A lower bound for disconnection by random interlacements
dc.contributor.author
Li, Xinyi
dc.contributor.author
Sznitman, Alain-Sol
dc.date.accessioned
2021-07-28T16:17:26Z
dc.date.available
2017-06-11T05:29:41Z
dc.date.available
2021-07-28T16:17:26Z
dc.date.issued
2014
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/EJP.v19-3067
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/81020
dc.identifier.doi
10.3929/ethz-b-000081020
dc.description.abstract
We consider the vacant set of random interlacements on Zd, with d bigger or equal to 3, in the percolative regime. Motivated by the large deviation principles obtained in our recent work arXiv:1304.7477, we investigate the asymptotic behavior of the probability that a large body gets disconnected from infinity by the random interlacements. We derive an asymptotic lower bound, which brings into play tilted interlacements, and relates the problem to some of the large deviations of the occupation-time profile considered in arXiv:1304.7477.
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
Random interlacements
en_US
dc.subject
Disconnection
en_US
dc.subject
Large deviations
en_US
dc.title
A lower bound for disconnection by random interlacements
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
19
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
17
en_US
ethz.size
26 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
2017-06-11T05:33:26Z
ethz.source
ECIT
ethz.identifier.importid
imp593651aa5ae9642947
ethz.ecitpid
pub:127408
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-14T18:16:34Z
ethz.rosetta.lastUpdated
2022-03-29T10:47:35Z
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true
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