High-dimensional asymptotics for percolation of Gaussian free field level sets
dc.contributor.author
Drewitz, Alexander
dc.contributor.author
Rodriguez, Pierre-Francois
dc.date.accessioned
2021-07-28T16:14:12Z
dc.date.available
2017-06-11T17:31:21Z
dc.date.available
2021-07-28T16:14:12Z
dc.date.issued
2015
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/EJP.v20-3416
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/101034
dc.identifier.doi
10.3929/ethz-b-000101034
dc.description.abstract
We consider the Gaussian free field on Zd, d≥3, and prove that the critical density for percolation of its level sets behaves like 1/d1+o(1) as d tends to infinity. Our proof gives the principal asymptotic behavior of the corresponding critical level h∗(d). Moreover, it shows that a related parameter h∗∗(d) introduced by Rodriguez and Sznitman in [23] is in fact asymptotically equivalent to h∗(d).
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/3.0/
dc.subject
Gaussian free field
en_US
dc.subject
Percolation
en_US
dc.subject
Level sets
en_US
dc.subject
Long-range dependence
en_US
dc.subject
Decoupling inequalities
en_US
dc.subject
High dimensions
en_US
dc.title
High-dimensional asymptotics for percolation of Gaussian free field level sets
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 3.0 Unported
dc.date.published
2016-06-04
ethz.journal.title
Electronic Journal of Probability
ethz.journal.volume
20
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
47
en_US
ethz.size
39 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Seattle, WA
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
2017-06-11T17:31:56Z
ethz.source
ECIT
ethz.identifier.importid
imp5936532fe82ef38679
ethz.ecitpid
pub:158684
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-14T16:08:27Z
ethz.rosetta.lastUpdated
2022-03-29T10:47:34Z
ethz.rosetta.versionExported
true
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