Guo-Huan Zhao

Diffusions with Critical Divergence-Free Drifts: Varadhan Asymptotics and Path-Law Singularity

We study the Euclidean Varadhan formula (EVF) and path laws for diffusions with critical divergence-free drifts in dimension $d\geq2$. For drifts given by smooth bounded skew-symmetric stream matrices, we prove a quantitative lower bound under a sector condition with a lower-order term. Its constants depend only on the...