Update to v0.1:
Fixed: removed discussion on k-nearest neighbor exclusion models which do not cover the lattice perfectly. Fixed: extra assumption: particle configurations are determined by their defects. Fixed: miscellaneous minor tweaks, formatting and typos. Added: discussion about Lee-Yang zeros and their relation to the high-fugacity expansion. Added: open problem: soft exclusion potentials. Added: extended bibliography. Changed: Particles in figures are now always centered on the lattice, not the dual lattice. Changed: improved Makefile.
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@ -12,24 +12,38 @@
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% cross (color #1, position #2)
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\def\cross#1#2{
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\fill[color=#1]#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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\begin{scope}
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\clip#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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\grid44{[color=white]#2++(-2,-2)}
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\end{scope}
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\draw[color=black]#2++(0.5,0.5)--++(0,1)--++(-1,0)--++(0,-1)--++(-1,0)--++(0,-1)--++(1,0)--++(0,-1)--++(1,0)--++(0,1)--++(1,0)--++(0,1)--++(-1,0);
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}
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% 1x1 square (color #1, position #2)
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\def\square#1#2{
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\fill[color=#1]#2++(-0.5,-0.5)--++(0,1)--++(1,0)--++(0,-1)--cycle;
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\draw[color=black]#2++(-0.5,-0.5)--++(0,1)--++(1,0)--++(0,-1)--cycle;
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\draw[color=white]#2++(-0.5,0)--++(1,0);
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\draw[color=white]#2++(0,-0.5)--++(0,1);
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}
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% 2x2 square (color #1, position #2)
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\def\ttsquare#1#2{
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\fill[color=#1]#2++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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\draw[color=black]#2++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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\draw[color=white]#2++(-1,0)--++(2,0);
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\draw[color=white]#2++(0,-1)--++(0,2);
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}
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\def\ttsquareempty#1{
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\draw[color=black]#1++(-1,-1)--++(0,2)--++(2,0)--++(0,-2)--cycle;
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}
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% diamond (color #1, position #2)
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\def\diamond#1#2{
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\fill[color=#1]#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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\begin{scope}
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\clip#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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\grid22{[color=white]#2++(-1,-1)}
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\end{scope}
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\draw[color=black]#2++(0,-1)--++(1,1)--++(-1,1)--++(-1,-1)--cycle;
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}
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