2 problems

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The roughening transition conjecture for the 3D Ising model
Consider the three-dimensional Ising model at inverse temperature $\beta>\beta_c$ , with a horizontal interface in a box of horizontal size $n$ . Long-range order refers to persisten…
Conjectureopenising-model random-interfaces rougheningarXiv posted 2 days ago
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Conjecture that rigidity fails near criticality or under tilt in the 3D Ising model
Let $\beta>\beta_c$ be the inverse temperature of the Ising model, and consider the low-temperature interface in dimension $d=3$ , either near the critical inverse temperature…
Conjectureopenising-model random-interfaces rougheningarXiv posted 2 days ago

The roughening transition conjecture for the 3D Ising model