Kolmogorov-Sinai entropy via separation properties of order-generated sigma-algebras A Antoniouk, K Keller, S Maksymenko arXiv preprint arXiv:1304.4450, 2013 | 24 | 2013 |
Multidimensional nonlinear pseudo-differential evolution equation with p-adic spatial variables AV Antoniouk, AY Khrennikov, AN Kochubei Journal of Pseudo-Differential Operators and Applications 11 (1), 311-343, 2020 | 18 | 2020 |
Smoothing properties of semigroups for Dirichlet operators of Gibbs measures AV Antoniouk, AV Antoniouk Journal of Functional Analysis 127 (2), 390-430, 1995 | 15 | 1995 |
Non-explosion and solvability of nonlinear diffusion equations on noncompact manifolds AV Antoniouk, AV Antoniouk Ukrainian Math. J. 59 (11), 1632–1652, 2007 | 14* | 2007 |
How the unbounded drift shapes the Dirichlet semigroups behaviour of non-Gaussian Gibbs measures AV Antoniouk, AV Antoniouk journal of functional analysis 135 (2), 488-518, 1996 | 13 | 1996 |
A stochastic p-adic model of the capillary flow in porous random medium AV Antoniouk, K Oleschko, AN Kochubei, AY Khrennikov Physica A: Statistical Mechanics and its Applications 505, 763-777, 2018 | 12 | 2018 |
Nonlinear estimates approach to the regularity properties of diffusion semigroups AV Antoniouk, AV Antoniouk Nonlinear analysis and applications: to V. Lakshmikantham on his 80th …, 2003 | 12* | 2003 |
Generalized stochastic flows and applications to incompressible viscous fluids A Antoniouk, M Arnaudon, AB Cruzeiro Bulletin des Sciences Mathématiques 138 (4), 565-584, 2014 | 11 | 2014 |
Nonlinear calculus of variations for differential flows on manifolds: geometrically correct introduction of covariant and stochastic variations AV Antoniouk, AV Antoniouk Ukr. Math. Bull. 1 (4), 453–488, 2004 | 11* | 2004 |
Joint study of visual perception mechanism and computer vision systems that use coarse-to-fine approach for data processing A Sharypanov, A Antoniouk, V Kalmykov Information content & processing 1 (3), 287-300, 2014 | 10 | 2014 |
Scientific Frontiers at the Interface of Mathematics and Life Sciences AV Antoniouk, RVN Melnik Mathematics and Life Sciences 1, 2012 | 10* | 2012 |
The Dirichlet problem for the heat equation in domains with cuspidal points on the boundary A Antoniouk, N Tarkhanov Operator Theory, Pseudo-Differential Equations, and Mathematical Physics …, 2012 | 6 | 2012 |
Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction AV Antoniouk, AV Antoniouk Journal of Mathematical Physics 37 (11), 5444-5454, 1996 | 6 | 1996 |
Variational principle for weighted porous media equation A Antoniouk, M Arnaudon Comptes Rendus Mathematique 352 (1), 31-34, 2014 | 2 | 2014 |
Nonlinear effects in the regularity problems for infinite dimensional evolutions of unbounded spin systems AV Antoniouk, A Antoniouk Condensed Matter Physics, 2006 | 2 | 2006 |
Gibbs measures on the infinite product of manifolds and Hermitian realizations of formal Hamiltonians AV Antoniouk, AV Antoniouk Methods of functional analysis in problems of mathematical physics, 36–46, 1992 | 2* | 1992 |
Анатолій Михайлович Самойленко (до 80-річчя від дня народження) AV Antoniouk, YM Berezansky, ОA Boichuk, VY Gutlyanskii, VS Korolyuk, ... Ukrains’ kyi Matematychnyi Zhurnal 70 (1), 3-6, 2018 | 1 | 2018 |
Asymptotic solutions of the Dirichlet problem for the heat equation at a characteristic point A Antoniouk, OM Kiselev, NN Tarkhanov Український математичний журнал, 1299–1317-1299–1317, 2014 | 1 | 2014 |
Regularity of nonlinear flows on noncompact Riemannian manifolds: differential geometry versus stochastic geometry or what kind of variations is natural? AV Antoniouk, AV Antoniouk Ukrains’ kyi Matematychnyi Zhurnal 58 (8), 1011–1034-1011–1034, 2006 | 1 | 2006 |
Quasi-contractive Nonlinear Calculus of Variations and Smoothness of Discontinuous Semigroups, Generated by Non-lipschitz Stochastic Differential Equations AV Antoniouk, AV Antoniouk Institut matematiki NAN Ukrainy, 1996 | 1 | 1996 |