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• W2963511788 abstract "Domino tilings of the two-periodic Aztec diamond feature all of the three possible types of phases of random tiling models. These phases are determined by the decay of correlations between dominoes and are generally known as solid, liquid and gas. The liquid-solid boundary is easy to define microscopically and is known in many models to be described by the Airy process in the limit of a large random tiling. The liquid-gas boundary has no obvious microscopic description. Using the height function, we define a random measure in the two-periodic Aztec diamond designed to detect the long range correlations visible at the liquid-gas boundary. We prove that this random measure converges to the extended Airy point process. This indicates that, in a sense, the liquid-gas boundary should also be described by the Airy process." @default.
• W2963511788 created "2019-07-30" @default.
• W2963511788 creator A5045613731 @default.
• W2963511788 creator A5051948682 @default.
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• W2963511788 date "2018-09-01" @default.
• W2963511788 modified "2023-10-03" @default.
• W2963511788 title "Airy point process at the liquid-gas boundary" @default.
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• W2963511788 doi "https://doi.org/10.1214/17-aop1244" @default.
• W2963511788 hasPublicationYear "2018" @default.
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