{"paper":{"title":"The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Brian H. Bowditch, Makoto Sakuma","submitted_at":"2016-08-10T00:17:00Z","abstract_excerpt":"Let $\\Sigma$ be a complete finite-area orientable hyperbolic surface with one cusp, and let $\\mathcal{R}$ be the space of complete geodesic rays in $\\Sigma$ emanating from the puncture. Then there is a natural action of the mapping class group of $\\Sigma$ on $\\mathcal{R}$. We show that this action is \"almost everywhere\" wandering."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03009","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"}