MENU

You are here

Home » Research

Publications

Export 72 results:
Filters: Author is Nicola Gigli  [Clear All Filters]
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 
G
Gigli N. An overview of the proof of the splitting theorem in spaces with non-negative ricci curvature. ANALYSIS AND GEOMETRY IN METRIC SPACES [Internet]. 2014 ;2:169–213. Available from: https://arxiv.org/abs/1305.4854
Gigli N, Pasqualetto E. Behaviour of the reference measure on RCD spaces under charts. COMMUNICATIONS IN ANALYSIS AND GEOMETRY. 2017 .
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, 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, Mondino A, Savaré G. Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY [Internet]. 2015 ;111:1071–1129. Available from: https://arxiv.org/abs/1311.4907
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
Gigli N, Pasqualetto E. Differential structure associated to axiomatic Sobolev spaces. EXPOSITIONES MATHEMATICAE. 2019 ;38:480–495.
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, 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, 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, Ohta Sichi. First variation formula in Wasserstein spaces over compact Alexandrov spaces. CANADIAN MATHEMATICAL BULLETIN. 2012 ;55:723–735.
Gigli N, Ledoux M. From log Sobolev to Talagrand: a quick proof. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. 2013 ;33:1927–1935.
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, 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, 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, Han BXian. Independence on p of weak upper gradients on RCD spaces. JOURNAL OF FUNCTIONAL ANALYSIS [Internet]. 2016 ;271:1–11. Available from: https://doi.org/10.1016/j.jfa.2016.04.014
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
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, 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
Gigli N, Figalli A. Local semiconvexity of Kantorovich potentials on non-compact manifolds. ESAIM. COCV. 2011 ;17:648–653.
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. 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. 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. 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/

Pages

Sign in