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Gigli N, Violo IYuri. Monotonicity formulas for harmonic functions in RCD(0,N) spaces. 2021 .
Gigli N, Tamanini L. Second order differentiation formula on compact RCD*(K,N) spaces.; 2017.
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, Pasqualetto E. On the notion of parallel transport on RCD spaces.; 2018.
Gigli N. Lecture notes on differential calculus on RCD spaces. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES [Internet]. 2018 ;54:855–918. Available from: https://www.ems-ph.org/journals/show_abstract.php?issn=0034-5318&vol=54&iss=4&rank=4
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, Mosconi S. A variational approach to the Navier-Stokes equations. BULLETIN DES SCIENCES MATHEMATIQUES. 2012 ;136:256–276.
Gigli N, Ambrosio L. Construction of the parallel transport in the Wasserstein space. METHODS AND APPLICATIONS OF ANALYSIS [Internet]. 2008 ;15:1–30. Available from: https://projecteuclid.org/euclid.maa/1228920869
Gigli N. On the differential structure of metric measure spaces and applications. MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY [Internet]. 2015 ;236:1–91. Available from: http://cvgmt.sns.it/paper/1800/
Gigli N, Mondino A, Rajala T. 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.
Gigli N, Suzuki K, Vincini S. Pyramids for infinite product spaces. 2025 .
Gigli N, Kuwada K, Shin IOhta. Heat Flow on Alexandrov spaces. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS [Internet]. 2013 ;66:307–331. Available from: https://arxiv.org/abs/1008.1319
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, Marconi F. A general splitting principle on RCD spaces and applications to spaces with positive spectrum.; 2023.
Gigli N, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. EXPOSITIONES MATHEMATICAE. 2019 ;38:480–495.
Gigli N, Pasqualetto E. On the notion of parallel transport on RCD spaces. REVISTA MATEMATICA IBEROAMERICANA. 2020 ;36:571–609.
Gigli N. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
Gigli N, Tyulenev A. Korevaar–Schoen’s energy on strongly rectifiable spaces. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS [Internet]. 2021 ;60:1–54. Available from: https://arxiv.org/abs/2002.07440
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, 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. 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.
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, Pasqualetto E. 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
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, Vincini S. Stability of the heat flow under convergence in concentration and consequences. 2024 .

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