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Journal Article
Chevyrev, Ilya, Friz, Peter K., Korepanov, Alexey and Melbourne, Ian (2020) Superdiffusive limits for deterministic fastβslow dynamical systems. Probability Theory and Related Fields, 178 . pp. 735-770. doi:10.1007/s00440-020-00988-5 ISSN 0178-8051.
CUNY, C., DEDECKER, J., Korepanov, A. and MERLEVΓDE, F. (2019) Rates in almost sure invariance principle for slowly mixing dynamical systems. Ergodic Theory and Dynamical Systems . pp. 1-32. doi:10.1017/etds.2019.2 ISSN 0143-3857.
Korepanov, A., Kosloff, Z. and Melbourne, I. (2019) Explicit coupling argument for non-uniformly hyperbolic transformations. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 149 (1). pp. 101-130. doi:10.1017/S0308210518000161 ISSN 0308-2105.
Korepanov, Alexey, Kosloff, Zemer and Melbourne, Ian (2019) Explicit coupling argument for nonuniformly hyperbolic transformations. Proceedings of the Royal Society of Edinburgh Section A : Mathematics, 149 (1). pp. 101-130. doi:10.1017/S0308210518000161 ISSN 0308-2105.
Korepanov, Alexey, Kosloff, Zemer and Melbourne, Ian (2018) Martingale-coboundary decomposition for families of dynamical systems. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , 35 (4). pp. 859-885. doi:10.1016/j.anihpc.2017.08.005 ISSN 0294-1449.
Korepanov, Alexey (2018) Equidistribution for nonuniformly expanding dynamical systems, and application to the almost sure invariance principle. Communications in Mathematical Physics, 359 (3). pp. 1123-1138. doi:10.1007/s00220-017-3062-z ISSN 0010-3616.
Korepanov, Alexey, Kosloff, Zemer and Melbourne, Ian (2017) Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems. Studia Mathematica, 238 . pp. 59-89. doi:10.4064/sm8540-1-2017 ISSN 0039-3223.
Korepanov, Alexey (2016) Linear response for intermittent maps with summable and nonsummable decay of correlations. Nonlinearity, 29 (6). pp. 1735-1754. doi:10.1088/0951-7715/29/6/1735 ISSN 0951-7715.
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