Preprints

1. H. Lavenant - J. Luckhardt - G. Mordant - B. Schmitzer - L. Tamanini
   The Riemannian geometry of Sinkhorn divergences
   (Preprint - 2024) [arXiv]

2. G. Conforti - R. C. Kraaij - L. Tamanini - D. Tonon
   Hamilton-Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
   (Preprint - 2024) [arXiv]

3. A. Carbonaro - L. Tamanini - D. Trevisan
   Boundedness of Riesz transforms on RCD(K,\infty) spaces
   (Preprint - 2023) [arXiv]

4. N. Gigli - L. Tamanini - D. Trevisan
   Viscosity solutions of Hamilton-Jacobi equation in RCD(K,\infty) spaces and applications to large deviations
   (Preprint - 2022) [arXiv]

5. L. Tamanini
   From Harnack inequality to heat kernel estimates on metric measure spaces and applications
   (Preprint - 2019) [arXiv]

6. N. Gigli - L. Tamanini
   Second order differentiation formula on compact RCD*(K,N) spaces
   (Preprint - 2017) [arXiv]

Published/Accepted papers

7. H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov
   Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
   (Calculus of Variations and Partial Differential Equations - 2024) [arXiv] [journal]

8. A. Chiarini, G. Conforti, G. Greco, L. Tamanini
   Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability
   (Communications in Partial Differential Equations - 2023) [arXiv] [journal]

9. L. Monsaingeon - L. Tamanini - D. Vorotnikov
   The dynamical Schrödinger problem in abstract metric spaces
   (Advances in Mathematics - 2023) [arXiv] [journal]

10. G. Carlier, P. Pegon, L. Tamanini
    Convergence rate of general entropic optimal transport costs
    (Calculus of Variations and Partial Differential Equations - 2023) [arXiv] [journal]

11. L. Tamanini
    A generalization of Costa's Entropy Power Inequality
    (IEEE Transactions on Information Theory - 2022) [arXiv] [journal]

12. M. Erbar - C. Rigoni - K.-T. Sturm - L. Tamanini
    Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds
    (Journal de Mathématiques Pures et Appliquées - 2022) [arXiv] [journal]

13. G. Conforti - L. Tamanini
    A formula for the time derivative of the entropic cost and applications
    (Journal of Functional Analysis - 2021) [arXiv] [journal]

14. A. Chiarini - G. Conforti - L. Tamanini
    Schrödinger Problem for Lattice Gases: A Heuristic Point of View
    (Proceeding in International Conference on Geometric Science of Information - 2021) [journal] 

15. N. Gigli - L. Tamanini
    Second order differentiation formula on RCD*(K,N) spaces
    (Journal of the European Mathematical Society (JEMS) - 2021) [arXiv] [journal]

16. I. Gentil - C. Léonard - L. Ripani - L. Tamanini
    An entropic interpolation proof of the HWI inequality
    (Stochastic Processes and Their Applications - 2020) [arXiv] [journal]

17. N. Gigli - L. Tamanini
    Benamou-Brenier and duality formulas for the entropic cost on RCD*(K,N) spaces
    (Probability Theory and Related Fields - 2020) [arXiv] [journal]

18. N. Gigli - L. Tamanini
    Second order differentiation formula on RCD(K,N) spaces
    (Rendiconti Lincei. Matematica e Applicazioni - 2018) [arXiv] [journal]

Thesis

19. L. Tamanini
    Analysis and geometry of RCD spaces via the Schrödinger problem
    (Phd Thesis - 2017) [cvgmt]

Reports

20. Small- and long-time asymptotics of Entropic Optimal Transport
    (Oberwolfach Reports - 2021) [mfo]