The Intrinsic Geometry of Some Random Manifolds

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. Par...

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Veröffentlicht in:	arXiv.org 2015-12
Hauptverfasser:	Sunder Ram Krishnan, Taylor, Jonathan E, Adler, Robert J
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Euclidean geometry Manifolds (mathematics) Mathematics - Differential Geometry Mathematics - Probability
Online-Zugang:	Volltext
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