Exponential moments for planar tessellations

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2572
dc.contributor.authorTóbiás, András
dc.contributor.authorJahnel, Benedikt
dc.date.accessioned2019-03-09T03:38:24Z
dc.date.available2019-06-28T08:10:40Z
dc.date.issued2019
dc.description.abstractIn this paper we show existence of all exponential moments for the total edge length in a unit disc for a family of planar tessellations based on Poisson point processes. Apart from classical such tessellations like the PoissonVoronoi, PoissonDelaunay and Poisson line tessellation, we also treat the JohnsonMehl tessellation, Manhattan grids, nested versions and Palm versions. As part of our proofs, for some planar tessellations, we also derive existence of exponential moments for the number of cells and the number of edges intersecting the unit disk.eng
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/2341
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/2755
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastikeng
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2572
dc.relation.issn0946-8633eng
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.subject.ddc510eng
dc.subject.otherPoisson–Voronoi tessellationeng
dc.subject.otherPoisson–Delaunay tessellationeng
dc.subject.otherPoisson line tessellationeng
dc.subject.otherJohnson–Mehl tessellationeng
dc.subject.otherManhattan grideng
dc.subject.otherCox–Voronoi tessellationeng
dc.subject.othernested tessellationeng
dc.subject.otheriterated tessellationeng
dc.subject.otherexponential momentseng
dc.subject.othertotal edge lengtheng
dc.subject.othernumber of cellseng
dc.subject.othernumber of edgeseng
dc.subject.otherPalm calculuseng
dc.titleExponential moments for planar tessellationseng
dc.typeReporteng
dc.typeTexteng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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