[gigli]

Nicola Gigli

Assistant Professor, University of Nice

Email: nicolagigli AT googlemail.com

Available papers (34):

• N. Gigli (Submitted Paper)
  The splitting theorem in non-smooth context (2013)
• N. Gigli - A. Mondino - T. Rajala (Preprint)
  Euclidean spaces as weak tangents of infinitesimally Hilbertian metric spaces with Ricci curvature bounded below (2013)
• N. Gigli - T. Rajala - K. T. Sturm (Submitted Paper)
  Optimal maps and exponentiation on finite dimensional spaces with Ricci curvature bounded from below (2013)
• N. Gigli (Submitted Paper)
  An overview on the proof of the splitting theorem in non-smooth context (2013)
• N. Gigli (Preprint)
  On the differential structure of metric measure spaces and applications (2012)
• N. Gigli (Preprint)
  On the relation between the curvature-dimension condition and the Bochner inequality (2012)
• L. Ambrosio - N. Gigli - G. Savaré (Preprint)
  Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case (2012)
• L. Ambrosio - N. Gigli - A. Mondino - T. Rajala (Accepted Paper: Transactions of the AMS)
  Riemannian Ricci curvature lower bounds in metric measure spaces with $\sigma$-finite measure (2012)
• N. Gigli - J. Maas (Submitted Paper)
  Gromov-Hausdorff convergence of discrete transportation metrics (2012)
• N. Gigli - C. Mantegazza (Submitted Paper)
  A Flow Tangent to the Ricci Flow via Heat Kernels and Mass Transport (2012)
• N. Gigli - S. Mosconi (Submitted Paper)
  The Abresch-Gromoll inequality in a non-smooth setting (2012)
• N. Gigli - A. Mondino (Accepted Paper: Journal de Math. Pures et Appl.)
  A PDE approach to nonlinear potential theory in metric measure spaces (2012)
• L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
  Bakry-Emery curvature-dimension condition and Riemannian Ricci curvature bounds (2012)
• N. Gigli - S. Mosconi (Accepted at Bullettin des Sciences Mathematiques)
  A variational approach to the Navier-Stokes equations (2011)
• L. Ambrosio - N. Gigli
  A user's guide to optimal transport (2011)
• L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
  Metric measure spaces with Riemannian Ricci curvature bounded from below (2011)
• N. Gigli (Accepted at GAFA)
  Optimal maps in non branching spaces with Ricci curvature bounded from below (2011)
• L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
  Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below (2011)
• N. Gigli (Memoire HDR)
  Geometric and analytic properties of some non smooth structures (2011)
• L. Ambrosio - N. Gigli - G. Savaré (Submitted Paper)
  Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces (2011)
• N. Gigli - M. Ledoux (Accepted Paper: DCDS-A)
  From log Sobolev to Talagrand: a quick proof (2011)
• N. Gigli - F. Otto (Accepted at Calc.Var and PDE)
  Entropic Burgers' equation via a minimizing movement scheme based on the Wasserstein metric (2010)
• N. Gigli - K. Kuwada - S. I. Ohta (Accepted at CPAM)
  Heat Flow on Alexandrov spaces (2010)
• N. Gigli (Accepted Paper: Calc. Var. Part. Diff. Eq.)
  On the Heat flow on metric measure spaces: existence, uniqueness and stability (2010)
• N. Gigli - S. I. Ohta (Accepted Paper: Canad. Math. Bull.)
  First variation formula in Wasserstein spaces over compact Alexandrov spaces (2010)
• A. Figalli - N. Gigli (Accepted Paper: ESAIM Control Optim. Calc. Var.)
  Local semiconvexity of Kantorovich potentials on non-compact manifolds (2009)
• N. Gigli (Accepted Paper: Rendiconti di matematica)
  On the weak closure of convex sets of Probability measures (2009)
• N. Gigli (Accepted Paper: Meth. Appl. of Anal.)
  On the inverse implication of Brenier-McCann theorems and the structure of $(P_2(M),W_2)$ (2009)
• A. Figalli - N. Gigli (Accepted Paper: J. Math. Pures Appl.)
  A new transportation distance between non-negative measures, with applications to gradients flows with Dirichlet boundary conditions (2009)
• N. Gigli (Accepted Paper: Memoirs of the American Mathematical Society)
  Second order analysis on (P_2(M),W_2) (2009)
• N. Gigli (Ph.D. Thesis)
  On the geometry of the space of probability measures endowed with the quadratic optimal transport distance (2008)
• L. Ambrosio - N. Gigli (Accepted Paper: Methods and Applications of Analysis)
  Construction of the parallel transport in the Wasserstein space (2008)
• N. Gigli (Accepted Paper: Proceedings of the Edinburgh Mathematical Society)
  On Hölder continuity in time of the optimal transport map towards measures along a curve (2008)
• L. Ambrosio - N. Gigli - G. Savare' (Accepted Paper)
  Gradient flows with metric and differentiable structures, and applications to the Wasserstein space (2003)

Seminars:

• 3 apr 2003: Sulle equazioni del primo ordine con coefficienti in spazi di Sobolev. I I
• 27 mar 2003: Sulle equazioni del primo ordine con coefficienti in spazi di Sobolev, I