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Kuksin Sergei Borisovich
(recent publications)
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2026 |
| 1. |
Sergei Kuksin, Armen Shirikyan, “Markovian reduction and exponential mixing in total variation for random dynamical systems”, J. Dyn. Differ. Equations, 2026, 1–18 (Published online) |
| 2. |
S. B. Kuksin, “Two approaches to averaging stochastic perturbations of integrable systems”, Differential and functional differential equations, CMFD, 72, no. 1, PFUR, M., 2026, 92–101 |
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2025 |
| 3. |
S. V. Bolotin, O. È. Zubelevich, V. V. Kozlov, S. B. Kuksin, A. I. Neishtadt, “Dmitry Valerievich Treschev (on his sixtieth birthday)”, Russian Math. Surveys, 80:1 (2025), 155–160 |
| 4. |
T. Bakiev, A. I. Bufetov, V. A. Vassiliev, S. M. Voronin, A. A. Glutsyuk, A. S. Gorodetski, A. V. Dukov, V. Yu. Kaloshin, A. V. Klimenko, V. V. Kozlov, S. B. Kuksin, S. K. Lando, V. S. Oganesyan, G. I. Olshanski, S. Yu. Pilyugin, O. V. Pochinka, Ya. G. Sinai, A. S. Skripchenko, A. L. Skubachevskii, I. A. Taimanov, V. A. Timorin, V. M. Tikhomirov, D. V. Treschev, D. A. Filimonov, K. M. Khanin, H. Hedenmalm, A. G. Khovanskii, M. A. Tsfasman, A. I. Shafarevich, I. S. Shilin, S. Yu. Yakovenko, “On the 80th birthday of Yulij Sergeevich Ilyashenko”, Russian Math. Surveys, 80:2 (2025), 345–357 |
| 5. |
Sergei Kuksin, Armen Shirikyan, “Mixing for dynamical systems driven by stationary noises”, Geom. Funct. Anal., 35 (2025), 1346–1399
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1
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2024 |
| 6. |
Andrey V. Dymov, Sergei B. Kuksin, “On the Newton–Kantorovich Scheme for Evolutionary Equations”, Proc. Steklov Inst. Math., 327 (2024), 70–77 |
| 7. |
S. B. Kuksin, A. R. Shirikyan, “Mixing in stochastic dynamical systems with stationary noise”, Russian Math. Surveys, 79:6 (2024), 1098–1100 |
| 8. |
Sergei Kuksin, “The K41 theory and turbulence in 1D Burgers equation”, Chaos, 34:2 (2024), 22103–1
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3
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| 9. |
Sergei Kuksin, “Stochastic in 1d Burgers equation as a model for hydrodynamical turbulence”, Mosc. Math. J., 24:4 (2024), 603–640 |
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2023 |
| 10. |
Russian Math. Surveys, 78:4 (2023), 585–633 |
| 11. |
Andrey Dymov, Sergey Kuksin, “Formal expansions in stochastic model for wave turbulence 2: Method of diagram decomposition”, J. Stat. Phys., 190 (2023), 3, 61 pp., arXiv: 1907.02279
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10
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| 12. |
S. G. Vlăduţ, A. V. Dymov, S. B. Kuksin, A. Maiocchi, “A refinement of Heath-Brown's theorem on quadratic forms”, Sb. Math., 214:5 (2023), 627–675 |
| 13. |
A. V. Bobylev, S. B. Kuksin, “Boltzmann equation and wave kinetic equations”, Keldysh Institute preprints, 2023 |
| 14. |
Andrey Dymov, Sergei Kuksin, Alberto Maiocchi, Sergei Vlăduţ, “The Large-Period Limit for Equations of Discrete Turbulence”, Ann. Henri Poincaré, 24 (2023), 3685–3739
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6
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2021 |
| 15. |
Andrey Dymov, Sergei Kuksin, “Formal expansions in stochastic model for wave turbulence 1: kinetic limit”, Comm. Math. Phys., 382 (2021), 951–1014, arXiv: 1907.04531
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22
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2020 |
| 16. |
W. Jian, S. B. Kuksin, Y. Wu, “Krylov–Bogolyubov averaging”, Russian Math. Surveys, 75:3 (2020), 427–444 |
| 17. |
A. V. Dymov, S. B. Kuksin, “On the Zakharov–Lvov stochastic model for wave turbulence”, Dokl. Math., 101:2 (2020), 102–109 |
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2018 |
| 18. |
Sergei Kuksin, “Asymptotic properties of integrals of quotients when the numerator oscillates and the denominator degenerates”, Zhurn. matem. fiz., anal., geom., 14:4 (2018), 510–518
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2
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2016 |
| 19. |
L. H. Eliasson, B. Grébert, S. B. Kuksin, “A KAM theorem for space-multidimensional Hamiltonian PDEs”, Proc. Steklov Inst. Math., 295 (2016), 129–147 |
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2013 |
| 20. |
S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Russian Math. Surveys, 68:2 (2013), 335–348 |
| 21. |
M. S. Agranovich, A. V. Babin, A. S. Demidov, Yu. A. Dubinskii, A. I. Komech, S. B. Kuksin, A. P. Kuleshov, V. P. Maslov, S. P. Novikov, V. M. Tikhomirov, A. V. Fursikov, V. V. Chepyzhov, A. I. Shnirelman, M. A. Shubin, G. I. Eskin, “Marko Iosifovich Vishik (obituary)”, Russian Math. Surveys, 68:2 (2013), 383–387 |
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