{"paper":{"title":"A one-dimensional diffusion hits points fast","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Cameron Bruggeman, Johannes Ruf","submitted_at":"2015-08-16T13:06:33Z","abstract_excerpt":"A one-dimensional, continuous, regular, and strong Markov process $X$ with state space $E$ hits any point $z \\in E$ fast with positive probability. To wit, if $\\tau_z = \\inf \\{t \\geq 0:X_{t} = z\\}$, then $P_\\xi({ \\tau}_z<\\varepsilon)>0$ for all $\\xi \\in E$ and $\\varepsilon>0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03822","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"}