Convergence of the Formal Expansion for lambda_d(p) of the Monomer-Dimer Problem for Small p

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.

8 pages, improved value for B_0, and more terms in expansion

References in corpus (2)

• An Asymptotic Expansion and Recursive Inequalities for the Monomer-Dimer Problem
• Computation of Terms in the Asymptotic Expansion of Dimer lambda_d for High Dimension

Cited by in corpus (4)

• Higher order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices
• An Asymptotic Expansion and Recursive Inequalities for the Monomer-Dimer Problem
• The Dimer Gas Mayer Series, the Monomer-Dimer lambda_d(p), the Federbush Relation
• For the Monomer-Dimer lambda_d(p), the Master Algebraic Conjecture