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paper

High-Precision Entropy Values for Spanning Trees in Lattices

arXiv:math-ph/0304047 · doi:10.1088/0305-4470/36/31/301

Abstract

Shrock and Wu have given numerical values for the exponential growth rate of the number of spanning trees in Euclidean lattices. We give a new technique for numerical evaluation that gives much more precise values, together with rigorous bounds on the accuracy. In particular, the new values resolve one of their questions.

7 pages. Revision mentions alternative approach. Title changed slightly. 2nd revision corrects first displayed equation