Exponential moments for planar tessellations

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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.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2572, ISSN 2198-5855eng
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.subjectPoisson–Voronoi tessellationeng
dc.subjectPoisson–Delaunay tessellationeng
dc.subjectPoisson line tessellationeng
dc.subjectJohnson–Mehl tessellationeng
dc.subjectManhattan grideng
dc.subjectCox–Voronoi tessellationeng
dc.subjectnested tessellationeng
dc.subjectiterated tessellationeng
dc.subjectexponential momentseng
dc.subjecttotal edge lengtheng
dc.subjectnumber of cellseng
dc.subjectnumber of edgeseng
dc.subjectPalm calculuseng
dc.subject.ddc510eng
dc.titleExponential moments for planar tessellationseng
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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