期刊
DUKE MATHEMATICAL JOURNAL
卷 169, 期 11, 页码 2079-2124出版社
DUKE UNIV PRESS
DOI: 10.1215/00127094-2020-0013
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资金
- National Science Foundation (NSF) [DMS-1500829]
- NSF [DMS-1712841]
- Alfred P. Sloan Foundation
We prove that the convex peeling of a random point set in dimension d approximates motion by the 1/(d + 1) power of Gaussian curvature. We use viscosity solution theory to interpret the limiting partial differential equation (PDE). We use the martingale method to solve the cell problem associated to convex peeling. Our proof follows the program of Armstrong and Cardaliaguet for homogenization of geometric motions, but with completely different ingredients.
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