Sharp phase transition for Cox percolation
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2922 | |
| dc.contributor.author | Hirsch, Christian | |
| dc.contributor.author | Jahnel, Benedikt | |
| dc.contributor.author | Muirhead, Stephen | |
| dc.date.accessioned | 2022-07-08T13:04:39Z | |
| dc.date.available | 2022-07-08T13:04:39Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirements are that the environment has a finite range of dependence and satisfies a local boundedness condition, however the FKG inequality need not hold. The proof combines the OSSS inequality with a coarse-graining construction. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/9680 | |
| dc.identifier.uri | https://doi.org/10.34657/8718 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2922 | |
| dc.relation.issn | 2198-5855 | |
| 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 | |
| dc.subject.other | Cox point process | eng |
| dc.subject.other | OSSS inequality | eng |
| dc.subject.other | continuum percolation | eng |
| dc.subject.other | Poisson point process | eng |
| dc.subject.other | random environment | eng |
| dc.subject.other | Delaunay tessellation | eng |
| dc.title | Sharp phase transition for Cox percolation | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| dcterms.extent | 12 S. | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |