The total mass of super-Brownian motion upon exiting balls and Sheu's compact support condition
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1878 | |
| dc.contributor.author | Hesse, Marion | |
| dc.contributor.author | Kyprianou, Andreas | |
| dc.date.accessioned | 2016-03-24T17:37:05Z | |
| dc.date.available | 2019-06-28T08:13:32Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We study the total mass of a d-dimensional super-Brownian motion as it first exits an increasing sequence of balls. The total mass process is a time-inhomogeneous continuous-state branching process, where the increasing radii of the balls are taken as the time-parameter. We characterise its time-dependent branching mechanism and show that it converges, as time goes to infinity, towards the branching mechanism of the total mass of a one-dimensional super-Brownian motion as it first crosses above an increasing sequence of levels. Our results identify the compact support criterion in Sheu (1994) as Grey's condition (1974) for the aforementioned limiting branching mechanism. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/3359 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2932 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This 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.license | Dieses 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.ddc | 510 | eng |
| dc.subject.other | Super-Brownian motion | eng |
| dc.subject.other | exit measures | eng |
| dc.subject.other | time-dependent continuous state branching processes | eng |
| dc.subject.other | compact support condition | eng |
| dc.title | The total mass of super-Brownian motion upon exiting balls and Sheu's compact support condition | eng |
| dc.type | Report | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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