Exact sampling of corrugated surfaces

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dc.creatorCaracciolo, Sergio
dc.creatorRinaldi, Enrico
dc.creatorSportiello, Andrea
dc.date2008-10-15
dc.date.accessioned2026-07-07T12:44:49Z
dc.date.available2026-07-07T12:44:49Z
dc.descriptionWe discuss an algorithm for the exact sampling of vectors v in [0,1]^N satisfying a set of pairwise difference inequalities. Applications include the exact sampling of skew Young Tableaux, of configurations in the Bead Model, and of corrugated surfaces on a graph, that is random landscapes in which at each vertex corresponds a local maximum or minimum. As an example, we numerically evaluate with high-precision the number of corrugated surfaces on the square lattice. After an extrapolation to the thermodynamic limit, controlled by an exact formula, we put into evidence a discrepancy with previous numerical results.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0810.2660
dc.identifierhttp://arxiv.org/abs/0810.2660
dc.identifierJ. Stat. Mech. (2009) P02049
dc.identifierdoi:10.1088/1742-5468/2009/02/P02049
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220906
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.titleExact sampling of corrugated surfaces
dc.typetext

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