High-Precision Entropy Values for Spanning Trees in Lattices
Mathematical Physics
2009-11-10 v4 Combinatorics
math.MP
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.
Cite
@article{arxiv.math-ph/0304047,
title = {High-Precision Entropy Values for Spanning Trees in Lattices},
author = {Jessica L. Felker and Russell Lyons},
journal= {arXiv preprint arXiv:math-ph/0304047},
year = {2009}
}
Comments
7 pages. Revision mentions alternative approach. Title changed slightly. 2nd revision corrects first displayed equation