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Title:
At the `liquid-gas' boundary of the two-periodic Aztec diamond
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Abstract:
The two-periodic Aztec diamond is a random domino tiling model whose limit shape contains three macroscopic regions called `solid', `liquid' and `gas'. These regions are determined by the correlations between dominoes and are not related to physical states of matter. Continuing from Benjamin Young's talk, we present some asymptotic results for the two-periodic Aztec diamond, including a partial understanding of the behavior at the so-called `liquid-gas' boundary. The talk is based on projects with Vincent Beffara, Kurt Johansson and Benjamin Young.
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