Corrected Entropy Values for Spanning Trees in Lattices

Authors:
  • JFJessica L. Felker
    Jessica L. Felker
  • RLRussell Lyons
    Russell Lyons

Abstract
Shrock and Wu have given numerical values for the exponential growth rate of the number of spanning trees in Euclidean lattices. In particular, they suggested that this rate is exactly 2 for the 4-dimensional hypercubic lattice. We give a new technique for numerical evaluation that gives more accurate values and, in particular, disproves this conjecture.