Update v0.2v0.2

Addition: relation between the Wick rule and the Pfaffian formula

References: [GBK87], [WTI11], [Te74]

References: [AP84] and mention minor mistakes in [Ha66]

1 files changed, 5 insertions, 1 deletions

diff --git a/bibliography.BBlog.tex b/bibliography.BBlog.tex
index 214aa25..adb392e 100644
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@@ -2,6 +2,7 @@
 \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{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}}.}
@@ -10,6 +11,7 @@
 \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}}.}
@@ -29,5 +31,7 @@
 \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, 2006, doi:{\tt\color{blue}\href{http://dx.doi.org/10.1103/PhysRevE.74.020104}{10.1103/PhysRevE.74.020104}}.}
+\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}}.}