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.
Biased2×2periodic Aztec diamond and an elliptic curve
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.