A two-dimensional particle simulation based on Formation of clusters and coarsening in weakly interacting diffusions.

Publications and preprints

  1. Weak synchronisation for McKean–Vlasov SDEs. With Benjamin Gess and Shanshan Hu. Preprint, 2026. [arXiv]

  2. Sharp mean-field estimates for diffusive log/Riesz gases in the Hilbert–Schmidt regime. With Matías G. Delgadino and Matthew Rosenzweig. Preprint, 2026. [arXiv]

  3. Sharp local sparsity of regularized optimal transport. With Alberto González-Sanz and Lukas Koch. Preprint, 2026. [arXiv]

  4. Ergodicity for SPDEs driven by divergence-free transport noise. With Benjamin Gess and Adrian Martini. Preprint, 2026. [arXiv]

  5. Sparsity and uniform regularity for regularised optimal transport. With Lukas Koch. Preprint, 2026. [arXiv]

  6. Formation of clusters and coarsening in weakly interacting diffusions. With Nicolai Gerber, Martin Hairer, Grigorios A. Pavliotis, and André Schlichting. Nonlinearity, 2026. [arXiv · DOI]

  7. Random dynamical systems for McKean–Vlasov SDEs via rough path theory. With Benjamin Gess and Shanshan Hu. Preprint, 2025. [arXiv]

  8. Sharp mean-field estimates for the repulsive log gas in any dimension. With Matías G. Delgadino. Preprint, 2025. [arXiv]

  9. Separation of time scales in weakly interacting diffusions. With Zachary P. Adams and Maximilian Engel. Arch. Ration. Mech. Anal., 2026. [arXiv · DOI]

  10. Uniform large-scale ε-regularity for entropic optimal transport. With Lukas Koch. Preprint, 2025. [arXiv]

  11. Stochastic estimates for the thin-film equation with thermal noise. With Markus Tempelmayr. Comm. Math. Phys., 2026. [arXiv · DOI]

  12. Mixing by statistically self-similar Gaussian random fields. With Michele Coti Zelati and Theodore D. Drivas. J. Stat. Phys., 2024. [arXiv · DOI]

  13. Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. With Benjamin Gess and Vitalii Konarovskyi. Probab. Theory Related Fields, 2025. [arXiv · DOI]

  14. Ergodicity and random dynamical systems for conservative SPDEs. With Benjamin Fehrman and Benjamin Gess. Preprint, 2022. [arXiv]

  15. Exponential mixing for random dynamical systems and an example of Pierrehumbert. With Alex Blumenthal and Michele Coti Zelati. Ann. Probab., 2023. [arXiv · DOI]

  16. On a novel gradient flow structure for the aggregation equation. With Antonio Esposito, André Schlichting, and Markus Schmidtchen. Calc. Var. Partial Differential Equations, 2024. [arXiv · DOI]

  17. Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions. With Matías G. Delgadino, Grigorios A. Pavliotis, and Scott A. Smith. Comm. Math. Phys., 2023. [arXiv · DOI]

  18. Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise. With Benjamin Gess, Florian Kunick, and Felix Otto. Math. Comp., 2023. [arXiv · DOI]

  19. An invariance principle for gradient flows in the space of probability measures. With José A. Carrillo and Jeremy Wu. J. Differential Equations, 2023. [arXiv · DOI]

  20. On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. With Matías G. Delgadino and Grigorios A. Pavliotis. Arch. Ration. Mech. Anal., 2021. [arXiv · DOI]

  21. Phase transitions in nonlinear nonlocal aggregation-diffusion equations. With José A. Carrillo. Comm. Math. Phys., 2021. [arXiv · DOI]

  22. Barriers of the McKean-Vlasov energy via a mountain pass theorem in the space of probability measures. With André Schlichting. J. Funct. Anal., 2020. [arXiv · DOI]

  23. Long-time behaviour and phase transitions for the McKean–Vlasov equation on the torus. With José A. Carrillo, Grigorios A. Pavliotis, and André Schlichting. Arch. Ration. Mech. Anal., 2020. [arXiv · DOI]

  24. Instability, Rupture and Fluctuations in Thin Liquid Films: Theory and Computations. With Miguel A. Durán-Olivencia, Serafim Kalliadasis, and Grigorios A. Pavliotis. J. Stat. Phys., 2019. [arXiv · DOI]