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Coalescents with Simultaneous Multiple Collisions

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Coalescents with Simultaneous Multiple Collisions
2.	Creator	Author's name, affiliation, country	Jason Schweinsberg; University of California, Berkeley
3.	Subject	Discipline(s)	Mathematics
3.	Subject	Keyword(s)	coalescence, ancestral processes, Poisson point processes, Markov processes, exchangeable random partitions.
3.	Subject	Subject classification	60J25, 60G09, 60G55, 05A18, 60J75.
4.	Description	Abstract	We study a family of coalescent processes that undergo ``simultaneous multiple collisions,'' meaning that many clusters of particles can merge into a single cluster at one time, and many such mergers can occur simultaneously. This family of processes, which we obtain from simple assumptions about the rates of different types of mergers, essentially coincides with a family of processes that Mohle and Sagitov obtain as a limit of scaled ancestral processes in a population model with exchangeable family sizes. We characterize the possible merger rates in terms of a single measure, show how these coalescents can be constructed from a Poisson process, and discuss some basic properties of these processes. This work generalizes some work of Pitman, who provides similar analysis for a family of coalescent processes in which many clusters can coalesce into a single cluster, but almost surely no two such mergers occur simultaneously.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2000-07-10
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/68
10.	Identifier	Digital Object Identifier	10.1214/EJP.v5-68
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 5
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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