{"paper":{"title":"Multiple SLE$_\\kappa$ from CLE$_\\kappa$ for $\\kappa \\in (4,8)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.PR","authors_text":"Jason Miller, Valeria Ambrosio, Yizheng Yuan","submitted_at":"2025-03-11T23:29:58Z","abstract_excerpt":"We define multichordal CLE$_\\kappa$ for $\\kappa \\in (4,8)$ as the conditional law of the remainder of a partially explored CLE$_\\kappa$. The strands of a multichordal CLE$_\\kappa$ have a random link pattern, and their law conditionally on the linking pattern is a (global) multichordal SLE$_\\kappa$. The multichordal CLE$_\\kappa$ are the conjectural scaling limits of FK and loop $O(n)$ models with some wiring patterns of the boundary arcs.\n  We also explain how CLE$_\\kappa$ configurations can be locally resampled, and show that the partially explored strands can be relinked in any possible way w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.08958","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/2503.08958/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"}