Preprints
N. De Ponti, G. Stefani, " Properties of Lipschitz smoothing heat semigroups", https://arxiv.org/abs/2403.00620
N. De Ponti, S. Pigola, G. Veronelli, " Unique continuation at infinity: Carleman estimates on general warped cylinders", http://arxiv.org/abs/2401.12367
Journal Papers
N. De Ponti, S. Farinelli, I.Y. Violo, " Pleijel nodal domain theorem in non-smooth setting", accepted on Transactions of the American Mathematical Society, https://arxiv.org/abs/2307.13983
G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello, " Harmonic functions and gravity localization", Journal of High Energy Physics, 2023, 127 (2023).
G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello, " Gravity from thermodynamics: optimal transport and negative effective dimensions", SciPost Physics, 15, 039 (2023).
N. De Ponti, A. Mondino, " Entropy-Transport distances between unbalanced metric measure spaces", Probability Theory and Related Fields, 184, no. 1-2, (2022).
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, Volume 283, Issue 9, (2022).
N. De Ponti, S. Farinelli, " Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances", Calculus of Variations and Partial Differential Equations, 61, Article number: 131 (2022).
N. De Ponti, " Concentration on submanifolds of positively curved homogeneous spaces", Differential Geometry and its Applications, volume 80, (2022).
G. B. De Luca, N. De Ponti, A. Mondino, A. Tomasiello, " Cheeger bounds on spin-two fields", Journal of High Energy Physics, volume 2021, Article number: 217 (2021).
N. De Ponti, A. Mondino, D. Semola, " The equality case in Cheeger's and Buser's inequality on RCD spaces", Journal of Functional Analysis, volume 281, Issue 3, (2021).
N. De Ponti, A. Mondino, " Sharp Cheeger-Buser type inequalities in RCD(K,∞) spaces", The Journal of Geometric Analysis, 31, (2021), pp. 2416–2438.
N. De Ponti," Metric properties of homogeneous and spatially inhomogeneous F-divergences", IEEE Transactions on Information Theory, 66, Issue 5, (2020), pp. 2872 - 2890.
An updated list of my papers can be also found at: https://cvgmt.sns.it/person/2450/