Geodesic
Scaling limit and cube-root fluctuations in SOS surfaces above a wall
Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 931-995

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Consider the classical (2+1)-dimensional Solid-On-Solid model above a hard wall on an L×L box of Z2. The model describes a crystal surface by assigning a non-negative integer height ηx​ to each site x in the box and 0 heights to its boundary. The probability of a surface configuration η is proportional to exp(−βH(η)), where β is the inverse-temperature and H(η) sums the absolute values of height differences between neighboring sites.
DOI : 10.4171/jems/606
Classification : 60-XX, 82-XX
Keywords: SOS model, scaling limits, loop ensembles, random surface models 
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     title = {Scaling limit and cube-root fluctuations in {SOS} surfaces above a wall},
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Pietro Caputo; Eyal Lubetzky; Fabio Martinelli; Allan Sly; Fabio L. Toninelli. Scaling limit and cube-root fluctuations in SOS surfaces above a wall. Journal of the European Mathematical Society, Tome 18 (2016) no. 5, pp. 931-995. doi: 10.4171/jems/606

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