Source:http://linkedlifedata.com/resource/pubmed/id/19905556
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| Predicate | Object |
|---|---|
| rdf:type | |
| lifeskim:mentions | |
| pubmed:issue |
14
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| pubmed:dateCreated |
2009-11-12
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| pubmed:abstractText |
We compute exactly the mean perimeter and area of the convex hull of N independent planar Brownian paths each of duration T, both for open and closed paths. We show that the mean perimeter <L(N)>=alpha N sqrt[T] and the mean area <A(N)>=beta(N)T for all T. The prefactors alpha N and beta N, computed exactly for all N, increase very slowly (logarithmically) with increasing N. This slow growth is a consequence of extreme value statistics and has interesting implications in an ecological context in estimating the home range of a herd of animals with a population size N.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Oct
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| pubmed:issn |
1079-7114
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| pubmed:author | |
| pubmed:issnType |
Electronic
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| pubmed:day |
2
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| pubmed:volume |
103
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
140602
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| pubmed:year |
2009
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| pubmed:articleTitle |
Convex hull of N planar Brownian motions: exact results and an application to ecology.
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| pubmed:affiliation |
Laboratoire de Physique Théorique et Modèles Statistiques (UMR CNRS 8626) Université Paris-Sud, Bâtiment 100, 91405 Orsay Cedex, France.
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| pubmed:publicationType |
Journal Article
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