Power series expansions for the planar monomer-dimer problem
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[1] Shmuel Friedland,et al. Theory of computation of multidimensional entropy with an application to the monomer-dimer problem , 2004, Adv. Appl. Math..
[2] J. Propp,et al. A variational principle for domino tilings , 2000, math/0008220.
[3] D. H. Everett,et al. The thermodynamics of hydrocarbon solutions - II. The systems benzene+diphenyl, benzene+diphenylmethane and benzene+dibenzyl , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[4] M. Jerrum. Two-dimensional monomer-dimer systems are computationally intractable , 1987 .
[5] P. Butera,et al. Higher-order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[6] M. Fisher,et al. Dimer problem in statistical mechanics-an exact result , 1961 .
[7] A. Scott,et al. The Repulsive Lattice Gas, the Independent-Set Polynomial, and the Lovász Local Lemma , 2003, cond-mat/0309352.
[8] V. Arnold. Mathematical Methods of Classical Mechanics , 1974 .
[9] W. Marsden. I and J , 2012 .
[10] Asymptotics of the monomer-dimer model on two-dimensional semi-infinite lattices. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[11] P. W. Kasteleyn. The Statistics of Dimers on a Lattice , 1961 .
[12] R. Gregory Taylor,et al. Modern computer algebra , 2002, SIGA.
[13] O. J. Heilmann,et al. Theory of monomer-dimer systems , 1972 .
[14] Manuel Kauers,et al. The Holonomic Toolkit , 2013 .
[15] S. Lando. Lectures on Generating Functions , 2003 .
[16] P. Csikvári,et al. Matching Measure, Benjamini–Schramm Convergence and the Monomer–Dimer Free Energy , 2014, 1405.6740.
[17] Mihai Ciucu,et al. An improved upper bound for the $3$-dimensional dimer problem , 1998 .
[18] Elliott H. Lieb,et al. Solution of the Dimer Problem by the Transfer Matrix Method , 1967 .
[19] M. Fisher. Statistical Mechanics of Dimers on a Plane Lattice , 1961 .
[20] P. Federbush. Computation of terms in the asymptotic expansion of dimer λd for high dimension , 2009, 0908.1725.
[21] Philippe Flajolet,et al. Analytic Combinatorics , 2009 .
[22] P. H. Lundow,et al. On the Validations of the Asymptotic Matching Conjectures , 2006, math/0603001.
[23] Charalambos A. Charalambides,et al. Enumerative combinatorics , 2018, SIGA.
[24] Shmuel Friedland,et al. An Asymptotic Expansion and Recursive Inequalities for the Monomer-Dimer Problem , 2010, 1011.6579.
[25] R. Zia,et al. Making sense of the Legendre transform , 2008, 0806.1147.
[26] R. Fowler,et al. An attempt to extend the statistical theory of perfect solutions , 1937 .
[27] D. Gamarnik,et al. Sequential Cavity Method for Computing Free Energy and Surface Pressure , 2008, 0807.1551.
[28] Y. Kong. Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.