Prizes and Distinctions:

• Ukrainian State Prize in Science and Technology, 1985.
• N.N.Bogolyubov Prize of the National Academy of Sciences of Ukraine, 2002.
• M.V.Ostrogradkii Prize of the National Academy of Sciences of Ukraine, 2010.
• Doctor "Honoris Causa", Ruhr University, Bochum, Germany, 2011.
• Doctor "Honoris Causa", Kharkiv National University, Kharkiv, Ukraine, 2013.
• Doctor "Honoris Causa", Bogolyubov Institute of Theoretical Physics, Kiyv, Ukraine, 2018.
• Honoured Worker of Science and Technology of Ukraine, 2019.
• Senior Whitehead Prize of the London Mathematical Society, 2025.

Languages:

Ukrainian, Russian, English, French

Education:

Field of Scientific Interest:

Theoretical and Mathematical Physics of Disordered Systems, Spectral Theory of Operators, Applied Probability

Professional Societies and Organizations:

• American Mathematical Society (Fellow).
• European Mathematical Society International Association of Mathematical Physics.
• Kharkiv Mathematical Society.

Professional Experience:

Educational Activity:

Member of Editirial board:

Publications:

Number of papers: 207 (in the refereed journals - 195)

Selected Publications for the last 10 years:

1. Entanglement entropy of free fermions with a random matrix as a one-body Hamiltonian (with V. Slavin), Entropy 26, 564 (2024) 23
2. Irregular gyration of a two-dimensional random-acceleration process in a confining potential (with V. Dotsenko, G. Oshanin, and P. Viot), J. of Statistical Physics 191:27 (2024) 28pp
3. The law of multiplication of large random matrices revisited., Journal of Mathematical Physics, Analysis, Geometry, 19, 191-210 (2023)
4. On random matrices arising in deep neural networks: general I.I.D. case (with V. Slavin), Random Matrices: Theory and Applications 12, 2250046 (2023) 41pp
5. Eigenvalue distribution of large random matrices arising in deep neural networks: Orthogonal case, Journal of Mathematical Physics 63, 063505 (2022) 18pp
6. One-dimensional narrow-band conductors (with V. V. Slavin, and A. A. Krivchikov), Low Temperature Physics 47, 779-803 (2021)
7. The dynamics of quantum correlations of two qubits in a common environment (with E. Bratus), Journal of Mathematical Physics, Analysis, Geometry 16, 228-262 (2020)
8. On random matrices arising in deep neural networks: Gaussian case, Pure and Applied Analysis 6, 1395-1424 (2020)
9. Dynamics of two qubits in a common environment (with E. Bratus), Reviews in Mathematical Physics 33, 2060008 (2020) 13pp
10. Accumulation of spin-polarized states of charge carriers and a spintronic battery (with V. Slavin and A. Yanovsky), Low Temperature Physics 46, 857-868 (2020)
11. How much delocalisation is needed for an enhanced area law of the entanglement entropy? (with P. Muller, R. Schulte), Communications in Mathematical Physics 376, 649-676 (2020)
12. Szegö-type theorems for one-dimensional Schr¨odinger operator with random potential (smooth case) (with M. Shcherbina), J. of Mathematical Physics, Analysis, Geometry 14, 362-388, (2018)
13. The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension (with V. Slavin), J. of Statistical Physics 170, 207-220 (2018)
14. On the ballistic transport in channels with negative refraction of particles (with V. Slavin and A.Yanovsky), Low Temperature Physics 44, 905-913 (2018)
15. On the qubits dynamics in a random matrix environment (with E. Bratus), J. Phys. Commun. 2, 015017 (2018) 17pp
16. Large block properties of the entanglement entropy of free disordered fermions (with A. Elgart and M. Shcherbina), J. of Statistical Physics 166, 1092-1127 (2017)
17. Shannon’s mutual information of multiple antenna time and frequency-dependent channels: an ergodic operator approach (with W.Hachem and A. Moustakas). J. of Mathematical Physics, 56, n.11, 113501 (2015) 29pp
18. On a limiting distribution of singular values of random band matrices (with A. Lytova) Mathematical Physics, Analysis, Geometry, 11, no. 4, 311-332 (2015)
19. On the equilibrium state of a small system with random matrix coupling to its environment (with J.L.Lebowitz), J. Phys. A 48, no. 26, 265201 (2015) 19pp
20. Area law scaling for the entropy of disordered quasi-free fermions (with V.Slavin), Phys. Rev. Letters. 113, 150404 (2014) 4pp.
21. The Central Limit Theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one (with O. Guedon, A. Lytova, A. Pajor), In: Spectral Theory and Differential Equations, 145-164, Amer. Math. Soc. Transl. Ser. 2, 233, Amer. Math. Soc., Providence, RI, 2014
22. Ground state of one-dimensional repulsing particles on a disordered lattice (with V.V. Slavin, A.A. Krivchikov), Internat. J. Modern Phys. C 25, no. 8, 1450028 (2014) 17 pp.
23. Thomas precession, persistent spin currents and quantum forces (with S. Ouvry, A. Yanovsky), Europhysics Letters 106 18001 (2014) 6pp.