2 problems

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Cusp-existence conjecture for the t-split two-periodic Aztec diamond
Let $\alpha$ and $\beta$ be parameters satisfying … Let $t$ be the interface parameter, and let a smooth region mean a smooth region of the limit shape to the left of the interface…
Conjectureopenaztec-diamond-models limit-shapes random-tilingsarXiv posted 2 days ago
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Macroscopic boundary conjecture for the left side of the t-split two-periodic Aztec diamond
Macroscopic boundary conjecture. The macroscopic boundary of the $t$ -split two-periodic Aztec diamond to the left of the interface is governed by this saddle function: the boundary…
Conjectureopenaztec-diamond-models limit-shapes random-matricesarXiv posted 2 days ago

Cusp-existence conjecture for the t-split two-periodic Aztec diamond