I am working on questions in Probability Theory / Mathematical Statistics, in Earth Sciences, and on the intersection between these two disciplines.
In Mathematics, my current research interests lie in stochastic geometry, in particular for Gaussian fields. I am also interested in stochastic (partial) differential equations, including interacting particle systems, driven by fractional Brownian motion (or other Hermite processes) and statistical inference for such processes. I often use the Malliavin-Stein machinery for Gaussian processes in my work, and I am fascinated by its various applications.
As postdoctoral researcher at MPI for Meteorology my main project was understanding and quantifying interactions between near-surface processes in the tropical ocean and atmospheric convection. For this I ran the Earth System model ICON and analysed the output.
On the intersection of Mathematics and Geosciences my interests are in demonstrating theoretical results for processes in nature that can be modelled involving randomness, such as turbulence.
J. Gairing, P. Imkeller, R. Shevchenko, C. A. Tudor – Hurst index estimation in stochastic differential equations driven by fractional Brownian motion. Journal of Theoretical Probability, 33, 1691-1714 (2019).
R. Shevchenko, M. Slaoui, C. A. Tudor – Generalised k-variations and Hurst parameter estimation for the fractional wave equation via Malliavin calculus. Journal of Statistical Planning anf Inference, 207, 155-180 (2020).
R. Shevchenko, C. A. Tudor – Parameter estimation for the Rosenblatt Ornstein-Uhlenbeck process with periodic mean. Statistical Inference for Stochastic Processes, 23, 227-247 (2020).
R. Shevchenko, J. H. C. Woerner – Inference for fractional Ornstein-Uhlenbeck type processes with periodic mean in the non-ergodic case. Stochastic Analysis and Applications (2021).
R. Shevchenko – On quadratic variations for the fractional-white wave equation. Theory of Probability and Mathematical Statistics (2023).
R. Shevchenko, A. P. Todino – Asymptotic behaviour of level sets of needlet random fields. Stochastic Processes and their Applications (2023).
R. Shevchenko – Quadratic variations for Gaussian isotropic random fields on the sphere. Annales de l'Institut Henri Poincaré (2024).
C. Hohenegger, P. Korn, L. Linardakis, R. Redler, R. Schnur, P. Adamidis, J. Bao, S. Bastin, M. Behravesh, M. Bergemann, J. Biercamp, H. Bockelmann, R. Brokopf, N. Brüggemann, L. Casaroli, F. Chegini, G. Datseris, M. Esch, G. George, M. Giorgetta, O. Gutjahr, H. Haak, M. Hanke, T. Ilyina, T. Jahns, J. Jungclaus, M. Kern, D. Klocke, L. Kluft, T. Kölling, L. Kornblueh, S. Kosukhin, C. Kroll, J. Lee, T. Mauritsen, C. Mehlmann, T. Mieslinger, A.K. Naumann, L. Paccini, A. Peinado, D.S. Praturi, D. Putrasahan, S. Rast, T. Riddick, N. Roeber, H. Schmidt, U. Schulzweida, F. Schütte, H. Segura, R. Shevchenko, V. Singh, M. Specht, C.C. Stephan, J.-S. von Storch, R. Vogel, C. Wengel, M. Winkler, F. Ziemen, J. Marotzke, B. Stevens – ICON-Sapphire: simulating the components of the Earth System and their interactions at kilometer and subkilometer scales. Geoscientific Model Development (2023).
R. Shevchenko, C. Hohenegger, M. Schmitt – Impact of diurnal warm layers on atmospheric convection. Journal of Geophysical Research: Atmospheres, 128, e2022JD038473. https://doi.org/10.1029/2022JD038473 (2023).
S. Bastin, A. Koldunov, F. Schütte, O. Gutjahr, M. A. Mrozowska, T. Fischer, R. Shevchenko, A. Kumar, N. Koldunov, H. Haak, N. Brüggemann, R. Hummels, M. S. Specht, J. Jungclaus, S. Danilov, M. Dengler, and M. Jochum – Sensitivity of the tropical Atlantic to vertical mixing in two ocean models (ICON-O v2.6.6 and FESOM v2.5). Geoscientific Model Development. https://doi.org/10.5194/gmd-18-1189-2025 (2025).
M. Schmitt, K. Klingbeil, R. Shevchenko, L. Umlauf – Three-dimensional ocean surface layer response to rain, wind bursts, and diurnal heating. Journal of Geophysical Research: Oceans, 130(8), e2024JC022129. https://doi.org/10.1029/2024JC022129 (2025).
R. Shevchenko – Limit theorems and statistical inference for solutions of some stochastic (partial) differential equations. PhD Thesis, Technical University Dortmund (2020).
E. Di Bernardino, R. Shevchenko, A. P. Todino – On the Euler-Poincaré Characteristic of the planar Berry's random wave: fluctuations and a perturbation study. Preprint. https://arxiv.org/abs/2406.01725 (2024).
C. Amorino, I. Nourdin, R. Shevchenko – Fractional interacting particle system: drift parameter estimation via Malliavin calculus. Preprint. https://arxiv.org/abs/2502.06514 (2025).
R. Shevchenko – On angular power spectrum estimation for spherical random fields. Preprint (2025).
A poster I made for the CLIVAR Conference in Boulder, CO, in 2023 https://usclivar.org/sites/default/files/2023/posters/SHEVCHENKO-RADOMYRA-MESO-POSTER-CP.pdf
With Michele Ancona, Elena Di Bernardino, Maxime Ingremeau, and Khazhgali Kozhasov we organised the workshop "Mathematical Imaging and Random Geometry", November 25-26, 2024, in Nice.
With Elena Di Bernardino, Damien Garreau, Yassine Laguel, Thomas Laloe, Patricia Reynaud-Bouret, Samuel Vaiter, and Vincent Vandewalle we organised the conference ICSDS, December 16-19, 2024, in Nice.
With Pierre-Alexandre Mattei, Yassine Laguel, and Patricia Reynaud-Bouret we organised Journée PS-MAASAI, April 29, 2025, in Nice.