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Generalised Stable Fleming-Viot Processes as Flickering Random Measures

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Generalised Stable Fleming-Viot Processes as Flickering Random Measures
2.	Creator	Author's name, affiliation, country	Matthias Birkner; University Mainz; Germany
2.	Creator	Author's name, affiliation, country	Jochen Blath; Technical University Berlin; Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Generalised Fleming-Viot process, flickering random measure, measure-valued diffusion, lookdown construction, wandering random measure, Neveu superprocess, path properties, tightness, Skorohod topology
3.	Subject	Subject classification	60G57, 60G17
4.	Description	Abstract	We study some remarkable path-properties of generalised stable Fleming-Viot processes (including the so-called spatial Neveu superprocess), inspired by the notion of a "wandering random measure" due to Dawson and Hochberg (1982). In particular, we make use of Donnelly and Kurtz' (1999) modified lookdown construction to analyse their longterm scaling properties, exhibiting a rare natural example of a scaling family of probability laws converging in f.d.d. sense, but not weakly w.r.t. any of Skorohod's topologies on path space. This phenomenon can be explicitly described and intuitively understood in terms of "sparks", leading to the concept of a "flickering random measure". In particular, this completes results of Fleischmann and Wachtel (2006) about the spatial Neveu process and complements results of Dawson and Hochberg (1982) about the classical Fleming Viot process.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-11-03
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/712
10.	Identifier	Digital Object Identifier	10.1214/EJP.v14-712
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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