Curriculum Vitae in pdf

List of publications in pdf

Research interests: spectral properties of random operators and matrices, theoretical physics of disordered systems, random matrices and their applications

Recent publications

2014

Thomas precession, persistent spin currents and quantum forces. Europhysics Letters, 106, (2014), 18001, 6 pp., (coauthors S. Ouvry, A. Yanovsky).

Ground state of one-dimension repulsing particles on disordered lattice. Internat. J. Modern Phys. C, 25, (2014), № 8, 1450028 , p. 17 (coauthors V. Slavin, A. Krivchikov).

The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one. In: Spectral Theory and Differential Equations, 145–164, Amer. Math. Soc. Transl. Ser. 2, 233, Amer. Math. Soc., Providence, RI, (2014) (coauthors O. Guedon, A. Lytova, A. Pajor).

Area law scaling for the entropy of disordered quasifree fermions. Phys. Rev. Letters, 113, (2014), 150404, 4 pp. (coauthor V. Slavin).

2015

Analogues of Szego's theorem for ergodic operators. Mat. Sb. 206, (2015), № 1, 103-130, translation in Sb. Math. 206 (2015), № 1-2, 93-119 (coauthor W. Kirsch).

On the equilibrium state of a small system with random matrix coupling to its environment. J. Phys. A, 48, (2015), № 26, 265201, 19 pp., (coauthor J. Lebowitz).

Examples of random Schroedinger-type operators with non-Poissonian spectra, Markov Processes and Related Fields, 21, (2015), № 3, 713 – 749 (coauthors S. Molchanov, E. Ray).

On a limiting distribution of singular values of random band matrices. J. Analysis, Mathematical Physics, Geometry, 11, (2015), № 4, 311–332 (coauthor A. Lytova).

The Shannon's mutual information of a multiple antenna time and frequency dependent channels: an ergodic operator approach. Journal of Mathematical Physics, 56, (2015), № 11, 113501, 29 pp., (coauthors W. Hachem, A. Moustakas).

2017

Large block properties of the entanglement entropy of disordered fermions. Journal of Statistical Physics, 165, (2017) № 6, 1023-1059 (coauthors A. Elgart, M.Shcherbina).

2018

On the qubits dynamics in random matrix environment. J. Phys. Commun., 2, (2018), 015017 (coauthor E.Bratus).

On the ballistic transport in channels with negative refraction of particles. Low Temperature Physics, 44, (2018), 905 (coauthors V. Slavin, and A.Yanovsky).

The absence of the selfaveraging property of the entanglement entropy of disordered free fermions in one dimension. J. of Statistical Physics, 170, (2018), 207 (coauthor V. Slavin)

Szegö-type theorems for one-dimensional Schrödinger operator with random potential (smooth case). J. of Mathematical Physics, Analysis, Geometry, 14, (2018), 362-388 (coauthor M.Shcherbina).

2020

On the limit distribution of the canonical correlation coefficients between the past and future of a high-dimensional white noise. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 4-8 May 2020 (virtual conference). IEEE Publishing, USA, pp. 8772-8776 (coauthors P.Loubaton and D. Teplova).

How much delocalisation is needed for an enhanced area law of the entanglement entropy? Communications in Mathematical Physics, 376, (2020), 649 (coauthors P. Muller, R. Schulte).

Accumulation of spin-polarized states of charge carriers and a spintronic battery. Low Temperature Physics, 46, (2020), 724-733 (coauthors V. Slavin and A. Yanovsky).

Dynamics of two qubits in common environment. Reviews in Mathematical Physics, 32, (2020), 2060008 (coauthor E.Bratus).

On random matrices arising in deep neural networks: Gaussian case. Pure and Applied Functional Analysis, 6, (2020), 1395.

The dynamics of quantum correlations of two qubits in a common environment J. of Mathematical Physics, Analysis, Geometry, 16, (2020), 228 (coauthor E. Bratus).

2021

One-dimensional narrow-band conductors. Low Temperature Physics, 47, (2021), 779 (coauthors V. V. Slavin, and A. A. Krivchikov)

2022

Eigenvalue distribution of large random matrices arising in deep neural networks: Orthogonal case. J. of Mathematical Physics, 63, (2022), 063505.

2023

On random matrices arising in deep neural networks: general I.I.D. case. Random Matrices: Theory and Applications, 12, (2023), 2250046, 41pp (coauthor V. Slavin).

2024

Irregular gyration of a two-dimensional random-acceleration process in a confining potential. J. of Statistical Physics (2024) 191:27 (coauthors V. Dotsenko, G. Oshanin, and P. Viot)