Vitalii Konarovskyi

Preprints

  1. Degree corrected stochastic block model: excursion representation,
    with David Clancy, Jr. and Vlada Limic,
    preprint. (arXiv, PDF)

  2. A Central Limit Theorem for Modified Massive Arratia Flow,
    with Andrey Dorogovtsev and Max von Renesse,
    preprint. (arXiv, PDF)

  3. A quantitative central limit theorem for the simple symmetric exclusion process,
    with Benjamin Gess,
    preprint. (arXiv, PDF)

  4. Spectral gap estimates for Brownian motion on domains with sticky-reflecting boundary diffusion,
    with Max von Renesse and Victor Marx,
    preprint. (arXiv, PDF)

Publications in Peer-Reviewed Journals

  1. Ill-posedness of the pure-noise Dean-Kawasaki equation,
    with Lorenzo Dello Schiavo,
    Electronic Communications in Probability. Vol. 30 (2025), 1-9 (arXiv, PDF)

  2. Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent,
    with Benjamin Gess and Rishabh S. Gvalani,
    Probability Theory and Related Fields. (2025), 69 pp. (arXiv, PDF)

  3. Numerical approximation and dynamics of periodic solution in distribution of stochastic differential equations,
    with Jinhui Zhou, Yongkui Zou and Xue Yang,
    Numerical Algorithms. Vol. 98 (2025), no. 1, 30 pp.

  4. Dean-Kawasaki equation with initial condition in the space of positive distributions,
    with Fenna Müller,
    Journal of Evolution Equations. Vol. 24 (2024), no. 92, 20 pp. (arXiv, PDF)

  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), no. 30, 27 pp. (arXiv, PDF)

  6. On Moments of Multiplicative Coalescents,
    with Vlada Limic,
    Ann. Inst. Henri Poincaré Probab. Stat. 60 (2024), no.3, 2025-2045. (arXiv, PDF)

  7. Reversible Coalescing-Fragmentating Wasserstein Dynamics on the Real Line,
    with Max von Renesse,
    Journal of Functional Analysis. Vol. 286 (2024), 60pp (arXiv, PDF)

  8. Andrii Anatoliyovych Dorogovtsev (on his 60th birthday),
    with Andrey Pilipenko and Georii Riabov,
    Ukrainian Mathematical Journal. Vol. 75 (2024), 1635-1637.

  9. On Conditioning Brownian Particles to Coalesce,
    with Victor Marx,
    Journal of Theoretical Probability. Vol. 36 (2023), 2126–2164 (arXiv, PDF)

  10. Coalescing-Fragmentating Wasserstein Dynamics: particle approach,
    Annales de l'Institut Henri Poincaré. Vol. 59 (2023), no. 2, 983-1028 (arXiv, PDF)

  11. Sticky-Reflected Stochastic Heat Equation Driven by Colored Noise,
    Ukrainian Mathematical Journal. Vol. 72 (2021), no. 9, 1377-1419. (arXiv, PDF)

  12. 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. (arXiv, PDF)

  13. On Number of Particles in Coalescing-Fragmentating Wasserstein Dynamics,
    Theory of Stochastic Processes. Vol. 25(41) (2020), no. 2, 74-80. (arXiv, PDF)

  14. On Dean-Kawasaki Dynamics with Smooth Drift Potential,
    with Tobias Lehmann and Max von Renesse,
    J. Stat. Phys. 178 (2020), no. 3, 666-681. (arXiv, PDF)

  15. Dean-Kawasaki dynamics: Ill-posedness vs. Triviality,
    with Tobias Lehmann and Max von Renesse,
    Electronic Communications in Probability. Vol. 24 (2019), no. 8, 9 pp. (arXiv, PDF)

  16. Modified Massive Arratia flow and Wasserstein diffusion,
    with Max von Renesse,
    Communications on Pure and Applied Mathematics. Vol. 72 (2019), no. 4, 764-800 (arXiv) (extended version)

  17. On asymptotic behavior of the modified Arratia flow,
    Electronic Journal of Probability. Vol. 22 (2017), no. 19, 31 pp. (arXiv, PDF)

  18. A system of coalescing heavy diffusion particles on the real line,
    Annals of Probability. Vol. 45 (2017), no. 5, 3293-3335. (arXiv)

  19. Large deviations principle for finite system of heavy diffusion particles,
    Theory of Stochastic Processes. Vol. 19(35) (2014), no. 1, 37-45. (PDF)

  20. Mathematical model of heavy diffusion particles system with drift,
    Communications on Stochastic Analysis. Vol. 7 (2013), no. 4, 591-605. (PDF)

  21. The martingale problem for a measurevalued process with heavy diffusion particles,
    Theory of stochastic processes. Vol. 17(33) (2011), no. 1, 50-60. (PDF)

  22. On infinite system of diffusion particles with coalescing,
    Theory of Probability and Its Applications. Vol. 55 (2011), no. 1, 134-144.

  23. System of sticking diffusion particles of variable mass,
    Ukrainian Mathematical Journal. Vol. 62 (2010), no. 1, 97-113. (PDF)

Thesis

  1. The system of interacting particles with variable weights, PhD thesis (in Ukrainian) (PDF)