Convergence of the Formal Expansion for lambda_d(p) of the Monomer-Dimer Problem for Small p
Mathematical Physics
2011-02-07 v3 Statistical Mechanics
math.MP
Abstract
Shmuel Friedland and the author recently presented a formal expansion for lambda_d(p) of the monomer-dimer problem. Herein we prove that if the terms in the expansion are rearranged as a power series in p, then for sufficiently small p this series converges.
Cite
@article{arxiv.1101.4591,
title = {Convergence of the Formal Expansion for lambda_d(p) of the Monomer-Dimer Problem for Small p},
author = {Paul Federbush},
journal= {arXiv preprint arXiv:1101.4591},
year = {2011}
}
Comments
8 pages, improved value for B_0, and more terms in expansion