Astroidal zig-zag graphs on periodic planar bipartite lattices admit explicit inverse Kasteleyn matrices by double contour integrals, yielding arctic curves, limit shapes, and convergence to Gibbs measures for periodic weightings.
Arctic curves for paths with arbitrary starting points: a tangent method approach.J
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Dimer models on astroidal zig-zag graphs
Astroidal zig-zag graphs on periodic planar bipartite lattices admit explicit inverse Kasteleyn matrices by double contour integrals, yielding arctic curves, limit shapes, and convergence to Gibbs measures for periodic weightings.