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The volume fraction of a Poisson germ model with maximally non-overlapping spherical grains

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dc.contributor.authorDaley, Daryl
dc.contributor.authorStoyan, H
dc.contributor.authorStoyan, D
dc.date.accessioned2015-12-13T23:41:27Z
dc.date.available2015-12-13T23:41:27Z
dc.date.issued1999
dc.date.updated2015-12-12T09:32:29Z
dc.description.abstractThis paper considers a germ-grain model for a random system of non-overlapping spheres in ℝd for d = 1, 2 and 3. The centres of the spheres (i.e. the 'germs' for the 'grains') form a stationary Poisson process; the spheres result from a uniform growth p
dc.identifier.issn0001-8678
dc.identifier.urihttp://hdl.handle.net/1885/94911
dc.publisherApplied Probability Trust
dc.sourceAdvances in Applied Probability
dc.subjectKeywords: Asymptotic stability; Computer simulation; Grain growth; Mathematical models; Random processes; Spheres; Volume fraction; Dynamic lilypond models; Germ-grain models; Non-overlapping spheres; Stienen models; Poisson distribution Dynamic lilypond model; Germ-grain model; Growth model; Non-overlapping spheres; Poisson process; Stienen model; Volume fraction
dc.titleThe volume fraction of a Poisson germ model with maximally non-overlapping spherical grains
dc.typeJournal article
local.bibliographicCitation.lastpage624
local.bibliographicCitation.startpage610
local.contributor.affiliationDaley, Daryl, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationStoyan, H, TU Bergakademie Freiburg
local.contributor.affiliationStoyan, D, Institut fur Stochastik
local.contributor.authoruidDaley, Daryl, u7000591
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationMigratedxPub24618
local.identifier.citationvolume31
local.identifier.scopusID2-s2.0-0033184502
local.type.statusPublished Version

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