{"paper":{"title":"Limits of Teichm\\\"uller geodesics in the Universal Teichm\\\"uller space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.CV","authors_text":"Dragomir Saric, Hrant Hakobyan","submitted_at":"2015-05-25T17:11:03Z","abstract_excerpt":"Thurston's boundary to the universal Teichm\\\"uller space $T(\\mathbb{H})$ is the set of asymptotic rays to the embedding of $T(\\mathbb{H})$ in the space of geodesic currents; the boundary is identified with the projective bounded measured laminations $PML_{bdd}(\\mathbb{H})$ of $\\mathbb{H}$. We prove that each Teichm\\\"uller geodesic ray in $T(\\mathbb{H})$ has a unique limit point in Thurston's boundary to $T(\\mathbb{H})$ unlike in the case of closed surfaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.06695","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"}