{"paper":{"title":"Hausdorff dimension of divergent diagonal geodesics on product of finite volume hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Lei Yang","submitted_at":"2013-03-24T21:17:44Z","abstract_excerpt":"In this article, we consider the product space of several non-compact finite volume hyperbolic spaces, $V_1, V_2, \\dots , V_k$ of dimension $n$. Let $\\mathrm{T}^1(V_i)$ denote the unit tangent bundle of $V_i$ for each $i=1,\\dots , k$, then for every $(v_1, \\dots , v_k) \\in \\mathrm{T}^1 (V_1) \\times \\cdots \\times \\mathrm{T}^1 (V_k)$, the diagonal geodesic flow $g_t$ is defined by $g_t (v_1, \\dots , v_k) = (g_t v_1, \\dots , g_t v_k)$. And we define $$\\mathfrak{D}_k =\\left\\{ (v_1, \\dots, v_k) \\in \\mathrm{T}^1 (V_1) \\times \\cdots \\times \\mathrm{T}^1 (V_k): g_t(v_1, \\dots, v_k) \\text{ divergent, as"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5993","kind":"arxiv","version":5},"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"}