The asymptotic determinant of the discrete Laplacian

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dc.creatorKenyon, Richard
dc.date2000-11-27
dc.date.accessioned2026-07-07T04:28:09Z
dc.date.available2026-07-07T04:28:09Z
dc.descriptionWe compute the asymptotic determinant of the discrete Laplacian on a simply-connected rectilinear region in R^2. As an application of this result, we prove that the growth exponent of the loop-erased random walk in Z^2 is 5/4.
dc.description36 pages, 4 figures, to appear in Acta Mathematica
dc.identifierhttps://arxiv.org/abs/math-ph/0011042
dc.identifierhttp://arxiv.org/abs/math-ph/0011042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56677
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82B20; 60J15
dc.titleThe asymptotic determinant of the discrete Laplacian
dc.typetext

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