Averages for polygons formed by random lines in euclidean and hyperbolic planes
dc.contributor.author
dc.date.accessioned
2009-07-20T08:02:33Z
dc.date.available
2009-07-20T08:02:33Z
dc.date.created
1972
dc.identifier.citation
Santaló, L., Yañez, Y.(1972). Averages for polygons formed by random lines in euclidean and hyperbolic planes. Journal of Applied Probability, 9, 140-157. Used by permission of the publisher
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0021-9002
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dc.description.abstract
We consider a countable number of independent random uniform lines in the hyperbolic plane (in the sense of the theory of geometrical probability) which divide the plane into an infinite number of convex polygonal regions. The main purpose of the paper is to compute the mean number of sides, the mean perímeter, the mean area and the second order moments of these
quantities of such polygonal regions. For the Euclidean plane the problema has been considered by several authors, mainly Miles, who has taken it as the starting point of a series of papers which are the IMSÍS of the so-called stochastic geometry
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dc.format.mimetype
application/pdf
dc.language.iso
Anglès
dc.publisher
Applied Probability Trust
dc.relation.ispartof
Journal of Applied Probability, 1972, vol. 9, p. 140-157
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Publicacions
dc.rights
Tots els drets reservats
dc.subject
dc.title
Averages for polygons formed by random lines in euclidean and hyperbolic planes
dc.type
Article
dc.rights.accessRights
info:eu-repo/semantics/openAccess