Publication:

Weighted dependency graphs and the Ising model

Date

Date

Date
2019
Journal Article
Published version
cris.lastimport.scopus2025-06-02T03:31:06Z
cris.lastimport.wos2024-12-22T02:34:34Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2020-01-23T13:10:24Z
dc.date.available2020-01-23T13:10:24Z
dc.date.issued2019-09-04
dc.description.abstract

Weighted dependency graphs have been recently introduced by the second author, as a toolbox to prove central limit theorems. In this paper, we prove that spins in the d-dimensional Ising model display such a weighted dependency structure. We use this to obtain various central limit theorems for the number of occurrences of local and global patterns in a growing box.

dc.identifier.doi10.4171/aihpd/78
dc.identifier.issn2308-5827
dc.identifier.scopus2-s2.0-85075027323
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/166330
dc.identifier.wos000496819600002
dc.language.isoeng
dc.subject.ddc340 Law
dc.subject.ddc610 Medicine & health
dc.subject.ddc510 Mathematics
dc.title

Weighted dependency graphs and the Ising model

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/openAccess
dcterms.bibliographicCitation.journaltitleAnnales de l'Institut Henri Poincare D
dcterms.bibliographicCitation.number4
dcterms.bibliographicCitation.originalpublishernameEuropean Mathematical Society Publishing House
dcterms.bibliographicCitation.pageend571
dcterms.bibliographicCitation.pagestart533
dcterms.bibliographicCitation.volume6
dspace.entity.typePublicationen
uzh.contributor.affiliationUniversity of Zurich, Institut Camille Jordan
uzh.contributor.affiliationUniversity of Zurich
uzh.contributor.authorDousse, Jehanne
uzh.contributor.authorFéray, Valentin
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.document.availabilitypublished_version
uzh.eprint.datestamp2020-01-23 13:10:24
uzh.eprint.lastmod2025-06-02 03:31:06
uzh.eprint.statusChange2020-01-23 13:10:24
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-182386
uzh.jdb.eprintsId43039
uzh.oastatus.unpaywallgreen
uzh.oastatus.zoraGreen
uzh.publication.citationDousse, Jehanne; Féray, Valentin (2019). Weighted dependency graphs and the Ising model. Annales de l'Institut Henri Poincare D, 6(4):533-571.
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.scopus.impact2
uzh.scopus.subjectsStatistical and Nonlinear Physics
uzh.scopus.subjectsAlgebra and Number Theory
uzh.scopus.subjectsStatistics and Probability
uzh.scopus.subjectsGeometry and Topology
uzh.scopus.subjectsDiscrete Mathematics and Combinatorics
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid182386
uzh.workflow.fulltextStatuspublic
uzh.workflow.revisions40
uzh.workflow.rightsCheckkeininfo
uzh.workflow.sourceCrossRef:10.4171/aihpd/78
uzh.workflow.statusarchive
uzh.wos.impact2
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