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An Asymptotic Expansion and Recursive Inequalities for the Monomer-Dimer Problem
(Springer Verlag, 2011-04)
Let lambda(d)(p) be the p monomer-dimer entropy on the d-dimensional integer lattice Z(d), where p is an element of [0, 1] is the dimer density. We give upper and lower bounds for lambda(d)(p) in terms of expressions ...