Conformal invariance of Spin correlations in the planar Ising model
dc.contributor.author
Chelkak, Dmitry
dc.contributor.author
Hongler, Clément
dc.contributor.author
Izyurov, Konstantin
dc.date.accessioned
2024-06-27T05:53:30Z
dc.date.available
2017-06-11T16:28:12Z
dc.date.available
2024-06-27T05:53:30Z
dc.date.issued
2015-05
dc.identifier.issn
0003-486X
dc.identifier.issn
1939-8980
dc.identifier.other
10.4007/annals.2015.181.3.5
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/98836
dc.description.abstract
We rigorously prove the existence and the conformal invariance of scaling limits of the magnetization and multi-point spin correlations in the critical Ising model on arbitrary simply connected planar domains. This solves a number of conjectures coming from the physical and the mathematical literature. The proof relies on convergence results for discrete holomorphic spinor observables and probabilistic techniques.
en_US
dc.language.iso
en
en_US
dc.publisher
Princeton University Press
en_US
dc.subject
Conformal invariance
en_US
dc.subject
Discrete analytic functions
en_US
dc.subject
Ising model
en_US
dc.subject
Spin correlations
en_US
dc.title
Conformal invariance of Spin correlations in the planar Ising model
en_US
dc.type
Journal Article
dc.date.published
2015-05-01
ethz.journal.title
Annals of Mathematics
ethz.journal.volume
181
en_US
ethz.journal.issue
3
en_US
ethz.journal.abbreviated
Ann. Math.
ethz.pages.start
1087
en_US
ethz.pages.end
1138
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.identifier.nebis
000040421
ethz.publication.place
Princeton, NJ
ethz.publication.status
published
en_US
ethz.date.deposited
2017-06-11T16:29:05Z
ethz.source
ECIT
ethz.identifier.importid
imp593652fd2528c53451
ethz.ecitpid
pub:154629
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-13T12:38:13Z
ethz.rosetta.lastUpdated
2017-12-21T19:23:21Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Conformal%20invariance%20of%20Spin%20correlations%20in%20the%20planar%20Ising%20model&rft.jtitle=Annals%20of%20Mathematics&rft.date=2015-05&rft.volume=181&rft.issue=3&rft.spage=1087&rft.epage=1138&rft.issn=0003-486X&1939-8980&rft.au=Chelkak,%20Dmitry&Hongler,%20Cl%C3%A9ment&Izyurov,%20Konstantin&rft.genre=article&rft_id=info:doi/10.4007/annals.2015.181.3.5&
Files in this item
| Files | Size | Format | Open in viewer |
|---|---|---|---|
|
There are no files associated with this item. |
|||
Publication type
-
Journal Article [130376]