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Insertion and deletion tolerance of point processes

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Insertion and deletion tolerance of point processes
2.	Creator	Author's name, affiliation, country	Alexander E. Holroyd; Microsoft Research; United States
2.	Creator	Author's name, affiliation, country	Terry Soo; University of Warwick; United Kingdom
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	point process, finite energy condition, stable matching, continuum percolation
3.	Subject	Subject classification	60G55
4.	Description	Abstract	We develop a theory of insertion and deletion tolerance for point processes. A process is insertion-tolerant if adding a suitably chosen random point results in a point process that is absolutely continuous in law with respect to the original process. This condition and the related notion of deletion-tolerance are extensions of the so-called finite energy condition for discrete random processes. We prove several equivalent formulations of each condition, including versions involving Palm processes. Certain other seemingly natural variants of the conditions turn out not to be equivalent. We illustrate the concepts in the context of a number of examples, including Gaussian zero processes and randomly perturbed lattices, and we provide applications to continuum percolation and stable matching.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	NSERC, Microsoft Research
7.	Date	(YYYY-MM-DD)	2013-08-11
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/2621
10.	Identifier	Digital Object Identifier	10.1214/EJP.v18-2621
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 18
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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