Konarovskyi Vitalii
Publications
Preprints
25. Degree corrected stochastic block model: excursion representation
(with David Clancy, Jr. and Vlada Limic)
preprint (44 pages), arXiv:2409.18894
24. A Central Limit Theorem for Modified Massive Arratia Flow
(with Andrey Dorogovtsev and Max von Renesse)
preprint (17 pages), arXiv:2408.05030
23. A quantitative central limit theorem for the simple symmetric exclusion process
(with Benjamin Gess),
preprint (67 pages), arXiv:2408.01238
22. Conservative SPDEs as fluctuating mean-field limits of stochastic gradient descent
(with Benjamin Gess and Rishabh S. Gvalani),
preprint (65 pages), arXiv:2207.05705
21. 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
20. Dean-Kawasaki equation with initial condition in the space of positive distributions
(with Fenna Müller),
Journal of Evolution Equations (2024). Vol. 24 (2024), no. 4, 20 pp.
19. On Moments of Multiplicative Coalescents
(with Vlada Limic),
Annales de l'Institut Henri Poincaré. Vol. 60 (2024), no. 3, 2025-2045.
18. 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.
17. Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line
(with Max von Renesse),
Journal of Functional Analysis. Vol. 286 (2024), no. 8, 60 pp.
16. Andrii Anatoliyovych Dorogovtsev (on his 60th birthday)
(with Andrey Pilipenko and Georii Riabov)
Ukrainian Math. J. 75 (2023), no. 11, 1443-1445.
15. On Conditioning Brownian Particles to Coalesce
(with Victor Marx),
Journal of Theoretical Probability. Vol. 36 (2023), 2126–2164.
14. Coalescing-fragmentating Wasserstein dynamics: particle approach
Annales de l'Institut Henri Poincaré. Vol. 59 (2023), no. 2, 983-1028.
13. 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.
12. 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.
10. Dean-Kawasaki Dynamics with smooth Drift Potentials
(with Tobias Lehmann and Max von Renesse),
J. Stat. Phys. 178 (2020), no. 3, 666-681. MR4059955
9. Dean-Kawasaki dynamics: ill-posedness vs. triviality
(with Tobias Lehmann and Max von Renesse),
Elect. Comm. Probab, 24 (2019), no. 8, 9 pp. MR3916340
8. Modified massive Arratia flow and Wasserstein diffusion
(with Max von Renesse),
Comm. Pure Appl. Math. 72 (2019), no. 4, 764-800. MR3914882
7. A system of coalescing heavy diffusion particles on the real line
Ann. Probab. 45 (2017), no. 5, 3293–3335. MR3706744
6. On asymptotic behavior of the modified Arratia flow
Electron. J. Probab. 22 (2017), no. 19, 31 pp. MR3622889
5. Large deviations principle for finite system of heavy diffusion particles
Theory Stoch. Process. 19 (2014), no. 1, 37–45. MR3337132
4. Mathematical model of heavy diffusion particles system with drift
Commun. Stoch. Anal. 7 (2013), no. 4, 591–605. MR3213281
3. The martingale problem for a measure-valued process with heavy diffusing particles
Theory Stoch. Process. 17 (2011), no. 1, 50–60. MR3076876
2. System of sticking diffusion particles of variable mass
Ukrainian Math. J. 62 (2010), no. 1, 97–113. MR2888581
1. On an infinite system of diffusing particles with coalescing
Teor. Veroyatn. Primen. 55 (2010), no. 1, 157–167. MR2768524
25. Degree corrected stochastic block model: excursion representation
(with David Clancy, Jr. and Vlada Limic)
preprint (44 pages), arXiv:2409.18894
24. A Central Limit Theorem for Modified Massive Arratia Flow
(with Andrey Dorogovtsev and Max von Renesse)
preprint (17 pages), arXiv:2408.05030
23. A quantitative central limit theorem for the simple symmetric exclusion process
(with Benjamin Gess),
preprint (67 pages), arXiv:2408.01238
22. Conservative SPDEs as fluctuating mean-field limits of stochastic gradient descent
(with Benjamin Gess and Rishabh S. Gvalani),
preprint (65 pages), arXiv:2207.05705
21. 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
20. Dean-Kawasaki equation with initial condition in the space of positive distributions
(with Fenna Müller),
Journal of Evolution Equations (2024). Vol. 24 (2024), no. 4, 20 pp.
19. On Moments of Multiplicative Coalescents
(with Vlada Limic),
Annales de l'Institut Henri Poincaré. Vol. 60 (2024), no. 3, 2025-2045.
18. 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.
17. Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line
(with Max von Renesse),
Journal of Functional Analysis. Vol. 286 (2024), no. 8, 60 pp.
16. Andrii Anatoliyovych Dorogovtsev (on his 60th birthday)
(with Andrey Pilipenko and Georii Riabov)
Ukrainian Math. J. 75 (2023), no. 11, 1443-1445.
15. On Conditioning Brownian Particles to Coalesce
(with Victor Marx),
Journal of Theoretical Probability. Vol. 36 (2023), 2126–2164.
14. Coalescing-fragmentating Wasserstein dynamics: particle approach
Annales de l'Institut Henri Poincaré. Vol. 59 (2023), no. 2, 983-1028.
13. 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.
12. 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.
10. Dean-Kawasaki Dynamics with smooth Drift Potentials
(with Tobias Lehmann and Max von Renesse),
J. Stat. Phys. 178 (2020), no. 3, 666-681. MR4059955
9. Dean-Kawasaki dynamics: ill-posedness vs. triviality
(with Tobias Lehmann and Max von Renesse),
Elect. Comm. Probab, 24 (2019), no. 8, 9 pp. MR3916340
8. Modified massive Arratia flow and Wasserstein diffusion
(with Max von Renesse),
Comm. Pure Appl. Math. 72 (2019), no. 4, 764-800. MR3914882
7. A system of coalescing heavy diffusion particles on the real line
Ann. Probab. 45 (2017), no. 5, 3293–3335. MR3706744
6. On asymptotic behavior of the modified Arratia flow
Electron. J. Probab. 22 (2017), no. 19, 31 pp. MR3622889
5. Large deviations principle for finite system of heavy diffusion particles
Theory Stoch. Process. 19 (2014), no. 1, 37–45. MR3337132
4. Mathematical model of heavy diffusion particles system with drift
Commun. Stoch. Anal. 7 (2013), no. 4, 591–605. MR3213281
3. The martingale problem for a measure-valued process with heavy diffusing particles
Theory Stoch. Process. 17 (2011), no. 1, 50–60. MR3076876
2. System of sticking diffusion particles of variable mass
Ukrainian Math. J. 62 (2010), no. 1, 97–113. MR2888581
1. On an infinite system of diffusing particles with coalescing
Teor. Veroyatn. Primen. 55 (2010), no. 1, 157–167. MR2768524