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Point shift characterization of Palm measures on Abelian groups

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Point shift characterization of Palm measures on Abelian groups
2.	Creator	Author's name, affiliation, country	Matthias Heveling; Karlsruhe University
2.	Creator	Author's name, affiliation, country	Gunter Last; Karlsruhe University
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	point process, random measure, stationarity, point-stationarity, Palm measure, matching, bijective point map
3.	Subject	Subject classification	Primary 60G55, 60G57
4.	Description	Abstract	Our first aim in this paper is to characterize Palm measures of stationary point processes through point stationarity. This generalizes earlier results from the Euclidean case to the case of an Abelian group. While a stationary point process looks statistically the same from each site, a point stationary point process looks statistically the same from each of its points. Even in the Euclidean case our proof will simplify some of the earlier arguments. A new technical result of some independent interest is the existence of a complete countable family of matchings. Using a change of measure we will generalize our results to discrete random measures. In the Euclidean case we will finally treat general random measures by means of a suitable approximation.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2007-02-04
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/394
10.	Identifier	Digital Object Identifier	10.1214/EJP.v12-394
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 12
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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