{"paper":{"title":"Scaling limit and cube-root fluctuations in SOS surfaces above a wall","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Allan Sly, Eyal Lubetzky, Fabio Lucio Toninelli, Fabio Martinelli, Pietro Caputo","submitted_at":"2013-02-27T17:54:52Z","abstract_excerpt":"Consider the classical $(2+1)$-dimensional Solid-On-Solid model above a hard wall on an $L\\times L$ box of $\\bbZ^2$. The model describes a crystal surface by assigning a non-negative integer height $\\eta_x$ to each site $x$ in the box and 0 heights to its boundary. The probability of a surface configuration $\\eta$ is proportional to $\\exp(-\\beta \\mathcal{H}(\\eta))$, where $\\beta$ is the inverse-temperature and $\\mathcal{H}(\\eta)$ sums the absolute values of height differences between neighboring sites.\n  We give a full description of the shape of the SOS surface for low enough temperatures. Fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6941","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}