Preprints
H. Lavenant - J. Luckhardt - G. Mordant - B. Schmitzer - L. Tamanini
The Riemannian geometry of Sinkhorn divergences
(Preprint - 2024) [arXiv]G. Conforti - R. C. Kraaij - L. Tamanini - D. Tonon
Hamilton-Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions
(Preprint - 2024) [arXiv]A. Carbonaro - L. Tamanini - D. Trevisan
Boundedness of Riesz transforms on RCD(K,\infty) spaces
(Preprint - 2023) [arXiv]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]L. Tamanini
From Harnack inequality to heat kernel estimates on metric measure spaces and applications
(Preprint - 2019) [arXiv]N. Gigli - L. Tamanini
Second order differentiation formula on compact RCD*(K,N) spaces
(Preprint - 2017) [arXiv]
Published/Accepted papers
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]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]L. Monsaingeon - L. Tamanini - D. Vorotnikov
The dynamical Schrödinger problem in abstract metric spaces
(Advances in Mathematics - 2023) [arXiv] [journal]G. Carlier, P. Pegon, L. Tamanini
Convergence rate of general entropic optimal transport costs
(Calculus of Variations and Partial Differential Equations - 2023) [arXiv] [journal]L. Tamanini
A generalization of Costa's Entropy Power Inequality
(IEEE Transactions on Information Theory - 2022) [arXiv] [journal]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]G. Conforti - L. Tamanini
A formula for the time derivative of the entropic cost and applications
(Journal of Functional Analysis - 2021) [arXiv] [journal]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]N. Gigli - L. Tamanini
Second order differentiation formula on RCD*(K,N) spaces
(Journal of the European Mathematical Society (JEMS) - 2021) [arXiv] [journal]I. Gentil - C. Léonard - L. Ripani - L. Tamanini
An entropic interpolation proof of the HWI inequality
(Stochastic Processes and Their Applications - 2020) [arXiv] [journal]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]N. Gigli - L. Tamanini
Second order differentiation formula on RCD(K,N) spaces
(Rendiconti Lincei. Matematica e Applicazioni - 2018) [arXiv] [journal]
Thesis
L. Tamanini
Analysis and geometry of RCD spaces via the Schrödinger problem
(Phd Thesis - 2017) [cvgmt]
Reports
Small- and long-time asymptotics of Entropic Optimal Transport
(Oberwolfach Reports - 2021) [mfo]