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Nicola Gigli

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2025
Braun M, Gigli N, McCann R, Vincini S. Causal Sobolev spaces and gradient flows. 2025 .
Braun M, Gigli N, McCann R, Vincini S, Zanardini M. Gradient flows of causally convex functions. 2025 .
Gigli N, Suzuki K, Vincini S. Pyramids for infinite product spaces. 2025 .
2024
Brena C, Gigli N. About the general chain rule for functions of bounded variation. NONLINEAR ANALYSIS [Internet]. 2024 ;242:1–12. Available from: https://arxiv.org/abs/2307.06008
Brena C, Gigli N. Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2024 ;34:1–54. Available from: https://arxiv.org/abs/2204.04174
Gennaioli L, Gigli N, Zhang H-C, Zhu X-P. Comments on the regularity of harmonic maps between singular spaces.; 2024.
Brena C, Gigli N. 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
Brena C, Gigli N. Local vector measures. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2024 ;286:1–77. Available from: https://arxiv.org/abs/2204.04174
Gigli N, Gennaioli L. A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces. CANADIAN MATHEMATICAL BULLETIN [Internet]. 2024 :1–9. Available from: https://arxiv.org/abs/2210.07010
Gennaioli L, Gigli N. A note about charts built by Eriksson-Bique and Soultanis on metric measure spaces. Canadian Mathematical Bulletin. 2024 ;67:49–59.
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, Vincini S. Stability of the heat flow under convergence in concentration and consequences. 2024 .
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
2023
Gigli N, Marconi F. A general splitting principle on RCD spaces and applications to spaces with positive spectrum.; 2023.
Gigli N, Violo IY. Monotonicity Formulas for Harmonic Functions in RCD (0 , N) Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2023 ;33:1–89. Available from: https://arxiv.org/abs/2101.03331
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
Brena C, Gigli N, Honda S, Zhu X. Weakly non-collapsed RCD spaces are strongly non-collapsed. JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK [Internet]. 2023 ;2023:215–252. Available from: https://arxiv.org/abs/2110.02420
2022
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, 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, 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, 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.
2021
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, Nobili F. A Differential Perspective on Gradient Flows on CAT(κ) -Spaces and Applications. THE JOURNAL OF GEOMETRIC ANALYSIS [Internet]. 2021 ;31:11780–11818. Available from: https://arxiv.org/abs/2012.12952
Cavalletti F, Gigli N, Santarcangelo F. Displacement convexity of Entropy and the distance cost Optimal Transportation. ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE. [Internet]. 2021 ;30:411–427. Available from: https://arxiv.org/abs/2005.00243
Cavalletti F, Gigli N, Santarcangelo F. Displacement convexity of Entropy and the distance cost Optimal Transportation. Annales de la Faculté des sciences de Toulouse : Mathématiques [Internet]. 2021 ;Ser. 6, 30:411–427. Available from: https://afst.centre-mersenne.org/articles/10.5802/afst.1679/

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