F. Santambrogio:
Misure Ottime per Costi di Trasporto e Funzionali Locali
(Degree Thesis) 2003
G. Carlier, F. Santambrogio:
A Variational Model for Urban Planning with Traffic Congestion
ESAIM: COCV Vol. 11, N. 4, p. 595-613, 2005
F. Santambrogio, P. Tilli:
Blow-up of Optimal Sets in the Irrigation Problem
J. Geom. Anal. Vol. 15, N. 2, p. 343-362, 2005
G. Buttazzo, F. Santambrogio:
A Model for the Optimal Planning of an Urban Area
SIAM J. Math. Anal. Vol. 37, N. 2, p. 514-530, 2005
G. Buttazzo, F. Santambrogio, N. Varchon:
Asymptotics of an optimal compliance-location problem
ESAIM: COCV Vol. 12, N. 4, p. 752-769, 2006
F. Santambrogio:
Variational problems in transport theory with mass concentration
(Ph.D. Thesis) 2006
A. Brancolini, G. Buttazzo, F. Santambrogio:
Path Functionals over Wasserstein Spaces
J. Eur. Math. Soc. Vol. 8, N. 3, p. 415-434, 2006
L. Ambrosio, F. Santambrogio:
Necessary optimality conditions for geodesics in weighted Wasserstein spaces
Rend. Lincei - Mat. e Appl. Vol. 18, N. 1, p. 23 - 37, 2007
J. M. Morel, F. Santambrogio:
Comparison of distances between measures
Appl. Math. Lett. Vol. 20, N. 4, p. 427-432, 2007
F. Santambrogio:
Transport and Concentration Problems with Interaction Effects
J. Glob. Opt. Vol. 38, N. 1, p. 129-141, 2007
F. Santambrogio:
Optimal Channel Networks, Landscape Function and Branched Transport
Interfaces and Free Boundaries Vol. 9, p. 149-169, 2007
G. Buttazzo, F. Santambrogio:
Asymptotical compliance optimization for connected networks
Networks and Heterogeneous Media Vol. 2, N. 4, p. 761 - 777, 2007
M. Bernot, A. Figalli, F. Santambrogio:
Generalized solutions for the Euler equations in one and two dimensions
J. Math. Pures Appl. (Accepted Paper) 2008
J. M. Morel, F. Santambrogio:
The regularity of optimal irrigation patterns
Arch. Ration. Mech. Anal. (Accepted Paper) 2008
G. Carlier, C. Jimenez, F. Santambrogio:
Optimal transportation with traffic congestion and Wardrop equilibria
SIAM J. Control and Optimization Vol. 47, N. 3, p. 1330-1350, 2008
F. Santambrogio, F. X. Vialard:
A semi derivation lemma on BV functions
(Submitted Paper) 2008
F. Santambrogio, F. X. Vialard:
Extension to BV functions of the large deformation diffeomorphisms matching approach
C. R. Math. Acad. Sci. Paris Vol. 347, N. 1--2, p. 27-32, 2009
F. Santambrogio:
Problèmes classiques et moins classiques en transport optimal: régularité, approximation, EDP et applications
(Habilitation thesis) 2009
F. Balabdaoui, K. Rufibach, F. Santambrogio:
Least Squares estimation of two ordered monotone regression curves
Journal of Nonparametric Statistics (Accepted Paper) 2009
F. Santambrogio:
Absolute continuity and summability of transport densities: simpler proofs and new estimates
Calc. Var. Par. Diff. Eq. (Accepted Paper) 2009
G. Buttazzo, F. Santambrogio:
A Mass Transportation Model for the Optimal Planning of an Urban Region
Siam Review Vol. 51, N. 3, p. 593-610, 2009
G. Carlier, L. De Pascale, F. Santambrogio:
A strategy for non-strictly convex transport costs and the example of $||x-y||^p$ in ${\mathbb R}^2$
Communications in Mathematical Sciences (Accepted Paper) p. 9, 2009
F. Benmansour, G. Carlier, G. Peyré, F. Santambrogio:
Numerical Approximation of Continuous Traffic Congestion Equilibria
Net. Het. Media Vol. 4, N. 3, p. 577 - 604, 2009
G. Carlier, A. Galichon, F. Santambrogio:
From Knothe's transport to Brenier's map and a continuation method for optimal transport
SIAM J. Math. An. (Accepted Paper) 2009
A. Brancolini, G. Buttazzo, F. Santambrogio, E. Stepanov:
Long-term planning versus short-term planning in the asymptotical location problem
ESAIM Control Optim. Calc. Var. Vol. 15, p. 509-524, 2009
L. Brasco, F. Santambrogio:
An equivalent path functional formulation of branched transportation problems
Discrete Contin. Dyn. Syst. (Accepted Paper) 2010
F. Santambrogio:
A Modica-Mortola approximation for branched transport
Comptes Rendus Acad. Sci. Vol. 348, p. 941-945, 2010
B. Maury, A. Roudneff-Chupin, F. Santambrogio:
A macroscopic crowd motion model of gradient flow type
M3AS Vol. 20, N. 10, p. 1787-1821, 2010
A. Lachapelle, F. Santambrogio:
On the strategic use of risk and undesirable goods in multidimensional screening
J. Math. Economics (Accepted Paper) 2010
F. Santambrogio:
Gradient flows in Wasserstein spaces and applications to crowd movement
(Preprint) 2010
F. Benmansour, G. Carlier, G. Peyré, F. Santambrogio:
Derivatives with respect to metrics and applications: Subgradient Marching Algorithm
Numerische Mathematik (Accepted Paper) 2010
L. Brasco, G. Buttazzo, F. Santambrogio:
A Benamou-Brenier approach to branched transport
SIAM J. Math. Anal. (Accepted Paper) 2010
F. Santambrogio, V. Vespri:
Continuity in two dimensions for a very degenerate elliptic equation
Nonlinear Analysis A (Accepted Paper) 2010
L. Brasco, G. Carlier, F. Santambrogio:
Congested traffic dynamics, weak flows and very degenerate elliptic equations
J. Math. Pures Appl. (Accepted Paper) 2010
B. Maury, A. Roudneff-Chupin, F. Santambrogio, J. Venel:
Handling congestion in crowd motion models
Net. Het. Media Vol. 6, N. 3, p. 485 519, 2011
G. Carlier, F. Santambrogio:
A continuous theory of traffic congestion and Wardrop equilibria
Vol. 390, p. 69-91, 2011
F. Santambrogio:
A Modest Proposal for MFG with Density Constraints
proceedings of the workshop "Mean Field Games and related topics", Rome, May 2011 (Submitted Paper) 2011
C. Jimenez, F. Santambrogio:
Optimal transportation for a quadratic cost with convex constraints and applications
J. Math. Pures et Appl. (Accepted Paper) 2011
E. Oudet, F. Santambrogio:
A Modica-Mortola approximation for branched transport and applications
Arch. Rati. Mech. An. (Accepted Paper) 2011
F. Santambrogio:
Inégalités isopérimétriques quantitatives, via le transport optimal (d'après Figalli, Maggi et Pratelli)
Proceedings of the Bourbaki Seminar () 2011
J. Louet, F. Santambrogio:
A sharp inequality for transport maps in $W^{1,p}(\mathbb{R})$ via approximation
Applied Math Letters Vol. 25, N. 3, p. 648-653, 2012
B. Maury, A. Roudneff-Chupin, F. Santambrogio:
Congestion-driven dendritic growth
(Submitted Paper) 2012
F. Santambrogio:
Flots de gradient dans les espaces métriques et leurs applications (d'après Ambrosio-Gigli-Savaré)
proceedings of the Bourbaki seminar 2012
D. Lesesvre, P. Pegon, F. Santambrogio:
Optimal transportation with an oscillation-type cost: the one-dimensional case
Set-Valued and Variational Analysis (Accepted Paper) 2013
Q. R. Li, F. Santambrogio, X. J. Wang:
Regularity in Monge's mass transfer problem
J. Math. Pures et Appl. (Accepted Paper) 2013
G. Buttazzo, F. Santambrogio, E. Stepanov:
Asymptotic optimal location of facilities in a competition between population and industries
Ann. Scuola Norm. Sup. Pisa Cl. Sci. Vol. 12, N. 1, p. 239273, 2013
P. Pegon, D. Piazzoli, F. Santambrogio:
Full characterization of optimal transport plans for concave costs
Discr. Cont. Dyn. Syst. - A (Accepted Paper) Vol. special issue, 2014
A. Blanchet, P. Mossay, F. Santambrogio:
Existence and uniqueness of equilibrium for a spatial model of social interactions
International Economic Review (Accepted Paper) 2014
A. Lemenant, F. Santambrogio:
A Modica-Mortola approximation for the Steiner Problem
Comptes Rendus Mathematique Vol. 352, N. 5, p. 451-454, 2014
F. Santambrogio:
A Dacorogna-Moser approach to flow decomposition and minimal flow problems
ESAIM: PROCEEDINGS (Accepted Paper) 2014
F. Santambrogio:
Introduction to Optimal Transport Theory
chapter in "Optimal Transportation, theory and applications", London Math. Soc. 2014
F. Santambrogio:
Models and applications of Optimal Transport in Economics, Traffic and Urban Planning
chapter in "Optimal Transportation, theory and applications", London Math. Soc. 2014
M. Bonnivard, A. Lemenant, F. Santambrogio:
Approximation of length minimization problems among compact connected sets.
SIAM Journal on Mathematical Analysis (Accepted Paper) 2014
G. Buttazzo, A. Chen, J. Darbon, J. M. Morel, F. Santambrogio:
On the equations of landscape formation
Interfaces Free Bound. Vol. 16, N. 1, p. 105-136, 2014
S. Di Marino, B. Maury, F. Santambrogio:
Measure sweeping processes
J. Conv. An. (Accepted Paper) 2015
F. Santambrogio:
Optimal Transport for Applied Mathematicians
(Book) 2015
G. De Philippis, A. R. Mészáros, F. Santambrogio, B. Velichkov:
BV Estimates in Optimal Transportation and Applications
Arch. Ration. Mech. An. (Accepted Paper) 2015
A. R. Mészáros, F. Santambrogio:
Advection-diffusion equations with density constraints
Analysis and PDEs (Accepted Paper) 2016
F. Santambrogio, X. J. Wang:
Convexity of the support of the displacement interpolation: counterexamples
Appl. Math. Letters (Accepted Paper) 2016
F. Santambrogio:
Dealing with moment measures via entropy and optimal transport
J. Functional Analysis (Accepted Paper) 2016
L. Brasco, F. Santambrogio:
A note on some Poincaré inequalities on convex sets by Optimal Transport methods
Springer Proceedings in Mathematics & Statistics (Accepted Paper) p. 13, 2016
L. De Pascale, J. Louet, F. Santambrogio:
The Monge problem with vanishing gradient penalization: vortices and asymptotic profile
J. Math. Pures Appl. Vol. 106, N. 2, p. 237-279, 2016
P. Cardaliaguet, A. R. Mészáros, F. Santambrogio:
First order Mean Field Games with density constraints: Pressure equals Price
SIAM J. Contr. Opt. (Accepted Paper) 2016
J. D. Benamou, G. Carlier, F. Santambrogio:
Variational Mean Field Games
"Active Particles, Volume 1: Theory, Models, Applications" (Accepted Paper) 2016
A. Monteil, F. Santambrogio:
Metric methods for heteroclinic connections
Mathematical Methods in the Applied Sciences p. on line first, 2016
A. Prosinski, F. Santambrogio:
Global-in-time regularity via duality for congestion-penalized Mean Field Games
Stochastics (Accepted Paper) 2017
F. Santambrogio:
Regularity via duality in calculus of variations and degenerate elliptic PDEs
Journal of Mathematical Analysis and Applications (Accepted Paper) 2017
F. Santambrogio:
$\big\{$Euclidean, Metric, and Wasserstein$\big\}$ Gradient Flows: an overview
Bulletin of Mathematical Sciences (Accepted Paper) 2017
L. Brasco, F. Santambrogio:
A sharp estimate à la Calderón-Zygmund for the $p-$Laplacian
Commun. Contemp. Math. (Accepted Paper) p. 22 pages, 2017
S. Dweik, F. Santambrogio:
Summability estimates on transport densities with Dirichlet regions on the boundary via symmetrization techniques
(Accepted Paper: COCV) 2017
J. A. Carrillo, F. Santambrogio:
$L^\infty$ estimates for the JKO scheme in parabolic-elliptic Keller-Segel systems
Quarterly of Applied Mathematics (Accepted Paper) 2017
H. Lavenant, F. Santambrogio:
Optimal density evolution with congestion: $L^\infty$ bounds via flow interchange techniques and applications to variational Mean Field Games
(Submitted Paper) 2017
F. Santambrogio, A. Xepapadeas, A. Yannacopoulos:
Spatial rational expectations equilibria in the Ramsey model of optimal growth
(Submitted Paper) 2017
J. A. Carrillo, S. Fagioli, F. Santambrogio, M. Schmidtchen:
Splitting schemes & segregation in reaction-(cross-)diffusion systems
(Submitted Paper) 2017
P. Pegon, F. Santambrogio, Q. Xia:
A fractal shape optimization problem in branched transport
J. Math. Pures Appl. (Accepted Paper) 2017
V. Recupero, F. Santambrogio:
Sweeping processes with prescribed behaviour on jumps
Annali di Matematica Pura ed Applicata (Accepted Paper) 2018
A. Monteil, F. Santambrogio:
Metric methods for heteroclinic connections in infinite dimensional spaces
Indiana Univ. Math. J. (Accepted Paper) 2018
F. Santambrogio:
Crowd motion and evolution PDEs under density constraints
proceedings of the 2017 SMAI conference (Accepted Paper) 2018
G. Mazanti, F. Santambrogio:
Minimal-Time Mean Field Games
(Submitted Paper) 2018
S. Dweik, F. Santambrogio:
$L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D
(Submitted Paper) 2018
Q. R. Li, F. Santambrogio, X. J. Wang:
Continuity for the Monge mass transfer problem in two dimensions
Arch. Rati. Mech. An. (Accepted Paper) 2018
F. Santambrogio:
A short story on optimal transport and its many applications
Snapshots of modern mathematics from Oberwolfach 2018