Max-Linear Models on Infinite Graphs Generated by Bernoulli Bond Percolation
| dc.bibliographicCitation.seriesTitle | Oberwolfach Preprints (OWP) | eng |
| dc.bibliographicCitation.volume | 9 | |
| dc.contributor.author | Klüppelberg, Claudia | |
| dc.contributor.author | Sönmez, Ercan | |
| dc.date.accessioned | 2024-10-16T15:05:26Z | |
| dc.date.available | 2024-10-16T15:05:26Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | We extend previous work of max-linear models on finite directed acyclic graphs to infinite graphs, and investigate their relations to classical percolation theory. We formulate results for the oriented square lattice graph Z² and nearest neighbor bond percolation. Focus is on the dependence introduced by this graph into the max-linear model. As a natural application we consider communication networks, in particular, the distribution of extreme opinions in social networks. | |
| dc.description.version | publishedVersion | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/16898 | |
| dc.identifier.uri | https://doi.org/10.34657/15920 | |
| dc.language.iso | eng | |
| dc.publisher | Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach | |
| dc.relation.doi | https://doi.org/10.14760/OWP-2018-09 | |
| dc.relation.issn | 1864-7596 | |
| 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. | |
| 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. | |
| dc.subject.ddc | 510 | |
| dc.subject.other | Bernoulli bond percolation | eng |
| dc.subject.other | Extreme value theory | eng |
| dc.subject.other | Graphical model | eng |
| dc.subject.other | Infinite graph | eng |
| dc.subject.other | Percolation | eng |
| dc.subject.other | Recursive max-linear model | eng |
| dc.title | Max-Linear Models on Infinite Graphs Generated by Bernoulli Bond Percolation | |
| dc.type | Report | |
| dc.type | Text |
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