29 citations · 187 across the 52 of their papers we have counts for
7 papers · 1 filter
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…
On homology of Lie algebras over commutative rings
Sergei O. Ivanov, Fedor Pavutnitskiy, Vladislav Romanovskii +1
We study five different types of the homology of a Lie algebra over a commutative ring which are naturally isomorphic over fields. We show that they are not isomorphic over commuta…
Flexibility of sections of nearly integrable Hamiltonian systems
Dmitri Burago, Dong Chen, Sergei Ivanov
Given any symplectomorphism on which is close to the identity, and any completely integrable Hamiltonian system in the proper dimension, we…
Key ideas behind perturbing any completely integrable Hamiltonian system obtaining volume entropy non-expansiveness
Dmitri Burago, Dong Chen, Sergei Ivanov
This paper is an announcement of a result followed with explanations of some ideas behind. The proofs will appear elsewhere. Our goal is to construct a Hamiltonian perturbation of…
Distance difference functions on non-convex boundaries of Riemannian manifolds
Sergei Ivanov
We show that a complete Riemannian manifold with boundary is uniquely determined, up to an isometry, by its distance difference representation on the boundary. Unlike previously kn…