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Small time asymptotics for Brownian motion with singular drift
Zhen-Qing Chen, Shizan Fang, Tusheng Zhang · 2018-08-07 · via math.PR updates on arXiv.org

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 $\frac12 Δ+ μ\cdot \nabla$, where each $μ_i$ of $μ= (μ_1, \cdots, μ_d)$ is a measure in some suitable Kato class.

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