2 citations · 2 across the 3 of their papers we have counts for
3 papers
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.PR2021
A variational principle for domino tilings of multiply-connected domains
Nikolai Kuchumov
We study random domino tilings of a multiply-connected domain with a height function defined on the universal covering space of the domain. We prove a large deviation principle for…
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…