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Continuum percolation for Gibbs point processes

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Continuum percolation for Gibbs point processes
2.	Creator	Author's name, affiliation, country	Kaspar Stucki; Universität Göttingen; Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Gibbs point process; Percolation; Boolean model; Conditional intensity
3.	Subject	Subject classification	60G55; 60K35
4.	Description	Abstract	We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point processes there exists a critical activity, such that percolation occurs a.s. above criticality. For locally stable Gibbs point processes we show a converse result, i.e. they do not percolate a.s. at low activity.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	SNF Grant 200021-137527 and DFG-SNF Research Group FOR 916
7.	Date	(YYYY-MM-DD)	2013-08-07
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/2837
10.	Identifier	Digital Object Identifier	10.1214/ECP.v18-2837
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 18
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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