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4 Commits
Author | SHA1 | Date |
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Ian Jauslin | d0d0103960 | |
Ian Jauslin | 15ee42222b | |
Ian Jauslin | 190b7f7e4a | |
Ian Jauslin | 75077a8d0e |
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Figs/bethe.pdf
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\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}}.}
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\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}}.}
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\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}}.}
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\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}}.}
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\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}}.}
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\BBlogentry{Du11}{Du11}{J. Dub\'edat - {\it Exact bosonization of the Ising model}, arXiv:1112.4399, 2011.}
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\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}}.}
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\BBlogentry{Ke01}{Ke01}{R. Kenyon - {\it Dominos and the Gaussian free field}, The Annals of Probability, Vol.~29, n.~3, p.~1128-1137, 2001.}
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\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.}
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\BBlogentry{Kr06}{Kr06}{W. Krauth - {\it Statistical mechanics: Algorithms and computations}, Oxford Masters Series in Statistical, Computational, and Theoretical Physics, Oxford University Press, 2006.}
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\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}}.}
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\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}}.}
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\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}}.}
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\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.}
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\BBlogentry{MW67}{MW67}{B.M. McCoy, T.T. Wu - {\it Theory of Toeplitz Determinants and the Spin Correlations of the Two-Dimensional Ising Model. IV}, Physical Review, Vol.~162, n.~2, p.~436-475, 1967, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRev.162.436}{10.1103/PhysRev.162.436}}.}
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\BBlogentry{MW73}{MW73}{B.M. McCoy, T.T. Wu - {\it The Two-Dimensional Ising Model}, Harvard University Press, 1973.}
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\BBlogentry{PS}{PS}{H. Pinson, T. Spencer - {\it Universality and the two-dimensional Ising model}, unpublished.}
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\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}}.}
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\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}}.}
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\def\restorepagebreakaftereq{
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%% hyperlinks
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\newcounter{lncount}
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\@beginparpenalty=\prevparpenalty
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%% prevent page breaks after displayed equations
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\def\mAthop#1{\displaystyle\mathop{\scriptstyle #1}}
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\def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]}
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%% qedsquare
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\def\qed{\penalty10000\hfill\penalty10000$\square$}
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