The random connection model in high dimensions

Consider a continuum percolation model in which each pair of points of a d-dimensional Poisson process of intensity [lambda] is connected with a probability which is a function g of the distance between them. We show that under a mild regularity condition on g, the critical value of [lambda], above which an infinite cluster exists a.s., is asymptotic to ([integral operator]Rd g(x)dx)-1 as d --> [infinity].

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Year of publication:	1997
Authors:	Meester, Ronald ; Penrose, Mathew D. ; Sarkar, Anish
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 35.1997, 2, p. 145-153
Publisher:	Elsevier
Keywords:	Continuum percolation Critical value High dimensions

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005313788