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. Korevaar–Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. MATHEMATISCHE ZEITSCHRIFT. 2021 ;298:1221–1261.
. On the inverse implication of Brenier-McCann theorems and the structure of P_2(M). METHODS AND APPLICATIONS OF ANALYSIS [Internet]. 2011 ;18:127–158. Available from: http://intlpress.com/site/pub/pages/journals/items/maa/content/vols/0018/0002/index.html
. The injectivity radius of Lie manifolds. ArXiv e-prints [Internet]. 2017 . Available from: https://arxiv.org/pdf/1707.07595.pdf
. Infinitesimal Hilbertianity of Locally CAT (κ) -Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS. 2021 ;31:7621–7685.
. Independence on p of weak upper gradients on RCD spaces. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2016 ;271:1–11. Available from: https://doi.org/10.1016/j.jfa.2016.04.014
. On Holder continuity in time of the optimal transport map towards measures along a curve. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. 2011 ;54:401–409.
. On the heat flow on metric measure spaces: Existence, uniqueness and stability. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2010 ;39:101–120. Available from: https://doi.org/10.1007/s00526-009-0303-9
. Heat Flow on Alexandrov spaces. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS [Internet]. 2013 ;66:307–331. Available from: https://arxiv.org/abs/1008.1319
. Heat flow and calculus on metric measure spaces with ricci curvature bounded below—The compact case. In: Analysis and numerics of partial differential equations. Vol. 4. Analysis and numerics of partial differential equations. Milano: Springer Italia; 2013. pp. 63–115. Available from: http://www.springer.com/la/book/9788847025912
. Gromov-Hausdorff convergence of discrete transportation metrics. SIAM JOURNAL ON MATHEMATICAL ANALYSIS [Internet]. 2013 ;45:879–899. Available from: http://cdsads.u-strasbg.fr/abs/2012arXiv1207.6501G
. Gradient flows : in metric spaces and in the space of probability measures. Basel: Birkhäuser; 2005 pp. 1–333.
. Global Lipschitz extension preserving local constants. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI [Internet]. 2020 ;31:757–765. Available from: https://arxiv.org/abs/2007.10011
. From volume cone to metric cone in the nonsmooth setting. GEOMETRIC AND FUNCTIONAL ANALYSIS [Internet]. 2016 ;26:1526–1587. Available from: https://arxiv.org/abs/1512.03113
. From log Sobolev to Talagrand: a quick proof. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2013 ;33:1927–1935.
. A flow tangent to the Ricci flow via heat kernels and mass transport. ADVANCES IN MATHEMATICS [Internet]. 2014 ;250:74–104. Available from: https://arxiv.org/abs/1208.5815
. A first-order condition for the independence on p of weak gradients. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2022 ;283:1–52. Available from: https://arxiv.org/abs/2112.12849
. First variation formula in Wasserstein spaces over compact Alexandrov spaces. CANADIAN MATHEMATICAL BULLETIN. 2012 ;55:723–735.
. Fine Representation of Hessian of Convex Functions and Ricci Tensor on RCD Spaces. POTENTIAL ANALYSIS [Internet]. 2024 . Available from: https://arxiv.org/abs/2310.07536
. Euclidean spaces as weak tangents of infinitesimally Hilbertian metric mea- sure spaces with Ricci curvature bounded below. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. 2015 ;705:233–244.
. Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces. COMMUNICATIONS IN ANALYSIS AND GEOMETRY [Internet]. 2022 ;30:1–51. Available from: https://arxiv.org/abs/1611.09645
. Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces.; 2016.
. Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2013 ;47:181–206. Available from: http://cvgmt.sns.it/paper/143/