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hal-00769384v1  Article dans une revue
Nicola GigliMichel LedouxFROM LOG SOBOLEV TO TALAGRAND: A QUICK PROOF
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2013, pp.dcds.2013.33.xx. <10.3934>
hal-00769370v1  Article dans une revue
Luigi AmbrosioNicola GigliAndrea MondinoTapio RajalaRiemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure
Transactions of the American Mathematical Society, American Mathematical Society, 2015, 367, pp.4661-4701
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hal-00769391v1  Communication dans un congrès
Luigi AmbrosioNicola GigliA user's guide to optimal transport
CIME summer school, 2009, Italy
hal-00769363v1  Article dans une revue
Luigi AmbrosioNicola GigliGiuseppe SavaréBakry–Émery curvature-dimension condition and Riemannian Ricci curvature bounds
The Annals of Applied Probability : an official journal of the institute of mathematical statistics, The Institute of Mathematical Statistics, 2015, 43 (1), pp.339-404. <10.1214/14-AOP907>
hal-00769378v1  Pré-publication, Document de travail
Luigi AmbrosioNicola GigliGiuseppe SavaréCalculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
Minor typos corrected and many small improvements added. Lemma 2.4, Lemma 2.10, Prop. 5.7, Rem. 5.. 2012
hal-00769376v1  Pré-publication, Document de travail
Luigi AmbrosioNicola GigliGiuseppe SavaréMetric measure spaces with Riemannian Ricci curvature bounded from below
(v2) Minor typos, proof of Proposition 2.3, proof of Theorem 4.8: corrected. Proof of Theorem 6.2.. 2012
hal-00769373v1  Pré-publication, Document de travail
Luigi AmbrosioNicola GigliGiuseppe SavaréHeat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
To the memory of Enrico Magenes, whose exemplar life, research and teaching shaped generations of.. 2012
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tel-00769381v1  HDR
Nicola GigliGeometric and analytic properties of some non-smooth structures
Classical Analysis and ODEs [math.CA]. Université Nice Sophia Antipolis, 2011
hal-00920386v1  Pré-publication, Document de travail
Nicola GigliThe splitting theorem in non-smooth context
104 pages. 2013
hal-00769374v1  Article dans une revue
Luigi AmbrosioNicola GigliGiuseppe SavaréDensity of Lipschitz functions and equivalence of weak gradients in metric measure spaces
Revista Matemática Iberoamericana, European Mathematical Society, 2013, 29 (3), pp.969-996. <10.4171/RMI/746>
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hal-00769387v1  Article dans une revue
Nicola GigliSunra MosconiA variational approach to the Navier-Stokes equations
Bulletin des Sciences Mathématiques, Elsevier, 2012, pp.1-21
hal-00838912v1  Article dans une revue
Alessio FigalliNicola GigliLocal semiconvexity of Kantorovich potentials on non-compact manifolds
ESAIM: Control, Optimisation and Calculus of Variations, EDP Sciences, 2011, 17 (3), pp.648-653. <10.1051/cocv/2010011>
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hal-00769390v1  Article dans une revue
Nicola GigliKazumasa KuwadaOhta Shin IchiHeat flow on Alexandrov spaces
Communications on Pure and Applied Mathematics, Wiley, 2012, pp.1-23