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Conjecture on randomness in the non-uniqueness region of the five-vertex model
Let $U'\subset U$ be the repulsive region, where every minimizer of the surface-tension variational problem has gradient in the pure phase region $\mathcal{N'}$ . The complement…
Conjectureopenfive-vertex-model limit-shapes random-surfacesarXiv posted 2 days ago
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The conjecture that neutral regions have no limit shape in the asymmetric five-vertex model
Neutral-region conjecture. There is no limit shape in these regions, and the height function remains random in the scaling limit.
Conjectureopenfive-vertex-model limit-shapes random-surfacesarXiv posted 2 days ago

Conjecture on randomness in the non-uniqueness region of the five-vertex model