Crane [Statist. Sci. 31 (2016) 1–19] provides an excellent review of Ewens’ sampling formula (henceforth, ESF), its applications in and connections with various subjects. This note intends to extend the discussion a little bit. The focus will be on nonequilibrium ESF involving diffusion processes, ESF with symmetric selection and asymptotics of ESF. The references listed are by no means exhaustive.
Shui Feng. "Diffusion Processes and the Ewens Sampling Formula." Statist. Sci. 31 (1) 20 - 22, February 2016. https://doi.org/10.1214/15-STS535