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Descending chains, the lilypond model, and mutual-nearest-neighbour matching

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dc.contributor.authorDaley, Daryl
dc.contributor.authorLast, Gunter
dc.date.accessioned2015-12-13T23:04:04Z
dc.date.issued2005
dc.date.updated2015-12-12T07:53:11Z
dc.description.abstractWe consider a hard-sphere model in ℝd generated by a stationary point process N and the lilypond growth protocol: at time 0, every point of N starts growing with unit speed in all directions to form a system of balls in which any particular ball ceases
dc.identifier.issn0001-8678
dc.identifier.urihttp://hdl.handle.net/1885/85205
dc.publisherApplied Probability Trust
dc.sourceAdvances in Applied Probability
dc.subjectKeywords: Algorithms; Finite element method; Integral equations; Mathematical models; Poisson distribution; Probability distributions; Set theory; Descending chain; Hard-sphere model; Point process; Stationarity; Random processes Descending chain; Hard-sphere model; Lilypond model; Palm probability; Percolation; Point process; Stationarity
dc.titleDescending chains, the lilypond model, and mutual-nearest-neighbour matching
dc.typeJournal article
local.bibliographicCitation.issue3
local.bibliographicCitation.lastpage628
local.bibliographicCitation.startpage604
local.contributor.affiliationDaley, Daryl, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationLast, Gunter, University of Karlsruhe
local.contributor.authoruidDaley, Daryl, u7000591
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010406 - Stochastic Analysis and Modelling
local.identifier.ariespublicationMigratedxPub13474
local.identifier.citationvolume37
local.identifier.doi10.1239/aap/1127483738
local.identifier.scopusID2-s2.0-27144499336
local.type.statusPublished Version

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