9 citations · 54 across the 26 of their papers we have counts for
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Entropy in A Closed Manifold and Partial Regularity of Mean Curvature Flow Limit of Surfaces
Ao Sun
Inspired by the idea of Colding-Minicozzi in [CM1], we define (mean curvature flow) entropy for submanifolds in a general ambient Riemannian manifold. In particular, this entropy i…
Construction of High Codimension Ancient Mean Curvature Flows
Douglas Stryker, Ao Sun
We construct a class of compact ancient solutions to the mean curvature flow in Euclidean space with high codimension. In particular, we construct higher codimensional ancient curv…
Codimension Bounds and Rigidity of Ancient Mean Curvature Flows by the Tangent Flow at
Douglas Stryker, Ao Sun
Motivated by the limiting behavior of an explicit class of compact ancient curve shortening flows, we prove codimension bounds for ancient mean curvature flows by their tangent flo…
Admissibility of solution estimators for stochastic optimization
Amitabh Basu, Tu Nguyen, Ao Sun
We look at stochastic optimization problems through the lens of statistical decision theory. In particular, we address admissibility, in the statistical decision theory sense, of t…