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dc.contributor.author
Sznitman, Alain-Sol
dc.date.accessioned
2021-07-28T15:41:54Z
dc.date.available
2017-06-08T21:46:48Z
dc.date.available
2021-07-28T15:41:54Z
dc.date.issued
2009
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/EJP.v14-679
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/15463
dc.identifier.doi
10.3929/ethz-b-000015463
dc.description.abstract
We consider simple random walk on a discrete cylinder with base a large d-dimensional torus of side-length N, when d is two or more. We develop a stochastic domination control on the local picture left by the random walk in boxes of side-length almost of order N, at certain random times comparable to the square of the number of sites in the base. We show a domination control in terms of the trace left in similar boxes by random interlacements in the infinite (d+1)-dimensional cubic lattice at a suitably adjusted level. As an application we derive a lower bound on the disconnection time of the discrete cylinder, which as a by-product shows the tightness of the laws of the ratio of the square of the number of sites in the base to the disconnection time. This fact had previously only been established when d is at least 17.
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
disconnection
en_US
dc.subject
random walks
en_US
dc.subject
random interlacements
en_US
dc.subject
discrete cylinders
en_US
dc.title
On the domination of random walk on a discrete cylinder by random interlacements
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 3.0 Unported
dc.date.published
2016-06-01
ethz.journal.title
Electronic Journal of Probability
ethz.journal.volume
14
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
1670
en_US
ethz.pages.end
1704
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
2017-06-08T21:47:06Z
ethz.source
ECIT
ethz.identifier.importid
imp59364c52c3d7e34553
ethz.ecitpid
pub:27262
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2017-07-12T11:19:05Z
ethz.rosetta.lastUpdated
2021-02-14T05:45:02Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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