26.04.2024, 15:00
– 2.09.0.14
Forschungsseminar: Gruppen und Operatoralgebren
Properties of affine cellular algebras
Christian Lomp (University of Porto)
Moritz Gerlach (Potsdam)
Given a finite sequence of n samples drawn independently at random from a compact submanifold of the Euclidean space, we study the asymptotic behavior of Laplacians on the epsilon-neighborhood graph of this sample set. We show that their eigenvalues and eigenvectors converge to the eigenvalues and eigenfunctions of certain realizations of the Laplace-Beltrami operator as n tends to infinity.