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In the dimer model, a configuration consists of a perfect matching of a fixed graph.
The statistics of dimers on a lattice. i. the number of dimer arrangements on a quadratic lattice
P. W. Kasteleyn · 1961
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Statistical mechanics of dimers on a plane lattice. II. Dimer correlations and monomers
M. E. Fisher and J. Stephenson · 1963
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Monomer pair correlations
R. E. Hartwig · 1966
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Potential theory on a rhombic lattice
R. J. Duffin · 1968
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Introduction to the theory of linear nonselfadjoint operators
I. C. Gohberg and M. G. Kreĭn · 1969
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One more technique for the dimer problem
J. K. Percus · 1969
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Theta functions on Riemann surfaces
J. D. Fay · 1973
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Analytic torsion for complex manifolds
D. B. Ray and I. M. Singer · 1973
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The P ( ϕ ) 2 P(\phi)_{2} Euclidean (quantum) field theory
B. Simon · 1974
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Sobolev spaces
R. A. Adams · 1975
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Exactly solvable model for the roughening transition of a crystal surface
H. van Beijeren · 1977
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Critical behavior of two-dimensional spin models and charge asymmetry in the Coulomb gas
B. Nienhuis · 1984
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Elliptic functions
K. Chandrasekharan · 1985
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Spinor exponents for the two-dimensional potts model
B. Nienhuis and H. J. F. Knops · 1985
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Determinants of Cauchy-Riemann operators on Riemann surfaces
D. Quillen · 1985
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Bosonization on higher genus Riemann surfaces
L. Alvarez-Gaumé, J.-B. Bost, G. Moore, P. Nelson, and C. Vafa · 1987
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Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models
P. Di Francesco, H. Saleur, and J.-B. Zuber · 1987
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Quantum physics
J. Glimm and A. Jaffe · 1987
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Determinants of Cauchy-Riemann operators as τ \tau -functions
J. Palmer · 1990
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Probability in Banach spaces
M. Ledoux and M. Talagrand · 1991
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Riemann surfaces
H. M. Farkas and I. Kra · 1992
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Kernel functions, analytic torsion, and moduli spaces
J. Fay · 1992
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Conformal field theory
P. Di Francesco, P. Mathieu, and D. Sénéchal · 1997
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Gaussian Hilbert spaces
S. Janson · 1997
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Local statistics of lattice dimers
R. Kenyon · 1997
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Lectures on conformal field theory
K. Gawȩdzki · 1999
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The asymptotic determinant of the discrete Laplacian
R. Kenyon · 2000
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Conformal invariance of domino tiling
R. Kenyon · 2000
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Quadri-tilings of the plane
B. de Tilière · 2007
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Scaling limit of isoradial dimer models and the case of triangular quadri-tilings
B. de Tilière · 2007
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Gaussian free fields for mathematicians
S. Sheffield · 2007
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Hodge theory and complex algebraic geometry. I
C. Voisin · 2007
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Dimer packings with gaps and electrostatics
M. Ciucu · 2008
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Height fluctuations in the honeycomb dimer model
R. Kenyon · 2008
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Boundary monomers in the dimer model
V. B. Priezzhev and P. Ruelle · 2008
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Trees and matchings
R. W. Kenyon, J. G. Propp, and D. B. Wilson · 2000
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Recurrence of distributional limits of finite planar graphs
I. Benjamini and O. Schramm · 2001
Cited alongside, same era.
A variational principle for domino tilings
H. Cohn, R. Kenyon, and J. Propp · 2001
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Dominos and the Gaussian free field
R. Kenyon · 2001
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Discrete Riemann surfaces and the Ising model
C. Mercat · 2001
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Partial differential equations for probabilists
D. W. Stroock · 2008
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Loop statistics in the toroidal honeycomb dimer model
C. Boutillier and B. de Tilière · 2009
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SLE and the free field: partition functions and couplings
J. Dubédat · 2009
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Lectures on dimers
R. Kenyon · 2009
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The emergence of the electrostatic field as a Feynman sum in random tilings with holes
M. Ciucu · 2010
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Conformal invariance in random cluster models. I. Holomorphic fermions in the Ising model
S. Smirnov · 2010
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Functional analysis, Sobolev spaces and partial differential equations
H. Brezis · 2011
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Discrete complex analysis on isoradial graphs
D. Chelkak and S. Smirnov · 2011
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Topics on abelian spin models and related problems
J. Dubédat · 2011
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Inhomogeneous bond percolation on square, triangular and hexagonal lattices
G. R. Grimmett and I. Manolescu · 2013
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Gaussian free field and conformal field theory
N.-G. Kang and N. G. Makarov · 2013
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Anisotropic growth of random surfaces in 2 + 1 2+1 dimensions
A. Borodin and P. L. Ferrari · 2014
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Conformal invariance of loops in the double-dimer model
R. Kenyon · 2014
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