{"paper":{"title":"Reversibility of Whole-Plane SLE","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Dapeng Zhan","submitted_at":"2010-04-12T01:59:32Z","abstract_excerpt":"The main result of this paper is that, for $\\kappa\\in(0,4]$, whole-plane SLE$_\\kappa$ satisfies reversibility, which means that the time-reversal of a whole-plane SLE$_\\kappa$ trace is still a whole-plane SLE$_\\kappa$ trace. In addition, we find that the time-reversal of a radial SLE$_\\kappa$ trace for $\\kappa\\in(0,4]$ is a disc SLE$_\\kappa$ trace with a marked boundary point. The main tool used in this paper is a stochastic coupling technique, which is used to couple two whole-plane SLE$_\\kappa$ traces so that they overlap. Another tool used is the Feynman-Kac formula, which is used to solve "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1865","kind":"arxiv","version":3},"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"}