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Universality of asymptotically Ewens measures on partitions

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Universality of asymptotically Ewens measures on partitions
2.	Creator	Author's name, affiliation, country	James Yuanjie Zhao; Stanford University; United States
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Ewens sampling formula; Feller coupling; logarithmic combinatorial structures; perturbation; Poisson-Dirichlet limit; central limit theorem; Erdos-Turan theorem
3.	Subject	Subject classification	60F05; 60C05
4.	Description	Abstract	We give a criterion for functionals of partitions to converge to a universal limit under a class of measures that "behaves 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 an intuitive and easily-checked criterion; and (3) providing a new and much shorter proof of the limit theorems by taking advantage of the Feller coupling.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Stanford Graduate Fellowship
7.	Date	(YYYY-MM-DD)	2012-04-23
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1956
10.	Identifier	Digital Object Identifier	10.1214/ECP.v17-1956
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 17
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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