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\BBlogentry{Ai82}{Ai82}{M. Aizenman - {\it Geometric analysis of $\varphi^4$ fields and Ising models}, Communications in Mathematical Physics, Vol.~86, n.~1, p.~1-48, 1982, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01205659}{10.1007/BF01205659}}.}
\BBlogentry{AD}{AD}{M. Aizenman, H. Duminil-Copin - private communication.}
\BBlogentry{ACM14}{ACM14}{D. Alberici, P. Contucci, E. Mingione - {\it A mean-field monomer-dimer model with attractive interaction: Exact solution and rigorous results}, Journal of Mathematical Physics, Vol.~55, n.~063301, 2014, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.4881725}{10.1063/1.4881725}}.}
\BBlogentry{AF14}{AF14}{N. Allegra, J. Fortin - {\it Grassmannian representation of the two-dimensional monomer-dimer model}, Physical Review E, Vol.~89, n.~062107, 2014, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevE.89.062107}{10.1103/PhysRevE.89.062107}}.}
\BBlogentry{AP84}{AP84}{H. Au-Yang, J.H.H. Perk - {\it Ising correlations at the critical temperature}, Physics Letters A, Vol.~104, n.~3, p.~131-134, 1984, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0375-9601(84)90359-1}{10.1016/0375-9601(84)90359-1}}.}
\BBlogentry{Ay15}{Ay15}{A. Ayyer - {\it A Statistical Model of Current Loops and Magnetic Monopoles}, Mathematical Physics, Analysis and Geometry, Vol.~18, n.~1, p.~1-19, 2015, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/s11040-015-9185-6}{10.1007/s11040-015-9185-6}}.}
\BBlogentry{CHI15}{CHI15}{D. Chelkak, C. Hongler, K. Izyurov - {\it Conformal invariance of spin correlations in the planar Ising model}, Annals of Mathematics, Vol.~181, n.~3, p.~1087-1138, 2015, doi:{\tt\color{blue}\href{http://dx.doi.org/10.4007/annals.2015.181.3.5}{10.4007/annals.2015.181.3.5}}.}
\BBlogentry{Du11}{Du11}{J. Dub\'edat - {\it Exact bosonization of the Ising model}, arXiv:1112.4399, 2011.}
\BBlogentry{Du15}{Du15}{J. Dub\'edat - {\it Dimers and families of Cauchy-Riemann operators I}, Journal of the American Mathematical Society, Vol.~28, n.~4, p.~1063-1167, 2015, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1090/jams/824}{10.1090/jams/824}}.}
\BBlogentry{FS63}{FS63}{M.E. Fisher, J. Stephenson - {\it Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers}, Physical Review, Vol.~132, n.~4, p.~1411-1431, 1963, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.132.1411}{10.1103/PhysRev.132.1411}}.}
\BBlogentry{FH69}{FH69}{M. Fisher, R. E. Hartwig - in Stochastic Processes in Chemical Physics, ed. K. E. Shuler, John Wiley and Sons, New York, 1969, Vol. 15, p.333.}
\BBlogentry{GGM12}{GGM12}{A. Giuliani, R.L. Greenblatt, V. Mastropietro - {\it The scaling limit of the energy correlations in non-integrable Ising models}, Journal of Mathematical Physics, Vol.~53, n.~095214, 2012, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.4745910}{10.1063/1.4745910}}.}
\BBlogentry{GMT15b}{GMT15}{A. Giuliani, V. Mastropietro, F. Toninelli - {\it Height fluctuations in non-integrable classical dimers}, EPL (Europhysics Letters), Vol.~109, n.~6, p.~60004, 2015, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1209/0295-5075/109/60004}{10.1209/0295-5075/109/60004}}.}
\BBlogentry{GMT15}{GMT15b}{A. Giuliani, V. Mastropietro, F.L. Toninelli - {\it Height fluctuations in interacting dimers}, Annales de l'Institut Henri Poincar\'e, Probability and Statistics, in press, arXiv:1406.7710, 2015.}
\BBlogentry{GBK78}{GBK78}{J. Groeneveld, R. Boel, P. Kasteleyn - {\it Correlation-function identities for general planar Ising systems}, Physica A, Vol.~93, n.~1-2, p.~138-154, 1978, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0378-4371(78)90214-5}{10.1016/0378-4371(78)90214-5}}.}
\BBlogentry{Ha66}{Ha66}{R.E. Hartwig - {\it Monomer Pair Correlations}, Journal of Mathematical Physics, Vol.~7, n.~2, p.~286-299, 1966, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1704931}{10.1063/1.1704931}}.}
\BBlogentry{HL70}{HL70}{O.J. Heilmann, E.H. Lieb - {\it Monomers and dimers}, Physical Review Letters, Vol.~24, n.~25, p.~1412-1414, 1970, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevLett.24.1412}{10.1103/PhysRevLett.24.1412}}.}
\BBlogentry{HL72}{HL72}{O.J. Heilmann, E.H. Lieb - {\it Theory of monomer-dimer systems}, Communications in Mathematical Physics, Vol.~25, n.~3, p.~190-232, 1972, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01877590}{10.1007/BF01877590}}.}
\BBlogentry{Je87}{Je87}{M. Jerrum - {\it Two-dimensional monomer-dimer systems are computationally intractable}, Journal of Statistical Physics, Vol.~48, n.~1-2, 1987, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF01010403}{10.1007/BF01010403}}.}
\BBlogentry{Ka63}{Ka63}{P.W. Kasteleyn - {\it Dimer statistics and phase transitions}, Journal of Mathematical Physics, Vol.~4, n.~2, p.~287-293, 1963, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1703953}{10.1063/1.1703953}}.}
\BBlogentry{KRS96}{KRS96}{C. Kenyon, D. Randall, A. Sinclair - {\it Approximating the number of monomer-dimer coverings of a lattice}, Journal of Statistical Physics, Vol.~83, n.~3-4, 1996, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1007/BF02183743}{10.1007/BF02183743}}.}
\BBlogentry{Ke00}{Ke00}{R. Kenyon - {\it Conformal invariance of domino tiling}, The Annals of Probability, Vol.~28, n.~2, p.~759-795, 2000.}
\BBlogentry{Ke01}{Ke01}{R. Kenyon - {\it Dominos and the Gaussian free field}, The Annals of Probability, Vol.~29, n.~3, p.~1128-1137, 2001.}
\BBlogentry{Ko06c}{Ko06}{Y. Kong - {\it Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density}, Physical Review E, Vol.~74, n.~061102, 2006.}
\BBlogentry{Kr06}{Kr06}{W. Krauth - {\it Statistical mechanics: Algorithms and computations}, Oxford Masters Series in Statistical, Computational, and Theoretical Physics, Oxford University Press, 2006.}
\BBlogentry{Ku94}{Ku94}{G. Kuperberg - {\it Symmetries of plane partitions and the permanent-determinant method}, Journal of Combinatorial Theory, Series A, Vol.~68, n.~1, p.~115-151, 1994, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/0097-3165(94)90094-9}{10.1016/0097-3165(94)90094-9}}.}
\BBlogentry{Li67}{Li67}{E.H. Lieb - {\it Solution of the dimer problem by the transfer matrix method}, Journal of Mathematical Physics, Vol.~8, n.~12, p.~2339-2341, 1967, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1063/1.1705163}{10.1063/1.1705163}}.}
\BBlogentry{Li68}{Li68}{E.H. Lieb - {\it A theorem on Pfaffians}, Journal of Combinatorial Theory, Vol.~5, p.~313-319, 1968, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/S0021-9800(68)80078-X}{10.1016/S0021-9800(68)80078-X}}.}
\BBlogentry{LL93}{LL93}{E.H. Lieb, M. Loss - {\it Fluxes, Laplacians, and Kasteleyn's Theorem}, Duke Mathematical Journal, Vol.~71, n.~2, p.~337-363, 1993.}
\BBlogentry{PS}{PS}{H. Pinson, T. Spencer - {\it Universality and the two-dimensional Ising model}, unpublished.}
\BBlogentry{PR08}{PR08}{V.B. Priezzhev, P. Ruelle - {\it Boundary monomers in the dimer model}, Physical Review E, Vol.~77, n.~061126, 2008, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevE.77.061126}{10.1103/PhysRevE.77.061126}}.}
\BBlogentry{Sm01}{Sm01}{S. Smirnov - {\it Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits}, Comptes Rendus de l'Acad\'emie des Sciences - Series I - Mathematics, Vol.~333, n.~3, p.~239-244, 2001, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/S0764-4442(01)01991-7}{10.1016/S0764-4442(01)01991-7}}.}
\BBlogentry{Sm10}{Sm10}{S. Smirnov - {\it Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model}, Annals of Mathematics, Vol.~172, n.~2, p.~1435-1467, 2010, doi:{\tt\color{blue}\href{http://dx.doi.org/10.4007/annals.2010.172.1435}{10.4007/annals.2010.172.1435}}.}
\BBlogentry{Sp00}{Sp00}{T. Spencer - {\it A mathematical approach to universality in two dimensions}, Physica A, Vol.~279, p.~250-259, 2000, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1016/S0378-4371(00)00011-X}{10.1016/S0378-4371(00)00011-X}}.}
\BBlogentry{TF61}{TF61}{H.N.V. Temperley, M.E. Fisher - {\it Dimer problem in statistical mechanics - an exact result}, Philosophical Magazine, Vol.~6, n.~68, p.~1061-1063, 1961.}
\BBlogentry{Te74}{Te74}{H.N.V. Temperley - {\it Enumeration of graphs on a large periodic Lattice}, Combinatorics: the proceedings of the British Combinatorical Conference, 1973, London Mathematical Society lecture note series Vol.~13, Cambridge University Press, 1974.}
\BBlogentry{TW03}{TW03}{W. Tzeng, F.Y. Wu - {\it Dimers on a simple-quartic net with a vacancy}, Journal of Statistical Physics, Vol.~110, n.~3-6, p.~671-689, 2003, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1023/A:1022155701655}{10.1023/A:1022155701655}}.}
\BBlogentry{Wu06}{Wu06}{F.Y. Wu - {\it Pfaffian solution of a dimer-monomer problem: single monomer on the boundary}, Physical Review E, Vol.~74, n.~020104, Erratum: n.~039907(E), 2006, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevE.74.020104}{10.1103/PhysRevE.74.020104}}.}
\BBlogentry{WTI11}{WTI11}{F.Y. Wu, W. Tzeng, N.S. Izmailian - {\it Exact solution of a monomer-dimer problem: A single boundary monomer on a nonbipartite lattice}, Physical Review E, Vol.~83, n.~011106, 2011, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevE.83.011106}{10.1103/PhysRevE.83.011106}}.}
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