Alexey Korepanov

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Publications and preprints:

1. Improved polynomial rates of memory loss for nonstationary intermittent dynamical systems
   Alexey Korepanov and Juho Leppänen
   arXiv:2410.20994
2. Superdiffusive limits beyond the Marcus regime for deterministic fast-slow systems
   Ilya Chevyrev, Alexey Korepanov and Ian Melbourne
   Communications of the American Mathematical Society, to appear
   arXiv:2312.15734, https://khumarahn.github.io/CKM23
3. Rates in almost sure invariance principle for nonuniformly hyperbolic maps
   Christophe Cuny, Jérôme Dedecker, Alexey Korepanov and Florence Merlevède
   Communications in Mathematical Physics, 405 (2024)
   arXiv:2307.12714
4. Statistical aspects of mean field coupled intermittent maps
   Wael Bahsoun and Alexey Korepanov
   Ergodic Theory and Dynamical Systems, 44 (2024)
   arXiv:2303.05311
5. Rates of mixing for the measure of maximal entropy of dispersing billiard maps
   Mark F. Demers and Alexey Korepanov
   Proceedings of the London Mathematical Society, 128 (2024)
   arXiv:2204.04684
6. Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 1
   Alexey Korepanov, Zemer Kosloff and Ian Melbourne
   Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 58 (2022)
   arXiv:2006.11422
7. Deterministic homogenization under optimal moment assumptions for fast-slow systems. Part 2
   Ilya Chevyrev, Peter K. Friz, Alexey Korepanov, Ian Melbourne and Huilin Zhang
   Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 58 (2022)
   arXiv:1903.10418
8. Loss of memory and moment bounds for nonstationary intermittent dynamical systems
   Alexey Korepanov and Juho Leppänen
   Communications in Mathematical Physics, 385 (2021)
   arXiv:2007.07616
9. On the timescale at which statistical stability breaks down
   Neil Dobbs and Alexey Korepanov
   Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 38 (2021)
   arXiv:1807.03652
10. Rates in almost sure invariance principle for quickly mixing dynamical systems
    Christophe Cuny, Jérôme Dedecker, Alexey Korepanov and Florence Merlevède
    Stochastics and Dynamics, 20 (2020)
    arXiv:1811.09094
11. Superdiffusive limits for deterministic fast-slow dynamical systems
    Ilya Chevyrev, Peter K. Friz, Alexey Korepanov and Ian Melbourne
    Probability Theory and Related Fields, 178 (2020)
    arXiv:1907.04825
12. Rates in almost sure invariance principle for slowly mixing dynamical systems
    Christophe Cuny, Jérôme Dedecker, Alexey Korepanov and Florence Merlevède
    Ergodic Theory and Dynamical Systems, 40 (2020)
    arXiv:1801.05335
13. Multiscale systems, homogenization, and rough paths
    Ilya Chevyrev, Peter K. Friz, Alexey Korepanov, Ian Melbourne and Huilin Zhang
    Proceedings Varadhan 75: Probability and analysis in interacting physical systems. Springer, 2019
    arXiv:1712.01343
14. Autonomous evolution of electron speeds in a thermostatted system: exact results
    Federico Bonetto, Nikolai Chernov, Alexey Korepanov and Joel Lebowitz
    Nonlinearity, 32 (2019)
    arXiv:1809.00016
15. Explicit coupling argument for nonuniformly hyperbolic transformations
    Alexey Korepanov, Zemer Kosloff and Ian Melbourne
    Proceedings of the Royal Society of Edinburgh, 149 (2019)
    arXiv:1602.03795
16. Rates in almost sure invariance principle for dynamical systems with some hyperbolicity
    Alexey Korepanov
    Communications in Mathematical Physics, 363 (2018)
    arXiv:1703.09176
17. Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle
    Alexey Korepanov
    Communications in Mathematical Physics, 359 (2018)
    arXiv:1701.03652
18. Martingale-coboundary decomposition for families of dynamical systems
    Alexey Korepanov, Zemer Kosloff and Ian Melbourne
    Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 35 (2018)
    arXiv:1608.01853
19. Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems
    Alexey Korepanov, Zemer Kosloff and Ian Melbourne
    Studia Mathematica, 238 (2017)
    arXiv:1509.06772
20. Linear response for intermittent maps with summable and nonsummable decay of correlations
    Alexey Korepanov
    Nonlinearity, 29 (2016)
    arXiv:1508.06571
21. Spatial structure of Sinai-Ruelle-Bowen measures
    Nikolai Chernov and Alexey Korepanov
    Physica D: Nonlinear Phenomena, 285 (2014)
    arXiv:1510.00532
22. Nonequilibrium stationary state of a current carrying thermostated system Federico Bonetto, Nikolai Chernov, Alexey Korepanov and Joel Lebowitz
    EPL (Europhysics Letters), 102 (2013)
    arXiv:1210.7720
23. Stable regimes for hard disks in a channel with twisting walls
    Nikolai Chernov, Alexey Korepanov and Nandor Simanyi
    Chaos: An Interdisciplinary Journal of Nonlinear Science, 22 (2012)
    arXiv:1111.4604
24. Spatial structure of stationary nonequilibrium states in the thermostatted periodic Lorentz gas
    Federico Bonetto, Nikolai Chernov, Alexey Korepanov and Joel Lebowitz
    Journal of Statistical Physics, 146 (2012)
    arXiv:1108.2696