Rishabh Gvalani's Homepage

Publications and preprints

    All my publications are available on the arXiv and on Google Scholar.

  1. with Lukas Koch. Sparsity and uniform regularity for regularised optimal transport. [arXiv]
  2. with Nicolai Gerber, Martin Hairer, Grigorios A. Pavliotis, and André Schlichting. Formation of clusters and coarsening in weakly interacting diffusions. [arXiv]
  3. with Benjamin Gess and Shanshan Hu. Random dynamical systems for McKean–Vlasov SDEs via rough path theory. [arXiv]
  4. with Matías G. Delgadino. Sharp mean-field estimates for the repulsive log gas in any dimension. [arXiv]
  5. with Zachary P. Adams and Maximilian Engel. Separation of time scales in weakly interacting diffusions. [arXiv]
  6. with Lukas Koch. Uniform large-scale ε-regularity for entropic optimal transport. [arXiv]
  7. with Markus Tempelmayr. Stochastic estimates for the thin-film equation with thermal noise. [arXiv]
  8. with Michele Coti Zelati and Theodore D. Drivas. Statistically self-similar mixing by Gaussian random fields. J. Stat. Phys., 2024. [arXiv | doi]
  9. with Benjamin Gess and Vitalii Konarovskyi. Conservative SPDEs as fluctuating mean field limits of stochastic gradient descent. Probab. Theory Related Fields, 2025. [arXiv | doi]
  10. with Benjamin Ferhman and Benjamin Gess. Ergodicity and random dynamical systems for conservative SPDEs. [arXiv]
  11. with Alex Blumenthal and Michele Coti Zelati. Exponential mixing for random dynamical systems and an example of Pierrehumbert. Ann. Prob., 2023 [arXiv | doi]
  12. with Antonio Esposito, André Schlichting, and Markus Schmidtchen. On a novel gradient flow structure for the aggregation equation. Calc. Var. Partial Diff., 2024 [arXiv | doi]
  13. with Matías G. Delgadino, Grigorios A. Pavliotis, and Scott A. Smith. Phase transitions, logarithmic Sobolev inequalities, and uniform-in-time propagation of chaos for weakly interacting diffusions. Comm. Math. Phys., 2023 [arXiv | doi]
  14. with Benjamin Gess, Florian Kunick, and Felix Otto. Thermodynamically consistent and positivity preserving discretization of the thin-film equation with thermal noise. Math. Comp., 2023 [arXiv | doi]
  15. with José A. Carrillo and Jeremy Wu. An invariance principle for gradient flows in the space of probability measres. J. Differential Equations, 2022 [arXiv | doi]
  16. with Matías G. Delgadino and Grigorios A. Pavliotis. On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions. Arch. Ration. Mech. Anal., 2021 [arXiv | doi]
  17. with José A. Carrillo. Phase transitions in nonlinear nonlocal aggregation-diffusion equations. Comm. Math. Phys., 2021. [arXiv | doi]
  18. with André Schlichting. Barriers of the McKean-Vlasov energy via a mountain pass theorem in the space of probability measures. J. Funct. Anal., 2020. [arXiv | doi]
  19. with José A. Carrillo, Grigorios A. Pavliotis, and André Schlichting. Long-time behaviour and phase transitions for the McKean–Vlasov equation on the torus. Arch. Ration. Mech. Anal., 2020. [arXiv | doi]
  20. with Miguel A. Durán-Olivenca, Serafim Kalliadasis, and Grigorios A. Pavliotis. Instability, Rupture and Fluctuations in Thin Liquid Films: Theory and Computations. J. Stat. Phys., 2018. [arXiv | doi]