275 citations · 1.1k across the 37 of their papers we have counts for
45 papers
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…
The linearized Calderon problem in transversally anisotropic geometries
David Dos Santos Ferreira, Yaroslav Kurylev, Matti Lassas +2
In this article we study the linearized anisotropic Calderon problem. In a compact manifold with boundary, this problem amounts to showing that products of harmonic functions form…
Reconstruction and stability in Gel'fand's inverse interior spectral problem
Roberta Bosi, Yaroslav Kurylev, Matti Lassas
Assume that is a compact Riemannian manifold of bounded geometry given by restrictions on its diameter, Ricci curvature and injectivity radius. Assume we are given, with some e…
Hyperbolic inverse problem with data on disjoint sets
Yavar Kian, Yaroslav Kurylev, Matti Lassas +1
We consider a restricted Dirichlet-to-Neumann map associated to a wave type operator on a Riemannian manifold with boundary. The restriction corresponds to the case where the Diric…
Inverse problems for the connection Laplacian
Yaroslav Kurylev, Lauri Oksanen, Gabriel P. Paternain
We reconstruct a Riemannian manifold and a Hermitian vector bundle with compatible connection from the hyperbolic Dirichlet-to-Neumann operator associated with the wave equation of…
Reconstruction and interpolation of manifolds I: The geometric Whitney problem
Charles Fefferman, Sergei Ivanov, Yaroslav Kurylev +2
We study the geometric Whitney problem on how a Riemannian manifold can be constructed to approximate a metric space . This problem is closely related to manifold…