arXiv paper details boundary-layer asymptotics for Gaussian-smoothed singular measures

This paper delves into the mathematical complexities of Gaussian-smoothed singular measures, focusing on their behavior in boundary layers. Researchers analyzed the small-noise asymptotics of these measures on manifolds with corners, developing a two-term expansion for the heat-regularized density. The findings detail how geometric features like boundaries, corners, and curvature are encoded within the differential structure of these regularizations, with implications for understanding the score and Hessian variations. AI

RANK_REASON The item is an academic paper published on arXiv detailing mathematical research. [lever_c_demoted from research: ic=1 ai=0.4]

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