29 citations · 92 across the 16 of their papers we have counts for
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Approximations of the connection Laplacian spectra
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev +1
We consider a convolution-type operator on vector bundles over metric-measure spaces. This operator extends the analogous convolution Laplacian on functions in our earlier work to…
Quantitative stability of Gel'fand's inverse boundary problem
Dmitri Burago, Sergei Ivanov, Matti Lassas +1
In Gel'fand's inverse problem, one aims to determine the topology, differential structure and Riemannian metric of a compact manifold with boundary from the knowledge of the bo…
A graph discretization of the Laplace-Beltrami operator
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev
We show that eigenvalues and eigenfunctions of the Laplace-Beltrami operator on a Riemannian manifold are approximated by eigenvalues and eigenvectors of a (suitably weighted) grap…