Exact factorization of correlation functions in 2-D critical percolation

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dc.creatorSimmons, Jacob J. H.
dc.creatorKleban, Peter
dc.creatorZiff, Robert M.
dc.date2007-06-27
dc.date2007-09-24
dc.date.accessioned2026-07-07T10:56:29Z
dc.date.available2026-07-07T10:56:29Z
dc.descriptionBy use of conformal field theory, we discover several exact factorizations of higher-order density correlation functions in critical two-dimensional percolation. Our formulas are valid in the upper half-plane, or any conformally equivalent region. We find excellent agreement of our results with high-precision computer simulations. There are indications that our formulas hold more generally.
dc.description6 pages, 3 figures. Oral presentation given at STATPHYS 23. V2: Minor additions and corrections, figures improved
dc.identifierhttps://arxiv.org/abs/0706.4105
dc.identifierhttp://arxiv.org/abs/0706.4105
dc.identifierPhys.Rev.E76:041106,2007
dc.identifierdoi:10.1103/PhysRevE.76.041106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186430
dc.subjectMathematical Physics
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleExact factorization of correlation functions in 2-D critical percolation
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