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Local Central Limit Theorems in Stochastic Geometry

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Local Central Limit Theorems in Stochastic Geometry
2.	Creator	Author's name, affiliation, country	Mathew D. Penrose; University of Bath; United Kingdom
2.	Creator	Author's name, affiliation, country	Yuval Peres; Microsoft Research; United States
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Local central limit theorem; stochastic geometry; percolation; random geometric graph; nearest neighbours
3.	Subject	Subject classification	60F05, 60D05, 60K35, 05C80
4.	Description	Abstract	We give a general local central limit theorem for the sum of two independent random variables, one of which satisfies a central limit theorem while the other satisfies a local central limit theorem with the same order variance. We apply this result to various quantities arising in stochastic geometry, including: size of the largest component for percolation on a box; number of components, number of edges, or number of isolated points, for random geometric graphs; covered volume for germ-grain coverage models; number of accepted points for finite-input random sequential adsorption; sum of nearest-neighbour distances for a random sample from a continuous multidimensional distribution.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	Alexander von Humboldt Foundation
7.	Date	(YYYY-MM-DD)	2011-12-03
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/968
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-968
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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