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Extremes of the supercritical Gaussian Free Field
| dc.contributor.author | Chiarini, Alberto | |
| dc.contributor.author | Cipriani, Alessandra | |
| dc.contributor.author | Hazra, Rajat Subhra | |
| dc.date.accessioned | 2016-05-21T05:42:09Z | |
| dc.date.available | 2019-06-28T08:24:06Z | |
| 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.identifier.uri | https://oa.tib.eu/renate/handle/123456789/3391 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | eng |
| dc.relation.uri | http://arxiv.org/abs/1504.07819 | |
| 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 | Probability | 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 |