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Nicola Gigli

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Miscellaneous
Gigli N, Nobili F. A first-order condition for the independence on p of weak gradients. 2021 .
Journal Article
Di Marino S, Gigli N, Pasqualetto E, Soultanis E. Infinitesimal Hilbertianity of Locally CAT (κ) -Spaces. THE JOURNAL OF GEOMETRIC ANALYSIS. 2021 ;31:7621–7685.
Gigli N, Tyulenev A. Korevaar–Schoen’s directional energy and Ambrosio’s regular Lagrangian flows. MATHEMATISCHE ZEITSCHRIFT. 2021 ;298:1221–1261.
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
Miscellaneous
Gigli N, Violo IYuri. Monotonicity formulas for harmonic functions in RCD(0,N) spaces. 2021 .
Caputo E, Gigli N, Pasqualetto E. Parallel transport on non-collapsed $\mathsfRCD(K,N)$ spaces. 2021 .
Journal Article
Debin C, Gigli N, Pasqualetto E. Quasi-Continuous Vector Fields on RCD Spaces. POTENTIAL ANALYSIS [Internet]. 2021 ;54:183–211. Available from: https://arxiv.org/abs/1903.04302
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, 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, Pasqualetto E, Soultanis E. Differential of metric valued Sobolev maps. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2020 ;278:1–18. Available from: https://arxiv.org/abs/1807.10063v1
Di Marino S, Gigli N, Pratelli A. 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
Book
Gigli N, Pasqualetto E. Lectures on Nonsmooth Differential Geometry. Cham: Springer; 2020 pp. 1–204. Available from: https://books.sissa.it/libero/WebOpac.cls?VERSION=2&ACTION=DISPLAY&RSN=49974&DATA=DLS&TOKEN=rnz5TAi0pF7744&Z=1&SET=1
Journal Article
Gigli N, Pasqualetto E. On the notion of parallel transport on RCD spaces. REVISTA MATEMATICA IBEROAMERICANA. 2020 ;36:571–609.
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, 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, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. EXPOSITIONES MATHEMATICAE. 2019 ;38:480–495.
Gigli N, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. Expositiones Mathematicae [Internet]. 2019 . Available from: http://www.sciencedirect.com/science/article/pii/S0723086918300975
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, Rigoni C. A Note About the Strong Maximum Principle on RCD Spaces. Canadian Mathematical Bulletin. 2019 ;62:259–266.
Preprint
Debin C, Gigli N, Pasqualetto E. Quasi-continuous vector fields on RCD spaces.; 2019.
Journal Article
Gigli N. Riemann curvature tensor on RCD spaces and possible applications. COMPTES RENDUS MATHÉMATIQUE. 2019 ;357:613–619.
Preprint
Gigli N, Pasqualetto E, Soultanis E. Differential of metric valued Sobolev maps.; 2018.
Journal Article
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
De Philippis G, Gigli N. Non-collapsed spaces with Ricci curvature bounded from below. JOURNAL DE L'ÉCOLE POLYTECHNIQUE. MATHÉMATIQUES [Internet]. 2018 ;5:613–650. Available from: https://jep.centre-mersenne.org/item/JEP_2018__5__613_0/
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/

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