275 citations · 1.1k across the 37 of their papers we have counts for
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Spectral stability of metric-measure Laplacians
Dmitri Burago, Sergei Ivanov, Yaroslav Kurylev
We consider a "convolution mm-Laplacian" operator on metric-measure spaces and study its spectral properties. The definition is based on averaging over small metric balls. For reas…
Introduction to spectral theory and inverse problem on asymptotically hyperbolic manifolds
Hiroshi Isozaki, Yaroslav Kurylev
We study the spectral theory and inverse problem on asymptotically hyperbolic manifolds. The main subjects are as follows: (1)Location of the essential spectrum. (2)Absence of eige…
Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem
Michael T. Anderson, Atsushi Katsuda, Yaroslav Kurylev +2
This paper explores and ties together three themes. The first is to establish regularity of a metric tensor, on a manifold with boundary, on which there are given Ricci curvature b…