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dc.contributor.author
Powell, Ellen
dc.date.accessioned
2021-08-02T19:25:42Z
dc.date.available
2018-06-05T15:17:31Z
dc.date.available
2018-06-07T11:01:12Z
dc.date.available
2021-08-02T14:25:06Z
dc.date.available
2021-08-02T19:25:42Z
dc.date.issued
2018
dc.identifier.issn
1083-6489
dc.identifier.other
10.1214/18-EJP157
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/267611
dc.identifier.doi
10.3929/ethz-b-000267611
dc.description.abstract
We show that, for general convolution approximations to a large class of log-correlated fields, including the 2d Gaussian free field, the critical chaos measures with derivative normalisation converge to a limiting measure μ′. This limiting measure does not depend on the choice of approximation. Moreover, it is equal to the measure obtained using the Seneta–Heyde renormalisation at criticality, or using a white-noise approximation to the field.
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 multiplicative chaos
en_US
dc.subject
random measures
en_US
dc.subject
Liouville measure
en_US
dc.subject
Gaussian free field
en_US
dc.title
Critical Gaussian chaos: convergence and uniqueness in the derivative normalisation
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
Electronic Journal of Probability
ethz.journal.volume
23
en_US
ethz.journal.abbreviated
Electron. J. Probab.
ethz.pages.start
31
en_US
ethz.size
26 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
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::09453 - Werner, Wendelin / Werner, Wendelin
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::09453 - Werner, Wendelin / Werner, Wendelin
ethz.date.deposited
2018-06-05T15:17:37Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2018-06-07T11:01:14Z
ethz.rosetta.lastUpdated
2019-02-03T02:04:45Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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