{"paper":{"title":"Stochastic Komatu-Loewner evolutions and BMD domain constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Masatoshi Fukushima, Zhen-Qing Chen","submitted_at":"2014-10-30T05:22:15Z","abstract_excerpt":"Let $D={\\mathbb H} \\setminus \\cup_{k=1}^N C_k$ be a standard slit domain, where ${\\mathbb H}$ is the upper half plane and $C_k$, $1\\leq k\\leq N$, are mutually disjoint horizontal line segments in $H$. Given a Jordan arc $\\gamma\\subset D$ starting at $\\partial H$, let $g_t$ be the unique conformal map from $D\\setminus\\gamma[0,t]$ onto a standard slit domain $D_t={\\mathbb H} \\setminus \\cup_{k=1}^N C_k(t)$ satisfying the hydrodynamic normalization at infinity. It has been established recently that $g_t$ satisfies an ODE called a Komatu-Loewner equation in terms of the complex Poisson kernel of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8257","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"}