Phase transitions for the Boolean model of continuum percolation for Cox point processes

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dc.bibliographicCitation.seriesTitleWIAS Preprintseng
dc.bibliographicCitation.volume2704
dc.contributor.authorJahnel, Benedikt
dc.contributor.authorTóbiás, András
dc.contributor.authorCali, Eli
dc.date.accessioned2022-06-30T12:54:13Z
dc.date.available2022-06-30T12:54:13Z
dc.date.issued2020
dc.description.abstractWe consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existence of subcritical regimes for the size of the cluster at the origin in terms of volume, diameter and number of points. Further, we prove uniqueness of the infinite cluster for sufficiently connected environments.eng
dc.description.versionpublishedVersioneng
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/9354
dc.identifier.urihttps://doi.org/10.34657/8392
dc.language.isoeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.doihttps://doi.org/10.20347/WIAS.PREPRINT.2704
dc.relation.issn2198-5855
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.ddc510
dc.subject.otherCox point processeseng
dc.subject.othercontinuum percolationeng
dc.subject.otherrandom environmenteng
dc.subject.otherBoolean modeleng
dc.subject.otherGilbert disk modeleng
dc.subject.otherrandom radiieng
dc.subject.othermomentseng
dc.subject.otherdiameter of clustereng
dc.subject.othervolume of clustereng
dc.subject.othernumber of points in clustereng
dc.subject.otheruniqueness of infinite clustereng
dc.subject.othercomplete coverageeng
dc.subject.otherergodicityeng
dc.subject.otherstabilizationeng
dc.subject.otherexponential stabilizationeng
dc.subject.otherpolynomial stabilizationeng
dc.subject.otherb-dependenceeng
dc.subject.otheressential connectednesseng
dc.subject.othershot-noise fieldseng
dc.subject.otherBoolean models on Boolean modelseng
dc.titlePhase transitions for the Boolean model of continuum percolation for Cox point processeseng
dc.typeReporteng
dc.typeTexteng
dcterms.extent27 S.
tib.accessRightsopenAccess
wgl.contributorWIAS
wgl.subjectMathematik
wgl.typeReport / Forschungsbericht / Arbeitspapier
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