Research

Publications and preprints

Random permutations from q-Demazure products (2026) • arXiv:2604.06532 [math.PR]
(with L. Petrov) Asymptotics of noncolliding q-exchangeable random walks (2023) • Journal of Physics A: Mathematical and Theoretical, 56(36) • arXiv:2303.02380 [math.PR]
(with I. Mursenkova, M. Timokhin, A. Militsina, A. Kuznetsov) Digital processing of shadowgraph images taking into account the diffraction of light at a shock front (2021) • Journal of Physics: Conference Series, Volume 2127
(with M. Timokhin, I. Mursenkova and I. Znamenskaya) Shock-wave Thickness Influence to the Light Diffraction on a Plane Shock Wave (2020) • Physics of Fluids 32, 116103
(with L. Petrov) Parameter symmetry in perturbed GUE corners process and reflected drifted Brownian motions (2020) • Journal of Statistical Physics, 181, 1996–2010 • arXiv:1912.08671 [math.PR]
(with M. Timokhin) Numerical simulations of micro-channel devices with Lattice Boltzmann method (2019) • AIP Conference Proceedings, Volume 2132, Issue 1

Integrable probability, KPZ, vertex models, YBE, random permutations, random field Ising model.

Spin systems, random matrices, determinantal point processes, algebraic combinatorics, symmetric polynomials.