Post Doc., Scuola Internazionale Superiore di Studi Avanzati - SISSA

Email: ndeponti AT sissa.it

Home-page: https://sites.google.com/view/nicolodeponti

orcid id: 0000-0001-7951-5987

Available papers (10):

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• G. B. De Luca - N. De Ponti - A. Mondino - A. Tomasiello (Preprint)
  Gravity from thermodynamics: optimal transport and negative effective dimensions (2022)
• G. B. De Luca - N. De Ponti - A. Mondino - A. Tomasiello (Journal of High Energy Physics)
  Cheeger bounds on spin-two fields (2021)
• N. De Ponti - S. Farinelli (Accepted Paper: Calculus of Variations and Partial Differential Equations)
  Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances (2021)
• N. De Ponti - A. Mondino - D. Semola (Journal of Functional Analysis)
  The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces (2021)
• N. De Ponti - A. Mondino (The Journal of Geometric Analysis)
  Sharp Cheeger-Buser type inequalities in $RCD(K,\infty)$ spaces (2020)
• N. De Ponti - A. Mondino (Accepted Paper: Probability Theory and Related Fields)
  Entropy-Transport distances between unbalanced metric measure spaces (2020)
• N. De Ponti (Ph.D. Thesis)
  Optimal transport: entropic regularizations, geometry and diffusion PDEs (2019)
• N. De Ponti (Accepted Paper: IEEE Transactions on Information Theory)
  Metric properties of homogeneous and spatially inhomogeneous F-divergences (2019)
• N. De Ponti - M. Muratori - C. Orrieri (Accepted Paper: Journal of Functional Analysis)
  Wasserstein stability of porous medium-type equations on manifolds with Ricci curvature bounded below (2019)
• N. De Ponti (Differential Geometry and its Applications)
  Concentration on submanifolds of positively curved homogeneous spaces (2017)