Moments of Two-Variable Functions and the Uniqueness of Graph Limits

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dc.creatorBorgs, Christian
dc.creatorChayes, Jennifer
dc.creatorLovasz, Laszlo
dc.date2008-03-08
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:09:38Z
dc.date.available2026-07-07T12:09:38Z
dc.descriptionFor a symmetric bounded measurable function W on [0,1]^2, "moments" of W can be defined as values t(F,W) indexed by simple graphs. We prove that every such function is determined by its moments up to a measure preserving transformation of the variables. This implies that the limit of a convergent dense graph sequence is unique up to measure preserving transformation.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0803.1244
dc.identifierhttp://arxiv.org/abs/0803.1244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209692
dc.subjectCombinatorics
dc.subjectClassical Analysis and ODEs
dc.subject05C99; 28A99
dc.titleMoments of Two-Variable Functions and the Uniqueness of Graph Limits
dc.typetext

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