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[gigli]
Nicola Gigli
Assistant Professor, University of Nice
Email:
nicolagigli
AT
googlemail.com
Available papers (34):
[plain text]
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
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