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Conjecture on the envelope of new tangent lines and the outer boundary of a frozen domain
Envelope conjecture. This envelope is precisely the outer boundary of a larger frozen domain enclosing the fully frozen triangular region and tangent to this region at its endpoint…
Conjectureopenarctic-curves statistical-mechanics tangent-methodarXiv posted 2 days ago
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The external Arctic curve envelope conjecture for generic six-vertex domains
Let $\Lambda$ be a generic domain for the six-vertex model, and consider a south side ending at a corner, with the relevant external portion of the Arctic curve lying above that si…
Conjectureopenarctic-curves six-vertex-model tangent-methodarXiv posted 2 days ago
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The Arctic Curve Conjecture for the six-vertex model on the square domain
Let $r(z)$ be the scaled logarithmic derivative of the boundary correlation function $h_N(z)$ , namely … For the six-vertex model with domain wall boundary conditions, let $t$ and…
Conjectureopenarctic-curves six-vertex-model tangent-methodarXiv posted 2 days ago

Conjecture on the envelope of new tangent lines and the outer boundary of a frozen domain