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The law of (1+1)D SOS with an area tilt in a wedge

Dembo, Amir et al.
arXiv (All) · Papers
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mathematical-physicsprobability
Motivated by the study of the level lines of the $(2+1)$D Solid-On-Solid (SOS) model above a floor, near the corners of the box, we derive the limit law of an ensemble of $K$ curves from a $(1+1)$D SOS model, with an area tilt, and above a wedge-shaped floor in $\{-N,\ldots,N\}$. We show that there
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