{"paper":{"title":"Small time asymptotics for Brownian motion with singular drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Shizan Fang, Tusheng Zhang, Zhen-Qing Chen","submitted_at":"2018-08-07T12:42:27Z","abstract_excerpt":"We establish a small time large deviation principle and a Varadhan type asymptotics for Brownian motion with singular drift on $\\bR^d$ with $d\\geq 3$ whose infinitesimal generator is $\\frac12 \\Delta + \\mu \\cdot \\nabla$, where each $\\mu_i$ of $\\mu = (\\mu_1, \\cdots, \\mu_d)$ is a measure in some suitable Kato class."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.02326","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"}