Вьюгин И. В., Дудникова Л. А. Стабильные расслоения и проблема Римана–Гильберта на римановой поверхности // Математический сборник. 2024. Т. 215. № 2. С. 3-20
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Orders of Zeros of Polynomials in Solutions to the Fuchsian Differential Equation / Пер. с рус. // Journal of Mathematical Sciences. 2023. Vol. 270. P. 665-673. doi
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О полиномиальном варианте задачи сумм-произведений для подгрупп / Пер. с англ. // Математические заметки. 2023. Т. 113. № 1. С. 3-10.
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Large deviation limits of invariant measures, Stochastics and Dynamics, v.23, No. 7 (2023) 2350052 (28 pages) (available upon request)
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Shadowing property for non-autonomous dynamical systems. Contemporary Mathematics. Fundamental Directions, 69:1 (2023), 50–61.
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Mathematika 69:2(2023), 349-365. https://doi.org/10.1112/mtk.12187
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Polynomial Equations in Subgroups and Applications // Analysis at Large: Dedicated to the Life and Work of Jean Bourgain / Ed. by Artur Avila, M. T. Rassias, Yakov Sinai. Switzerland : Springer, P. 273-297, 2022.
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Moderate deviation asymptotics of the GI/G/n queue in the Halfin-Whitt regime, Queueing systems, v.100, 341-343
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On the metastabiltiy of a loss network with diminishing rates, Markov Processes Relat. Fields, 28, 365-398
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Invariant measures of torus piecewise isometries. Advances in Mathematics 406 (17 September 2022), 108529
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Shadowing property re(al)visited Abstracts of the 9th International Conference on Differential and Functional Differential Equations, Moscow, Russia, June 28 – July 5, 2022. pp.18-20.
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On dispersive estimates for one-dimensional Klein-Gordon equations, Asymptotic Analysis. 127 (2022) n. 1-2, 1-13.

Recurrence for measurable semigroup actions. Discrete & Continuous Dynamical Systems - A, 41:4(2021), 1649-1665. doi: 10.3934/dcds.2020335

On spectral and orbital stability for the Klein--Gordon equation coupled to an anharmonic oscillator, Comm. Pure Appl. Anal., 20 (2021), no. 6, 2187-2209.

Large deviation limits of invariant measures. A talk at the Chebyshev 200 international conference
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Recurrence for general Markov chains and semigroups of measurable maps. Bernoulli-IMS One World Symposium 2020. from August 24th to August 28th 2020.
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Topological properties of measurable semigroup actions. Topology, Geometry, and Dynamics: Rokhlin - 100 Conference dedicated to the 100th anniversary of Vladimir Abramovich Rokhlin, August 19-23, 2019, pp.22-23.
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Recurrence for free semigroups of measurable maps. Russian Mathematical Surveys, 74:4 (2019), 758-760.
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Topological and metric recurrence for general Markov chains. Moscow Math. J. 19:1(2019), 37–50.
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Геометрия больших очередей, Проблемы передачи информации, т.55, вып.2, с.82-111. Исправления
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Large deviations of the long term distribution of a non Markov process, Electron. Commun. Probab. 24(35), 1–11.
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On long term investment optimality, Applied Mathematics & Optimization, 80(1), 1–62
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On dispersion decay for 3D Klein-Gordon equation, Discrete and Continuous Dynamical Systems-A, 38 (2018) no. 11. 5765-5780.

On global attraction to stationary states for wave equations with concentrated nonlinearities, J. Dynamics and Differential Equations., 30, (2018), no. 1, pp 107--116.

Topological, metric (Harris) and Poincare recurrences for general Markov chains. IX Moscow International Conference on Operations Research (ORM2018), Moscow, October 22-27, 2018. Proceedings, Vol.1, 325-328.

Non-ergodicity and non-Markovianity of some simple traffic flow models. IX Moscow International Conference on Operations Research (ORM2018), Moscow, October 22-27, 2018. Proceedings, Vol.1, 269-272

On global attraction to solitary waves for the Klein -Gordon equation with concentrated nonlinearity, Nonlinearity, 30 (2017), no. 11, 4191-4207.

Ergodic averaging with and without invariant measures, Nonlinearity 30:12(2017), 4649-4664.

Abundance of typical points in measurable dynamics, International Conference Contemporary mathematics in honor of the 80th birthday of Vladimir Arnold, Moscow, December 18-23, 2017.

Dynamical Averaging with Respect to a Non-Invariant Measure"", Book of abstracts. The 8th International Conference on Differential and Functional Differential Equations, Moscow, August 13-20, 2017 (DFDE-2017), p.27.

On the dispersion estimates for the one-dimensional Schroedinger and Klein-Gordon equations. Revizited. Russian Math. Surveys, 71 (2016), no. (429), 391-415.

On global well-posedness for Klein-Gordon equation with concentrated nonlinearity. J. Math. Anal. Appl., 443 (2016), no. 2, 1142-1157.

Dispersion estimates for one-dimensional discrete Dirac equations, J. Math. Anal. Appl., 434 (2016), no. 1, 191-208.

How to divide the indivisible, Doklady Akademii Nauk, 471:6(2016), 635–639. Doklady Mathematics, 94:3(2016), 688–691.

Typical points in chaotic dynamics, Book of abstracts. International conference “Anosov Systems and Modern Dynamics”, Moscow, December 19–23, 2016, pp.16-19.

On ergodic averaging with and without invariant measure, Proceedings of VIII Moscow International Conference on Operations Research (ORM 2016) 17-22.10.16, p.208-209.

Fresh look at fair division problems: case with a massive discrete component, Proceedings of VIII Moscow International Conference on Operations Research (ORM 2016) 17-22.10.16, p.89-90.

Massive/meager sets of typical points, Mathematics, Theoretical Physics and Data Science 2016 (dedicated to anniversaries of Yakov Sinai and Grigory Margulis). July 5-7, (2016).

The Problem of Fair Division for a Hybrid Resource, Problemy Peredachi Informacii, 52:3(2016), 108-116. Problems of Information Transmission, 52:3(2016), 201-209.

On the Birkhoff theorem with respect to a non-invariant measure, Uspekhi Mat. Nauk, 71:3(2016), 199-200.

Self-Organization under the Action of a Random Force, Doklady Akademii Nauk, 466:3(2016), 257-260. Doklady Mathematics, 93:1(2016), 1–4.

Dispersion estimates for one-dimensional discrete Schroedinger and wave equations, J. Spectr. Theory, 5 (2015), no. 4, 663-696.

Dynamics of alternating functions, Doklady Akademii Nauk, 461:2(2015), 131-135. Doklady Mathematics, 91:2(2015), 150-153.

Solvability of linear differential systems with small exponents in the Liouvillian sense, Arnold Math. J., 2015, V. 1(4), P. 445-471.
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On the eigenfunction expansion for Hamilton operators. J. Spectr. Theory 5 (2015), no. 2, 331–361

Weighted energy decay for magnetic Klein-Gordon equation. Appl. Anal. 94 (2015), no. 2, 219–233.

Limiting absorption principle for the 1D discrete Dirac equation. Russ. J. Math. Phys. 22 (2015), no. 1, 34–38

Ergodic properties of a chaotic collective walk governed by Anosov maps, Book of abstracts. The Seventh International Conference on Differential and Functional Differential Equations, August 22-29, 2014 (DFDE-2014)

Ergodicity of a collective random walk on a circle, Nonlinearity, 27:5 (2014) 953-971.

On dispersion decay for discrete wave equations. Commun. Math. Anal. 17 (2014), no. 2, 209–216.