N. De Ponti: Concentration on submanifolds of positively curved homogeneous spaces Differential Geometry and its Applications 2017 N. De Ponti: Optimal transport: entropic regularizations, geometry and diffusion PDEs (Ph.D. Thesis) 2019 N. De Ponti: Metric properties of homogeneous and spatially inhomogeneous F-divergences IEEE Transactions on Information Theory (Accepted Paper) 2019 N. De Ponti, M. Muratori, C. Orrieri: Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below Journal of Functional Analysis (Accepted Paper) 2019 N. De Ponti, A. Mondino: Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces The Journal of Geometric Analysis 2020 N. De Ponti, A. Mondino: Entropy-Transport distances between unbalanced metric measure spaces Probability Theory and Related Fields (Accepted Paper) 2020 G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello: Cheeger bounds on spin-two fields Journal of High Energy Physics 2021 N. De Ponti, S. Farinelli: Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances Calculus of Variations and Partial Differential Equations (Accepted Paper) 2021 N. De Ponti, A. Mondino, D. Semola: The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces Journal of Functional Analysis Vol. 281, N. 3, 2021 G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello: Gravity from thermodynamics: optimal transport and negative effective dimensions SciPost Physics (Accepted Paper) 2022 N. De Ponti, S. Farinelli, I. Y. Violo: Pleijel nodal domain theorem in non-smooth setting (Preprint) 2023 G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello: Harmonic functions and gravity localization The Journal of High Energy Physics (Accepted Paper) 2023 N. De Ponti, S. Pigola , G. Veronelli: Unique continuation at infinity: Carleman estimates on general warped cylinders (Preprint) 2024 N. De Ponti, G. Stefani: Properties of Lipschitz smoothing heat semigroups (Submitted Paper) 2024