Area versus Length Distribution for Closed Random Walks

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dc.creatorColomo, Filippo
dc.date2002-12-23
dc.date.accessioned2026-07-07T10:48:07Z
dc.date.available2026-07-07T10:48:07Z
dc.descriptionUsing a connection between the $q$-oscillator algebra and the coefficients of the high temperature expansion of the frustrated Gaussian spin model, we derive an exact formula for the number of closed random walks of given length and area, on a hypercubic lattice, in the limit of infinite number of dimensions. The formula is investigated in detail, and asymptotic behaviours are evaluated. The area distribution in the limit of long loops is computed. As a byproduct, we obtain also an infinite set of new, nontrivial identities.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0212564
dc.identifierhttp://arxiv.org/abs/cond-mat/0212564
dc.identifierJ.Phys.A36:1539-1552,2003
dc.identifierdoi:10.1088/0305-4470/36/6/301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183769
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleArea versus Length Distribution for Closed Random Walks
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