Update to v0.5

Substantial simplification of the proof

Remove distinction between simple, evenly filled and enclosed graphs
This commit is contained in:
Ian Jauslin 2016-01-06 14:03:07 +00:00
parent 190b7f7e4a
commit 15ee42222b
41 changed files with 286 additions and 861 deletions

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@ -23,6 +23,7 @@
\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{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{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{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{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{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{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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@ -40,16 +40,6 @@
\eject \eject
} }
%% prevent page breaks
\newcount\prevpostdisplaypenalty
\def\nopagebreakaftereq{
\prevpostdisplaypenalty=\postdisplaypenalty
\postdisplaypenalty=10000
}
\def\restorepagebreakaftereq{
\postdisplaypenalty=\prevpostdisplaypenalty
}
%% hyperlinks %% hyperlinks
% hyperlinkcounter % hyperlinkcounter
\newcounter{lncount} \newcounter{lncount}

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@ -34,6 +34,17 @@
\@beginparpenalty=\prevparpenalty \@beginparpenalty=\prevparpenalty
} }
%% prevent page breaks after displayed equations
\newcount\prevpostdisplaypenalty
\def\nopagebreakaftereq{
\prevpostdisplaypenalty=\postdisplaypenalty
\postdisplaypenalty=10000
}
%% back to previous value
\def\restorepagebreakaftereq{
\postdisplaypenalty=\prevpostdisplaypenalty
}
%% stack relations in subscript or superscript %% stack relations in subscript or superscript
\def\mAthop#1{\displaystyle\mathop{\scriptstyle #1}} \def\mAthop#1{\displaystyle\mathop{\scriptstyle #1}}
@ -44,3 +55,5 @@
\def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]} \def\largearray{\begin{array}{@{}>{\displaystyle}l@{}}\hphantom{\hspace{\largearray@width}}\\[-.5cm]}
\def\endlargearray{\end{array}} \def\endlargearray{\end{array}}
%% qedsquare
\def\qed{\penalty10000\hfill\penalty10000$\square$}