Конаровський Віталій Васильович
Публікації
Preprints
1. Dean-Kawasaki equation with initial condition in the space of positive distributions,
(with Fenna Müller),
preprint (17 pages), arXiv:2311.10006
2. Conservative SPDEs as fluctuating mean-field limits of stochastic gradient descent,
(with Benjamin Gess and Rishabh S. Gvalani),
preprint (65 pages), arXiv:2207.05705
3. Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
(with Max von Renesse and Victor Marx),
preprint (20 pages), arXiv:2106.00080
Publications in peer-reviewed journals
4. On Moments of Multiplicative Coalescents
(with Vlada Limic),
to appear in Annales de l'Institut Henri Poincaré (26 pages), arXiv:2108.11799
5. Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent,
(with Benjamin Gess and Sebastian Kassing),
Journal of Machine Learning Research. Vol. 25 (2024), 27 pp.
6. Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line,
(with Max von Renesse),
Journal of Functional Analysis. Vol. 286 (2024), no. 8, 60 pp.
7. On Conditioning Brownian Particles to Coalesce,
(with Victor Marx),
Journal of Theoretical Probability. Vol. 36 (2023), 2126–2164.
8. Coalescing-fragmentating Wasserstein dynamics: particle approach,
Annales de l'Institut Henri Poincaré. Vol. 59 (2023), no. 2, 983-1028.
9. Stochastic Block Model in a new critical regime and the Interacting Multiplicative Coalescent
(with Vlada Limic),
Electronic Journal of Probability. Vol. 26 (2021), 23 pp.
10. Sticky-Reflected Stochastic Heat Equation Driven by Colored Noise,
Ukrainian Mathematical Journal. Vol. 72 (2021), no. 9, 1377-1419.
11. On Number of Particles in Coalescing-Fragmentating Wasserstein Dynamics,
Theory Stoch. Process. 25(41) (2020), no. 2, 74-80.
12. Dean-Kawasaki Dynamics with smooth Drift Potentials,
(with Tobias Lehmann and Max von Renesse),
J. Stat. Phys. 178 (2020), no. 3, 666-681. MR4059955
13. Dean-Kawasaki dynamics: ill-posedness vs. triviality,
(with Tobias Lehmann and Max von Renesse),
Elect. Comm. Probab, 24 (2019), no. 8, 9 pp. MR3916340
14. Modified massive Arratia flow and Wasserstein diffusion,
(with Max von Renesse),
Comm. Pure Appl. Math. 72 (2019), no. 4, 764-800. MR3914882
15. A system of coalescing heavy diffusion particles on the real line,
Ann. Probab. 45 (2017), no. 5, 3293–3335. MR3706744
16. On asymptotic behavior of the modified Arratia flow,
Electron. J. Probab. 22 (2017), no. 19, 31 pp. MR3622889
17. Large deviations principle for finite system of heavy diffusion particles,
Theory Stoch. Process. 19 (2014), no. 1, 37–45. MR3337132
18. Mathematical model of heavy diffusion particles system with drift,
Commun. Stoch. Anal. 7 (2013), no. 4, 591–605. MR3213281
19. The martingale problem for a measure-valued process with heavy diffusing particles,
Theory Stoch. Process. 17 (2011), no. 1, 50–60. MR3076876
20. System of sticking diffusion particles of variable mass,
Ukrainian Math. J. 62 (2010), no. 1, 97–113. MR2888581
21. On an infinite system of diffusing particles with coalescing,
Teor. Veroyatn. Primen. 55 (2010), no. 1, 157–167. MR2768524
1. Dean-Kawasaki equation with initial condition in the space of positive distributions,
(with Fenna Müller),
preprint (17 pages), arXiv:2311.10006
2. Conservative SPDEs as fluctuating mean-field limits of stochastic gradient descent,
(with Benjamin Gess and Rishabh S. Gvalani),
preprint (65 pages), arXiv:2207.05705
3. Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion
(with Max von Renesse and Victor Marx),
preprint (20 pages), arXiv:2106.00080
Publications in peer-reviewed journals
4. On Moments of Multiplicative Coalescents
(with Vlada Limic),
to appear in Annales de l'Institut Henri Poincaré (26 pages), arXiv:2108.11799
5. Stochastic Modified Flows, Mean-Field Limits and Dynamics of Stochastic Gradient Descent,
(with Benjamin Gess and Sebastian Kassing),
Journal of Machine Learning Research. Vol. 25 (2024), 27 pp.
6. Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line,
(with Max von Renesse),
Journal of Functional Analysis. Vol. 286 (2024), no. 8, 60 pp.
7. On Conditioning Brownian Particles to Coalesce,
(with Victor Marx),
Journal of Theoretical Probability. Vol. 36 (2023), 2126–2164.
8. Coalescing-fragmentating Wasserstein dynamics: particle approach,
Annales de l'Institut Henri Poincaré. Vol. 59 (2023), no. 2, 983-1028.
9. Stochastic Block Model in a new critical regime and the Interacting Multiplicative Coalescent
(with Vlada Limic),
Electronic Journal of Probability. Vol. 26 (2021), 23 pp.
10. Sticky-Reflected Stochastic Heat Equation Driven by Colored Noise,
Ukrainian Mathematical Journal. Vol. 72 (2021), no. 9, 1377-1419.
11. On Number of Particles in Coalescing-Fragmentating Wasserstein Dynamics,
Theory Stoch. Process. 25(41) (2020), no. 2, 74-80.
12. Dean-Kawasaki Dynamics with smooth Drift Potentials,
(with Tobias Lehmann and Max von Renesse),
J. Stat. Phys. 178 (2020), no. 3, 666-681. MR4059955
13. Dean-Kawasaki dynamics: ill-posedness vs. triviality,
(with Tobias Lehmann and Max von Renesse),
Elect. Comm. Probab, 24 (2019), no. 8, 9 pp. MR3916340
14. Modified massive Arratia flow and Wasserstein diffusion,
(with Max von Renesse),
Comm. Pure Appl. Math. 72 (2019), no. 4, 764-800. MR3914882
15. A system of coalescing heavy diffusion particles on the real line,
Ann. Probab. 45 (2017), no. 5, 3293–3335. MR3706744
16. On asymptotic behavior of the modified Arratia flow,
Electron. J. Probab. 22 (2017), no. 19, 31 pp. MR3622889
17. Large deviations principle for finite system of heavy diffusion particles,
Theory Stoch. Process. 19 (2014), no. 1, 37–45. MR3337132
18. Mathematical model of heavy diffusion particles system with drift,
Commun. Stoch. Anal. 7 (2013), no. 4, 591–605. MR3213281
19. The martingale problem for a measure-valued process with heavy diffusing particles,
Theory Stoch. Process. 17 (2011), no. 1, 50–60. MR3076876
20. System of sticking diffusion particles of variable mass,
Ukrainian Math. J. 62 (2010), no. 1, 97–113. MR2888581
21. On an infinite system of diffusing particles with coalescing,
Teor. Veroyatn. Primen. 55 (2010), no. 1, 157–167. MR2768524