffusions and their dual ancestral graphs occupy a central role in the study of
allele frequency change and genealogical structure, and they provide expressions, explicit …

Obtaining a closed-form sampling distribution for the coalescent with recombination is a
challenging problem. In the case of two loci, a new framework based on an asymptotic …

Duality plays an important role in population genetics. It can relate results from forwards-in-
time models of allele frequency evolution with those of backwards-in-time genealogical …

Ewens sampling formula (ESF) is a one-parameter family of probability distributions with a
number of intriguing combinatorial connections. This elegant closed-form formula first arose …

Widely used models in genetics include the Wright-Fisher diffusion and its moment dual,
Kingman's coalescent. Each has a multilocus extension but under neither extension is the …