Overview
Research Focus
Research areas: Analysis, Probability and Statistics
I mainly work on development of methods of high-dimensional and infinite-dimensional noncommutative analysis for problems arising in mathematical physics, noncommutative geometry, applied matrix analysis, and, more recently, statistical estimation.
Publications
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MSE bounds for estimators of matrix functions, Linear Algebra and its Applications, 609 (2021), 231-252
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Multilinear Operator Integrals: Theory and Applications (with A. Tomskova), Lecture Notes in Mathematics, 2250, Springer, 2019, XI+192 pp
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Multilinear Schur multipliers and applications to operator Taylor remainders (with D. Potapov, F. Sukochev, A. Tomskova), Advances in Mathematics, 320 (2017), 1063-1098
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Estimates and trace formulas for unitary and resolvent comparable perturbations, Advances in Mathematics, 311 (2017), 481-509
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Spectral shift function of higher order (with D. Potapov, F. Sukochev), Inventiones Mathematicae, 193 (2013), no. 3, 501-538
