 10192 Paul Federbush, Shmuel Friedland
 An Asymptotic Expansion and Recursive Inequalities for the MonomerDimer Problem
(60K, laTex)
Nov 30, 10

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. Let (lambda_d)(p) be the p monomerdimer entropy on the ddimensional integer lattice Z^d, where p in [0,1] is the dimer density. We give upper and lower bounds for (lambda_d)(p) in terms of expressions involving (lambda_(d1))(q). The upper bound is based on
a conjecture claiming that the p monomerdimer entropy of an infinite subset of Z^d is bounded above by (lambda_d)(p). We compute the first three terms in the formal asymptotic expansion of (lambda_d)(p) in powers of 1/d. We prove that the lower asymptotic matching conjecture is satisfied for (lambda_d)(p).
 Files:
10192.src(
10192.comments ,
10192.keywords ,
fedfriednov27.tex )