  We introduce a universality theorem for functionals of measures on partitions
which "behave like" the Ewens measure. Various limit theorems for the Ewens
measure, most notably the Poisson-Dirichlet limit for the longest parts, the
functional central limit theorem for the number of parts, and the Erdos-Turan
limit for the product of parts, extend to these asymptotically Ewens measures
as easy corollaries. Our major contributions are: (1) extending the classes of
measures for which these limit theorems hold; (2) characterising universality
by a single, easily-checked criterion; and (3) greatly shortening the proofs of
the limit theorems using the Feller coupling.
