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Geometric preferential attachment in non-uniform metric spaces

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Geometric preferential attachment in non-uniform metric spaces
2.	Creator	Author's name, affiliation, country	Jonathan H Jordan; University of Sheffield; United Kingdom
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	geometric random graphs; preferential attachment
3.	Subject	Subject classification	05C82; 60D05
4.	Description	Abstract	We investigate the degree sequences of geometric preferential attachment graphs in general compact metric spaces. We show that, under certain conditions on the attractiveness function, the behaviour of the degree sequence is similar to that of the preferential attachment with multiplicative fitness models investigated by Borgs et al. When the metric space is finite, the degree distribution at each point of the space converges to a degree distribution which is an asymptotic power law whose index depends on the chosen point. For infinite metric spaces, we can show that for vertices in a Borel subset of S of positive measure the degree distribution converges to a distribution whose tail is close to that of a power law whose index again depends on the set.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2013-01-14
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF, Untitled ()
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/2271
10.	Identifier	Digital Object Identifier	10.1214/EJP.v18-2271
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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