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arXiv:math/0402009 [math.CO]AbstractReferencesReviewsResources

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

Shmuel Friedland, Uri N. Peled

Published 2004-02-01Version 1

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%.

Comments: 35 pages, one pstricks and two eps figures, submitted
Subjects: 82B20, 37M25, 28D20, 05A16
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