Theory of Computation of Multidimensional Entropy with an Application to the Monomer-Dimer Problem

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dc.creatorFriedland, Shmuel
dc.creatorPeled, Uri N.
dc.date2004-02-01
dc.date.accessioned2026-07-07T05:05:01Z
dc.date.available2026-07-07T05:05:01Z
dc.descriptionWe outline the most recent theory for the computation of the exponential growth rate of the number of configurations on a multi-dimensional grid. As an application we compute the monomer-dimer constant for the 2-dimensional grid to 8 decimal digits, agreeing with the heuristic computations of Baxter, and for the 3-dimensional grid with an error smaller than 1.35%.
dc.description35 pages, one pstricks and two eps figures, submitted
dc.identifierhttps://arxiv.org/abs/math/0402009
dc.identifierhttp://arxiv.org/abs/math/0402009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70030
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subjectChemical Physics
dc.subject82B20, 37M25 (Primary); 28D20, 05A16 (Secondary)
dc.titleTheory of Computation of Multidimensional Entropy with an Application to the Monomer-Dimer Problem
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