{"paper":{"title":"Imaginary geometry III: reversibility of SLE_\\kappa\\ for \\kappa \\in (4,8)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CV","math.MP"],"primary_cat":"math.PR","authors_text":"Jason Miller, Scott Sheffield","submitted_at":"2012-01-06T20:56:04Z","abstract_excerpt":"Suppose that D is a planar Jordan domain and x and y are distinct boundary points of D. Fix \\kappa \\in (4,8) and let \\eta\\ be an SLE_\\kappa process from x to y in D. We prove that the law of the time-reversal of \\eta is, up to reparameterization, an SLE_\\kappa process from y to x in D. More generally, we prove that SLE_\\kappa(\\rho_1;\\rho_2) processes are reversible if and only if both \\rho_i are at least \\kappa/2-4, which is the critical threshold at or below which such curves are boundary filling.\n  Our result supplies the missing ingredient needed to show that for all \\kappa \\in (4,8) the so"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1498","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":""},"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"}