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Gigli N. 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
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, 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, Pasqualetto E. On the notion of parallel transport on RCD spaces. REVISTA MATEMATICA IBEROAMERICANA. 2020 ;36:571–609.
Gigli N. On the regularity of harmonic maps from RCD(K,N) to CAT(0) spaces and related results. Ars Inveniendi Analytica [Internet]. 2023 . Available from: https://arxiv.org/abs/2204.04317
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. Optimal maps in non branching spaces with Ricci curvature bounded from below. GEOMETRIC AND FUNCTIONAL ANALYSIS. 2012 ;22:990–999.
Gigli N, Rigoni C. Partial derivatives in the nonsmooth setting. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2022 ;283:1–39. Available from: https://arxiv.org/abs/2012.03602
Gigli N. Propriétés géométriques et analytiques de certaines structures non lisses. [Internet]. 2011 . Available from: http://tel.archives-ouvertes.fr/tel-00769381
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. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
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.
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, Tamanini L. Second order differentiation formula on RCD(K,N) spaces. ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI [Internet]. 2018 ;29:377–386. Available from: https://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=29&iss=2&rank=10
Gigli N, Tamanini L. Second order differentiation formula on RCD∗(K;N) spaces. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY [Internet]. 2021 ;23:1727–1795. Available from: https://arxiv.org/abs/1802.02463
Gigli N, Han B-X. Sobolev spaces on warped products. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2018 ;275:2059–2095. Available from: https://www.sciencedirect.com/science/article/pii/S0022123618301381?via%3Dihub
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, 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, Han BX. The continuity equation on metric measure spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2015 ;53:149–177. Available from: https://arxiv.org/abs/1406.6350
Gigli N, Veit M, Kotiuga M, Pizzi G, Marzari N, Ceriotti M. Thermodynamics and dielectric response of BaTiO3 by data-driven modeling. NPJ COMPUTATIONAL MATERIALS. 2022 ;8:1–17.
Gigli N, Tamanini L, Trevisan D. Viscosity Solutions of Hamilton–Jacobi Equation in RCD(K,∞) Spaces and Applications to Large Deviations. POTENTIAL ANALYSIS [Internet]. 2024 . Available from: https://arxiv.org/abs/2203.11701
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/

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