{"paper":{"title":"Tightness results for infinite-slit limits of the chordal Loewner equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR"],"primary_cat":"math.CV","authors_text":"Andrea del Monaco, Ikkei Hotta, Sebastian Schlei{\\ss}inger","submitted_at":"2016-08-14T10:21:12Z","abstract_excerpt":"In this note we consider a multi-slit Loewner equation with constant coefficients that describes the growth of multiple SLE curves connecting $N$ points on $\\mathbb{R}$ to infinity within the upper half-plane. For every $N\\in\\mathbb{N}$, this equation provides a measure valued process $t\\mapsto \\{\\alpha_{N,t}\\},$ and we are interested in the limit behaviour as $N\\to\\infty.$ We prove tightness of the sequence $\\{\\alpha_{N,t}\\}_{N\\in\\mathbb{N}}$ under certain assumptions and address some further problems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.04084","kind":"arxiv","version":1},"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"}