Ilya Kachkovskiy

most citedA Hilbert-Schmidt analog of Huaxin Lin's Theorem

10 citations · 11 across the 2 of their papers we have counts for

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math.SP2024★ 1 cited

Sharp arithmetic localization for quasiperiodic operators with monotone potentials

Svetlana Jitomirskaya, Ilya Kachkovskiy

We prove the universality of sharp arithmetic localization for all one-dimensional quasiperiodic Schrödinger operators with anti-Lipschitz monotone potentials.

math.SP2010★ 10 cited

A Hilbert-Schmidt analog of Huaxin Lin's Theorem

Nikolay Filonov, Ilya Kachkovskiy

The paper is devoted to the following question: consider two self-adjoint $n \times n$ -matrices $H_{1}, H_{2}$ , $∥ H_{1} ∥ \leq 1$ , $∥ H_{2} ∥ \leq 1$ , such that their commutator $[H_{1}, H_{2}]$ is…