Extremes of the supercritical Gaussian free field
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 2105 | |
| dc.contributor.author | Chiarini, Alberto | |
| dc.contributor.author | Cipriani, Alessandra | |
| dc.contributor.author | Hazra, Rajat Subhra | |
| dc.date.available | 2019-06-28T08:22:42Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution. The result holds both for the infinite-volume field as well as the field with zero boundary conditions. We show that these results follow from an interesting application of the Stein-Chen method from Arratia et al. (1989). | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 2198-5855 | |
| dc.identifier.uri | https://doi.org/10.34657/2373 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3335 | |
| 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 | Discrete Gaussian free field | eng |
| dc.subject.other | extreme value theory | eng |
| dc.subject.other | Gumbel distribution | eng |
| dc.subject.other | Stein-Chen method | eng |
| dc.title | Extremes of the supercritical Gaussian free field | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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