{"paper":{"title":"Densit\\'e de demi-horocycles sur une surface hyperbolique g\\'eom\\'etriquement infinie","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Barbara Schapira (LAMFA)","submitted_at":"2011-03-02T14:44:10Z","abstract_excerpt":"On the unit tangent bundle of a hyperbolic surface, we study the density of positive orbits $(h^s v)_{s\\ge 0}$ under the horocyclic flow. More precisely, given a full orbit $(h^sv)_{s\\in \\R}$, we prove that under a weak assumption on the vector $v$, both half-orbits $(h^sv)_{s\\ge 0}$ and $(h^s v)_{s\\le 0}$ are simultaneously dense or not in the nonwandering set $\\mathcal{E}$ of the horocyclic flow. We give also a counter-example to this result when this assumption is not satisfied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0443","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"}