{"paper":{"title":"Tau-functions \\`a la Dub\\'edat and probabilities of cylindrical events for double-dimers and CLE(4)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Dmitry Chelkak, Mikhail Basok","submitted_at":"2018-09-03T19:04:43Z","abstract_excerpt":"Building upon recent results of Dub\\'edat (see arXiv:1403.6076) on the convergence of topological correlators in the double-dimer model considered on Temperleyan approximations $\\Omega^\\delta$ to a simply connected domain $\\Omega\\subset\\mathbb C$ we prove the convergence of probabilities of cylindrical events for the \\emph{double-dimer loop ensembles} on $\\Omega^\\delta$ as $\\delta\\to 0$. More precisely, let $\\lambda_1,\\dots,\\lambda_n\\in\\Omega$ and $L$ be a macroscopic lamination on $\\Omega\\setminus\\{\\lambda_1,\\dots,\\lambda_n\\}$, i.e., a collection of disjoint simple loops surrounding at least "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.00690","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1809.00690/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}