19.07.2024, 10:15 - 11:30
– 2.28.0.108
SFB-Kolloquium
SFB Colloquium with Edriss Titi
Edriss Titi , University of Cambridge
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.