A long-range contact process in a random environment
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 3047 | |
| dc.contributor.author | Jahnel, Benedikt | |
| dc.contributor.author | Vu, Anh Duc | |
| dc.date.accessioned | 2026-03-26T09:05:43Z | |
| dc.date.available | 2026-03-26T09:05:43Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We study survival and extinction of a long-range infection process on a diluted one-dimensional lattice in discrete time. The infection can spread to distant vertices according to a Pareto distribution, however spreading is also prohibited at random times. We prove a phase transition in the recovery parameter via block arguments. This contributes to a line of research on directed percolation with long-range correlations in nonstabilizing random environments. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/33675 | |
| dc.identifier.uri | https://doi.org/10.34657/32743 | |
| dc.language.iso | eng | |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | |
| dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.3047 | |
| dc.relation.essn | 2198-5855 | |
| dc.relation.issn | 0946-8633 | |
| 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 | Contact process | eng |
| dc.subject.other | space-time random environment | eng |
| dc.subject.other | long-range directed percolation | eng |
| dc.subject.other | phase transition | eng |
| dc.subject.other | multiscale renormalization | eng |
| dc.title | A long-range contact process in a random environment | eng |
| dc.type | Report | |
| tib.accessRights | openAccess | |
| wgl.contributor | WIAS | |
| wgl.subject | Mathematik | |
| wgl.type | Report / Forschungsbericht / Arbeitspapier |
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