A variational principle for domino tilings of multiply-connected domains

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A variational principle for domino tilings of multiply-connected domains

2021.

Кучумов Н. И.

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 the height function in two asymptotic regimes. The first regime covers all domino tilings of the domain. We also prove a law of large numbers for height change in this regime. The second regime covers domino tilings with a given asymptotic height change r.

Priority areas: mathematics

Language: English

DOI

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