High-Precision Entropy Values for Spanning Trees in Lattices

Details High-Precision Entropy Values for Spanning Trees in Lattices High-Precision Entropy Values for Spanning Trees in Lattices

2003-04-29

arxiv.org/abs/math-ph/0304047v4

J. Phys. A 26 (2003), 8361--8365

Physics

Mathematical Physics

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

Scientific paper

10.1088/0305-4470/36/31/301

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.

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