3 citations · 7 across the 9 of their papers we have counts for
3 papers · 1 filter
The Intrinsic Geometry of Some Random Manifolds
Sunder Ram Krishnan, Jonathan E. Taylor, Robert J. Adler
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 c…
Random knots using Chebyshev billiard table diagrams
Moshe Cohen, Sunder Ram Krishnan
We use the Chebyshev knot diagram model of Koseleff and Pecker in order to introduce a random knot diagram model by assigning the crossings to be positive or negative uniformly at…
Convergence of the Reach for a Sequence of Gaussian-Embedded Manifolds
Robert J. Adler, Sunder Ram Krishnan, Jonathan E. Taylor +1
Motivated by questions of manifold learning, we study a sequence of random manifolds, generated by embedding a fixed, compact manifold into Euclidean spheres of increasing dime…