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dc.contributor.author
Sznitman, Alain-Sol
dc.date.accessioned
2021-07-28T15:29:46Z
dc.date.available
2017-06-12T07:59:03Z
dc.date.available
2021-07-28T15:29:46Z
dc.date.issued
2016
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/16-EJP4563
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/117668
dc.identifier.doi
10.3929/ethz-b-000117668
dc.description.abstract
In the present article we consider a general enough set-up and obtain a refinement of the coupling between the Gaussian free field and random interlacements recently constructed by Titus Lupu in [9]. We apply our results to level-set percolation of the Gaussian free field on a (d+1)-regular tree, when d≥2, and derive bounds on the critical value h∗. In particular, we show that 0<h∗<√2u∗, where u∗ denotes the critical level for the percolation of the vacant set of random interlacements on a (d+1)-regular tree.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Institute of Mathematical Statistics
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Gaussian free field
en_US
dc.subject
Random interlacements
en_US
dc.subject
Coupling
en_US
dc.subject
Level-set percolation
en_US
dc.title
Coupling and an application to level-set percolation of the Gaussian free field
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2016-04-22
ethz.journal.title
Electronic Journal of Probability
ethz.journal.volume
21
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
35
en_US
ethz.size
26 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Beachwood, OH
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03320 - Sznitman, Alain-Sol (emeritus) / Sznitman, Alain-Sol (emeritus)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::03320 - Sznitman, Alain-Sol (emeritus) / Sznitman, Alain-Sol (emeritus)
ethz.date.deposited
2017-06-12T08:02:40Z
ethz.source
ECIT
ethz.identifier.importid
imp5936547d87a2565371
ethz.ecitpid
pub:179585
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-12T14:17:24Z
ethz.rosetta.lastUpdated
2021-02-14T14:19:47Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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