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.
Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)
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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.