29 citations · 92 across the 16 of their papers we have counts for
4 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…
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…