Prof. Dr. Oleksandra Antoniouk - Dean of the Faculty of Digital Technologies EPAM American University Kyiv.
She graduated from Kyiv State University, named after T.G. Shevchenko, in 1990 (with honors) in the specialty of mathematics." She obtained the scientific degree of candidate of physical and mathematical sciences in mathematical analysis at the Institute of Mathematics of the National Academy of Sciences of Ukraine in 1993 and the degree of doctor of physical and mathematical sciences in 2016.
Oleksandra Antoniouk specializes in partial differential equations with finite and infinite variables.
In the field of research, O. Antoniouk - the evolutionary behavior of systems describing models of statistical mechanics with an infinite number of interacting particles, various types of nonlinear differential equations with a finite number of variables, including diffusion equations on non-compact Riemannian manifolds and equations of porous media, as well as dynamic systems of stochastic flows on varieties and analysis of discrete time series.
Oleksandra Antoniouk's contribution to the field of mathematics and its applications is significant. She is the author of more than 40 articles published in leading scientific journals, a testament to her expertise and dedication.
As the head of the Ukrainian part of several EU projects, including FP-7 Marie Curie Actions IRES' EU-Ukrainian Mathematicians for Life Sciences' (2012-2016) and Horizon-2020' Approximation Methods for Molecular Modeling and Diagnosis Tools' (2016- 2019), Oleksandra Antoniouk has demonstrated her leadership and influence. She is also the main organizer of various international multidisciplinary conferences, including 'Mathematics for Life Sciences' (2012-2017) and KAU Data Science School (2018-2021).
Dr. Antoniouk is a scholarship recipient of the Alexander von Humboldt Foundation and has received awards for scientific and social activities, including the AvH "Innovation Networking Initiative" award in 2015, the National Academy of Sciences of Ukraine "For Professional Achievements" (2020), and the Honorary Diploma of the Verkhovna Rada of Ukraine "For Merit" before the Ukrainian people" (2021).

Expert in the field of partial differential equations of an infinite number of variables and related stochastic differential equations. Her work focuses on equations that describe the evolutionary behavior of statistical mechanics systems with infinitely many interacting particles, as well as nonlinear differential equations with a finite number of variables. These include the diffusion equation on noncompact Riemannian manifolds and the porous medium equation. Additionally, her results were connected with the theory of dynamical systems generated by stochastic flows on manifolds, particularly those arising from discrete time series analysis. The latest results are connected with the pseudodifferential operators in functional spaces of p-adic functions.

Main publications:

Alexandra Antoniouk, Anatoly Kochubei, Discrete-time general fractional calculus, Journal of Pseudo-Differential Operators and Applications, Fractional Calculus and Applied Analysis, Volume 27, pages 2948–2963, (2024)  
https://doi.org/10.1007/s13540-024-00350-9

Alexandra Antoniouk, Anatoly Kochubei, Oleksii Nikitchenko, Existence and uniqueness for p[Formel]-adic counterpart of the porous medium equation, Journal of Pseudo-Differential Operators and Applications, J. Pseudo-Differ. Oper. Appl. 15, 79 (2024) https://doi.org/10.1007/s11868-024-00647-6

Antoniouk Alexandra, Kochubei Anatoly, Mariia Serdiuk Pseudo-Differential Equations with Weak Degeneration for Radial Functions of p-adic Argument, Journal of Mathematical Analysis and Applications (2023) doi.org/10.1016/j.jmaa.2023.127026

Інноваційна екосистема України: огляд сучасності / О.В. Антонюк та ін. — Київ: ДНУ «Київський академічний університет», 2020. — 275 с. ISBN 978-966-02-9541-4

Antoniouk Alexandra, Khrennikov Andrei, Kochubei Anatoly, Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables

Valsiner, Jaan, Lutsenko, Anastasiia, Antoniouk, Alexandra (Eds.) "Sustainable Futures for Higher Education. The Making of Knowledge Makers". - Springer, 2018. ISBN: 978-3-319-96035-7 https://www.springer.com/us/book/9783319960340

Alexandra Antoniouk, Sergiy Maksymenko "Contractibility of manifolds by means of stochastic flows"// Topological Methods in Nonlinear Analysis, Volume 52, Number 2 (2018), 599-611. http://dx.doi.org/10.12775/TMNA.2018.022

Alexandra Antoniouk, Klaudia Oleschko, Anatoly N.Kochubei, Andrei Yu.Khrennikov A stochastic p-adic model of the capillary flow in porous random medium

Antoniouk, A. Vict.; Kiselev, O. M.; Tarkhanov, N. N. Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point.// Reprint of Ukraïn. Mat. Zh. 66 (2014), no. 10, 1299–1317. Ukrainian Math. J. 66 (2015), no. 10, 1455–1474. https://link.springer.com/article/10.1007/s11253-015-1038-8

Antoniouk, Alexandra; Keller, Karsten; Maksymenko, Sergiy Kolmogorov-Sinai entropy via separation properties of order-generated σ-algebras.// Discrete Contin. Dyn. Syst. 34 (2014), no. 5, 1793–1809. https://www.aimsciences.org/article/doi/10.3934/dcds.2014.34.1793
 

Antoniouk, Alexandra; Arnaudon, Marc; Cruzeiro, Ana Bela Generalized stochastic flows and applications to incompressible viscous fluids.// Bull. Sci. Math. 138 (2014), no. 4, 565–584 https://www.sciencedirect.com/science/article/pii/S0007449713001176

 Antoniouk, Alexandra; Arnaudon, Marc Variational principle for weighted porous media equation.// C. R. Math. Acad. Sci. Paris 352 (2014), no. 1, 31–34. https://hal.archives-ouvertes.fr/hal-00872159/file/Variational_principle-HAL-2.pdf

Antoniouk, Alexandra; Tarkhanov, Nikolai The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary.// Operator theory, pseudo-differential equations, and mathematical physics, 1–20, Oper. Theory Adv. Appl., 228, Birkhäuser/Springer Basel AG, Basel, 2013. https://link.springer.com/chapter/10.1007/978-3-0348-0537-7_1

Antoniouk A.Val, Antoniouk A.Vict., Continuity with respect to initial data and absolute continuity approach to the first order regularity of nonlinear diffusions on noncompact manifolds

Antoniouk A.Val., Antoniouk A.Vict., Non-explosion for nonlinear diffusions on noncompact manifolds

Antoniouk A.Val., Antoniouk A.Vict., Regularity of infinite dimensional heat dynamics of unbounded lattice spins with non-constant diffusion coefficients

Antoniouk A.Val., Antoniouk A.Vict. Nonlinear calculus of variations and regularity of parabolic problems

Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the regularity of infinite dimensional parabolic problems

Antoniouk A.Val, Antoniouk A.Vict., Regularity of nonlinear flows on noncompact Riemannian manifolds: differential vs. stochastic geometry or what kind of variations is natural?

Antoniouk A.Val., Antoniouk A.Vict., Nonlinear estimates approach to the non-Lipschitz gap between boundedness and continuity in C∞[Formel]-properties of infinite dimensional semigroups

Antoniouk A.Val., Antoniouk A.Vict., Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations

Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates approach to the regularity properties of diffusion semigroups// Nonlinear Analysis and Applications: To V.Lakshmikantham on his 80th birthday, in two volumes( Ravi P. Agrawal and Donal O'Regan, eds.), Kluwer, 2003, vol.1, p.165-226

Antoniouk A.Val., Antoniouk A.Vict., High order symmetries of variations and nonlinear quasi-contractive estimates approach to the parabolic regularity problems

Antoniouk A.Val., Antoniouk A.Vict., High order formula for derivatives of heat semigroups via the integration by parts on Wiener space// Ukrainian Math. Journ., 2001, vol.53, N 1, p.117-122 https://link.springer.com/article/10.1023/A:1010401203717

Antoniouk A.Val., Antoniouk A.Vict. Non-Lipschitz singularities in the Malliavin calculus: Raise of Smoothness for infinite dimensional semigroups Institute of Mathematics NAS Ukraine, Preprint N 96.33, 38 p, Kiev, 1996

Antoniouk A.Val., Antoniouk A.Vict. Quasi-contractive nonlinear calculus of variations and smoothness of discontinuous semigroups, generated by non-lipschitz stochastic differential equations, Institute of Mathematics Institute of Mathematics NAS Ukraine, Preprint N 96.23, 40 p, Kiev, 1996

Antoniouk A.Val., Antoniouk A.Vict. Nonlinear estimates of quasi-contractive type for non-Lipschitz's differential equations and C∞[Formel]-smoothing on initial data BiBoS Research center, preprint N 688, 1995

Antoniouk A.Val., Antoniouk A.Vict. Decay of correlations and uniqueness of Gibbs lattice systems with non-quadratic interaction// J. Math. Phys., 1996, vol. 37, N 11, P.4545-4555

Antoniouk A.Val., Antoniouk A.Vict, Weighted Spectral Gap and Logarithmic Sobolev Inequalities and their Applications// Academy of Sciences of Ukraine, Institute of Mathematics Preprint 93.33, Kiev, 1993

Antoniouk A.Val., Antoniouk A.Vict. "How the unbounded drift shapes the Dirichlet semigroups behavior of non-Gaussian Gibbs measures", J.Funct.Anal., 1996, vol.135, p.488-518

Antoniouk A.Val., Antoniouk A.Vict. "Smoothing properties of semigroups for Dirichlet operators of Gibbs measures", J. Funct. Anal., 1995, vol.127, P.390-430