Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer tilings, ...
Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer tilings, ...
Proposition. A vertex of maximum height locally enforces weights: incoming edges have positive weights (black edges) outcoming edges have negative weights ...
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Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer tilings, ...
Abstract. Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer.
In the above tilings the tiles are required to meet edge-to-edge except in the case of the diabolo tilings, where the hypotenuse of a triangle may be across ...
Domino tilings of finite domains of the plane are used to model dimer systems in statistical physics. In this paper, we study dimer tilings, ...
w inding paths. The height of a random tiling on a planar region is a random function w ith those given boundary values. It ...
Oct 13, 2003 · The tilings correspond to harmonic functions on the Markov chain and to ``discrete analytic functions'' on the bipartite graph. The equivalence ...
Oct 16, 2015 · Figure 1: Domino tiling and lattice dimer coverings. 2 Planar lattice dimer coverings ... tilings have a relevance to genuine physical scenarios.