On uniqueness of solutions to nonlinear Fokker–Planck–Kolmogorov equations OA Manita, MS Romanov, SV Shaposhnikov Nonlinear Analysis 128, 199-226, 2015 | 36 | 2015 |
Nonlinear parabolic equations for measures O Manita, S Shaposhnikov St. Petersburg Mathematical Journal 25 (1), 43-62, 2014 | 35 | 2014 |
On the Cauchy problem for Fokker–Planck–Kolmogorov equations with potential terms on arbitrary domains OA Manita, SV Shaposhnikov Journal of Dynamics and Differential Equations 28, 493-518, 2016 | 22 | 2016 |
Universal approximation in dropout neural networks OA Manita, MA Peletier, JW Portegies, J Sanders, A Senen-Cerda Journal of Machine Learning Research 23 (19), 1-46, 2022 | 10 | 2022 |
Nonlinear Fokker-Planck-Kolmogorov equations in Hilbert spaces OA Manita Journal of Mathematical Sciences 216 (1), 120-136, 2016 | 4 | 2016 |
On the well-posedness of the Cauchy problem for Fokker--Planck--Kolmogorov equations with potential terms on arbitrary domains OA Manita, SV Shaposhnikov arXiv preprint arXiv:1307.3662, 2013 | 4 | 2013 |
Estimates for transportation costs along solutions to Fokker–Planck–Kolmogorov equations with dissipative drifts OA Manita Rendiconti Lincei 28 (3), 601-618, 2017 | 3 | 2017 |
Uniqueness of probability solutions to nonlinear Fokker-Planck-Kolmogorov equation. O Manita, M Romanov, S Shaposhnikov Doklady Mathematics 91 (2), 2015 | 3 | 2015 |
Universal approximation in dropout neural networks OA Manita, MA Peletier, JW Portegies, J Sanders, A Senen-Cerda arXiv preprint arXiv:2012.10351, 2020 | 2 | 2020 |
Estimates for the Kantorovich distances between solutions to the nonlinear Fokker–Planck–Kolmogorov equation with monotone drift OA Manita arXiv preprint arXiv:1507.04014, 2015 | 2 | 2015 |
Estimates of distances between solutions of Fokker–Planck–Kolmogorov equations with partially degenerate diffusion matrices OA Manita, MS Romanov, SV Shaposhnikov Theory of Stochastic Processes 23 (2), 41-54, 2018 | 1 | 2018 |
Fokker–Planck–Kolmogorov equations with a partially degenerate diffusion matrix OA Manita, MS Romanov, SV Shaposhnikov Doklady Mathematics 96, 384-388, 2017 | 1 | 2017 |
Nonlinear Fokker–Planck–Kolmogorov equations in Hilbert spaces OA Manita Записки научных семинаров ПОМИ 437 (0), 184-206, 2015 | 1 | 2015 |
A Feynman-Kac formula for a degenerate Kolmogorov Backward Equation B van Doren, OTC Tse, OA Manita | | 2021 |
On convergence of 1D Markov diffusions to heavy-tailed invariant density OA Manita, AY Veretennikov arXiv preprint arXiv:1807.10351, 2018 | | 2018 |
Positivity of transition probabilities of infinite-dimensional diffusion processes on ellipsoids OA Manita Theory of Stochastic Processes 20 (2), 85-96, 2015 | | 2015 |
Fokker-Planck-Kolmogorov equations with a potential term on a domain OA Manita, SV Shaposhnikov Doklady Mathematics 91, 26-29, 2015 | | 2015 |
Well-posedness of the Cauchy problem for nonlinear Kolmogorov-Fokker-Planck equations for measures OA Manita | | |
Nonlinear parabolic equations for probability measures OA Manita, SV Shaposhnikov | | |