Arnak S. Dalalyan

Boundary-layer asymptotics for Gaussian-smoothed singular measures

Nicolas Brosse, Arnak S. Dalalyan

We study the small-noise asymptotics of Euclidean heat regularizations of probability measures supported on manifolds with corners. Near a boundary or corner stratum, the relevant regime is a conical boundary layer in which the observation point approaches the stratum at the same…Read more