1. An averaging theorem for a perturbed KdV equation, Nonlinearity, 26: 1599- 1621, 2013.
2. An averaging theorem for nonlinear Schrödinger equations with small nonlin- earities, DCDS-A , 34(9), 3555-3574, 2014, arXiv:1312.0759.
3. On long-time dynamics of perturbed KdV equations, Journal of Dynamical and Control Systems, 21(3): 379-400, 2015, arXiv:1310.5462.
4. KdV equation under periodic boundary conditions and its perturbations (with Sergei KUKSIN), Nonlinearity, 27(9), R61-R88, 2015, arXiv:1309.1597.
5. Long-time dynamics of resonant weakly nonlinear CGL equations, Journal of Dynamics and Differential Equations , 28, no.2 375-387 2016, arXiv: 1407.1156, DOI: 10.1007/s10884-014-9391-0.
6. Time-averaging for weakly nonlinear CGL equations with arbitrary potentials (with Sergei KUKSIN and Alberto MAOICCHI), Fields Institute Communica-tions, 75:323-349, 2015, arXiv: 1411.2143.
7. On energy transferring in a periodic pendulum lattice with analytic weak cou-plings, Annales Henri Poincaré, 18 (6): 2087-2121, 2017, DOI: 10.1007/s00023-017-0561-6.
8. On the Marked Length Spectrum of Generic Strictly Convex Billiard Tables (with Vadim KALOSHIN and Alfonso SORRENTINO), Duke Mathematical Journal, 167 (1): 175 - 209, 2018 arXiv: 1603.08838.
9. Nearly Circular Domains Which Are Integrable Close to the Boundary Are Ellipses (with Vadim KALOSHIN and Alfonso SORRENTINO), Geom. Funct. Anal.(GAFA), 28 (2): 334-392, 2018 arXiv:1705.10601.
10. On the finite dimensionality of integrable deformations of strictly convex inte- grable billiard tables (with Vadim KALOSHIN), Mosc. Math. J. 19, no. 2,307-327, 2019.
11. On the energy transfer to high frequencies in the damped/driven nonlin-ear Schrödinger equation (with Sergei KUKSIN), Stoch PDE: Anal Comp https://doi.org/10.1007/s40072-020-00187-2, 2021, arXiv 2006.11518 .
12. On the integrability of strictly convex billiard tables with boundaries close to ellipses with small eccentricities, Acta Math Sinica English Series, 38(1), 55-67, 2022.
13. On averaging and mixing for stochastic PDEs (with Sergei Kuksin), Journal of Dynamics and Differential Equations (published online), arXiv:2203.15622, 2022.
14. Averaging and mixing for stochastic perturbations of linear conservative sys-tems (with Sergei Kuksin), Russian Mathematical Surveys (78) 3-52, 2023
