Asymptotic Expansions for lambda_d of the Dimer and Monomer-Dimer Problems

Abstract

In the past few years we have derived asymptotic expansions for lambda_d of the dimer problem and lambda_d(p) of the monomer-dimer problem. The many expansions so far computed are collected herein. We shine a light on results in two dimensions inspired by the work of M. E. Fisher. Much of the work reported here was joint with Shmuel Friedland.

4 pages

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• Higher order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices