{"paper":{"title":"A Large deviation and an escape rate result for special semi-flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Italo Cipriano","submitted_at":"2016-07-09T01:41:15Z","abstract_excerpt":"In this paper we consider a smooth flow $(\\Lambda,\\Phi^t)$ builded from suspending over a (non-invertible topologically mixing) subshift of finite type, and we equip it with an equilibrium measure $\\nu$ on $\\Lambda.$ The two main theorems are a large deviation and an escape rate result. The first theorem gives an explicit formula for $X>0$ and $Y$ such that $$\\nu\\left\\{x\\in\\Lambda: \\left|\\int F\\circ \\Phi^s (x) ds-\\int F d\\mu\\right|>\\epsilon\\right\\}\\leq \\exp(-Xt+\\log t+Y)$$ for $t\\gg>1\\gg\\epsilon>0,$ where $F:\\Lambda\\to\\mathbb{R}$ is smooth. The second theorem gives an explicit lower bound for "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.02557","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"}