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Gigli N, Mondino A, Semola D. On the notion of Laplacian bounds on RCD spaces and applications. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2024 :1–12. Available from: https://www.ams.org/journals/proc/0000-000-00/S0002-9939-2023-16550-8/S0002-9939-2023-16550-8.pdf
Gigli N, Ledoux M. From log Sobolev to Talagrand: a quick proof. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2013 ;33:1927–1935.
Gigli N, Rigoni C. Recognizing the flat torus among RCD*(0 , N) spaces via the study of the first cohomology group. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2018 ;57:1–39. Available from: https://link.springer.com/article/10.1007%2Fs00526-018-1377-z
Gigli N, Tyulenev A. Korevaar–Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. MATHEMATISCHE ZEITSCHRIFT. 2021 ;298:1221–1261.
Gigli N, Mosconi S. The abstract Lewy-Stampacchia inequality and applications. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES [Internet]. 2015 ;104:258–275. Available from: https://arxiv.org/abs/1401.4911
Gigli N, Mondino A. A PDE approach to nonlinear potential theory. JOURNAL DE MATHÉMATIQUES PURES ET APPLIQUÉES. 2013 ;100:505–534.
Gigli N. Nonsmooth differential geometry : an approach tailored for spaces with Ricci curvature bounded from below. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2018 ;251:1–174. Available from: http://www.ams.org/books/memo/1196/
Gigli N, Nobili F. A Differential Perspective on Gradient Flows on CAT(K)-Spaces and Applications. [Internet]. 2021 ;31(12):11780 - 11818. Available from: https://doi.org/10.1007/s12220-021-00701-5
Gigli N, Otto F. 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/
Gigli N. Optimal maps in non branching spaces with Ricci curvature bounded from below. GEOMETRIC AND FUNCTIONAL ANALYSIS. 2012 ;22:990–999.
Gigli N, Mass J. 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
Gigli N. Second Order Analysis on (P-2(M), W-2). MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2012 ;216:1–173. Available from: http://www.ams.org/books/memo/1018/
Gigli N, Nobili F. 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
Gigli N, Figalli A. Local semiconvexity of Kantorovich potentials on non-compact manifolds. ESAIM. COCV. 2011 ;17:648–653.
Gigli N. Weak closure of geodesically convex subsets of Probability measures. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO [Internet]. 2009 . Available from: http://cvgmt.sns.it/paper/599/
Gigli N. 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
Gigli N, Tamanini L. Benamou–Brenier and duality formulas for the entropic cost on RCD*(K,N) spaces. Probability Theory and Related Fields [Internet]. 2019 . Available from: https://doi.org/10.1007/s00440-019-00909-1
Gigli N, Ohta Sichi. First variation formula in Wasserstein spaces over compact Alexandrov spaces. CANADIAN MATHEMATICAL BULLETIN. 2012 ;55:723–735.
Gigli N, Mosconi S. The Abresch-Gromoll inequality in a non-smooth setting. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS [Internet]. 2014 ;34:1481–1509. Available from: https://arxiv.org/abs/1209.3813
Gigli N, Rigoni C. A Note about the Strong Maximum Principle on RCD Spaces. CANADIAN MATHEMATICAL BULLETIN [Internet]. 2019 ;62:259–266. Available from: https://arxiv.org/abs/1706.01998
Gigli N, Tamanini L. Benamou–Brenier and duality formulas for the entropic cost on RCD∗(K, N) spaces. PROBABILITY THEORY AND RELATED FIELDS [Internet]. 2020 ;176:1–34. Available from: https://arxiv.org/abs/1805.06325v1
Gigli N, Rajala T, Sturm KT. Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2016 ;26:2914–2929. Available from: http://cdsads.u-strasbg.fr/abs/2013arXiv1305.4849G
Gigli N, Ambrosio L, Savaré G. Gradient flows : in metric spaces and in the space of probability measures. Basel: Birkhäuser; 2005 pp. 1–333.
Gigli N, Pasqualetto E. Equivalence of two different notions of tangent bundle on rectifiable metric measure spaces.; 2016.
Gigli N, Ketterer C, Kuwada K, Ohta S-I. Rigidity for the spectral gap on rcd(K, ∞)-spaces. AMERICAN JOURNAL OF MATHEMATICS. 2020 ;142:1559–1594.

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