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math-ph2026
Limit shapes and harmonic tricks
Nikolai Kuchumov
This article has two main goals. First, it provides a self-contained exposition of the tangent plane method for the dimer model - a technique for analyzing arctic curves and limit…
math-ph2017★ 2 cited
Limit shapes for the dimer model
Nikolai Kuchumov
We prove the existence of a limit shape for the dimer model on planar periodic bipartite graphs with an arbitrary fundamental domain and arbitrary periodic weights. This proof is b…