Publication Type : Journal Article
Publisher : Electronic Communications in Probability
Source : Electronic Communications in Probability, vol. 22, no. 1, pp. 1–12, Jan. 2017.
Campus : Amritapuri
School : School of Computing
Department : Computer Science and Engineering
Year : 2017
Abstract : We study the a.s. convergence of a sequence of random embeddings of a fixed manifold into Euclidean spaces of increasing dimensions. We show that the limit is deterministic. As a consequence, we show that many intrinsic functionals of the embedded manifolds also converge to deterministic limits. Particularly interesting examples of these functionals are given by the Lipschitz-Killing curvatures, for which we also prove unbiasedness, using the Gaussian kinematic formula.
Cite this Research Publication : S. R. Krishnan, J. E. Taylor, and R. J. Adler, “The intrinsic geometry of some random manifolds,” Electronic Communications in Probability, vol. 22, no. 1, pp. 1–12, Jan. 2017
