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

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We 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%.
35 pages, one pstricks and two eps figures, submitted

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Combinatorics, Mathematical Physics, Chemical Physics, 82B20, 37M25 (Primary); 28D20, 05A16 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/70030

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402009
 http://arxiv.org/abs/math/0402009

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arXiv