68 citations · 321 across the 52 of their papers we have counts for
23 papers · 1 filter
Strong convergence of the JKO scheme for the Fokker-Planck equation
Filippo Santambrogio, Gayrat Toshpulatov
Following a celebrated paper by Jordan, Kinderleherer and Otto it is possible to discretize in time the Fokker-Planck equation b…
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds
Quentin Merigot, Filippo Santambrogio, Clément Sarrazin
Several issues in machine learning and inverse problems require to generate discrete data, as if sampled from a model probability distribution. A common way to do so relies on the…
bounds for boundary-to-boundary transport densities, and bounds for the BV least gradient problem in 2D
Filippo Santambrogio, Samer Dweik
The least gradient problem (minimizing the total variation with given boundary data) is equivalent, in the plane, to the Beckmann minimal-flow problem with source and target measur…
Minimal-time mean field games
Guilherme Mazanti, Filippo Santambrogio
This paper considers a mean field game model inspired by crowd motion where agents want to leave a given bounded domain through a part of its boundary in minimal time. Each agent i…
Spatial rational expectations equilibria in the Ramsey model of optimal growth
Filippo Santambrogio, A Xepapadeas, A Yannacopoulos
It is the aim of this work provide a rigorous treatment concerning the formation of spatial rational expectations equlibria in a general class of spatial economic models under the…
A fractal shape optimization problem in branched transport
Paul Pegon, Filippo Santambrogio, Qinglan Xia
We investigate the following question: what is the set of unit volume which can be best irrigated starting from a single source at the origin, in the sense of branched transport? W…
Sweeping processes with prescribed behaviour on jumps
Vincenzo Recupero, Filippo Santambrogio
We present a generalized formulation of sweeping process where the behaviour of the solution is prescribed at the jump points of the driving moving set. An existence and uniqueness…
First order Mean Field Games with density constraints: Pressure equals Price
Pierre Cardaliaguet, Alpár Richárd Mészáros, Filippo Santambrogio
In this paper we study Mean Field Game systems under density constraints as optimality conditions of two optimization problems in duality. A weak solution of the system contains an…
BV Estimates in Optimal Transportation and Applications
Guido De Philippis, Alpár Mészáros, Filippo Santambrogio +1
In this paper we study the BV regularity for solutions of variational problems in Optimal Transportation. As an application we recover BV estimates for solutions of some non-linear…
The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile
Luigi De Pascale, Jean Louet, Filippo Santambrogio
We investigate the approximation of the Monge problem (minimizing \int\_ |T (x) -- x| d(x) among the vector-valued maps T with prescribed image measure T \# ) by adding a…
A Mass Transportation Model for the Optimal Planning of an Urban Region
Giuseppe Buttazzo, Filippo Santambrogio
We propose a model to describe the optimal distributions of residents and services in a prescribed urban area. The cost functional takes into account the transportation costs (acco…
Asymptotic optimal location of facilities in a competition between population and industries
Giuseppe Buttazzo, Filippo Santambrogio, Eugene Stepanov
We consider the problem of optimally locating a given number of points in for an integral cost function which takes into account two measures and . T…
Full characterization of optimal transport plans for concave costs
Paul Pegon, Davide Piazzoli, Filippo Santambrogio
This paper slightly improves a classical result by Gangbo and McCann (1996) about the structure of optimal transport plans for costs that are concave functions of the Euclidean dis…
A Dacorogna-Moser approach to flow decomposition and minimal flow problems
Filippo Santambrogio
The papers describes an easy approach, based on a classical construction by Dacorogna and Moser, to prove that optimal vector fields in some minimal flow problem linked to optimal…
Optimal transportation with an oscillation-type cost: the one-dimensional case
Didier Lesesvre, Paul Pegon, Filippo Santambrogio
The main result of this paper is the existence of an optimal transport map between two given measures and , for a cost which considers the maximal oscillation of at…
Optimal transportation for a quadratic cost with convex constraints and applications
Chloé Jimenez, Filippo Santambrogio
We prove existence of an optimal transport map in the Monge-Kantorovich problem associated to a cost which is not finite everywhere, but coincides with if the di…
On the strategic use of risk and undesirable goods in multidimensional screening
Aimé Lachapelle, Filippo Santambrogio
A monopolist sells goods with possibly a characteristic consumers dislike (for instance, he sells random goods to risk averse agents), which does not affect the production costs. W…
A Benamou-Brenier approach to branched transport
Lorenzo Brasco, Giuseppe Buttazzo, Filippo Santambrogio
The problem of branched transportation aims to describe the movement of masses when, due to concavity effects, they have the interest to travel together as much as possible, becaus…
A Modica-Mortola approximation for branched transport
Filippo Santambrogio
The M^αenergy which is usually minimized in branched transport problems among singular 1-dimensional rectifiable vector measures with prescribed divergence is approximated (and con…
From Knothe's transport to Brenier's map and a continuation method for optimal transport
Guillaume Carlier, Alfred Galichon, Filippo Santambrogio
A simple procedure to map two probability measures in is the so-called \emph{Knothe-Rosenblatt rearrangement}, which consists in rearranging monotonically the margin…
Optimal transportation with traffic congestion and Wardrop equilibria
G. Carlier, C. Jimenez, F. Santambrogio
In the classical Monge-Kantorovich problem, the transportation cost only depends on the amount of mass sent from sources to destinations and not on the paths followed by this mass.…
Long-term planning versus short-term planning in the asymptotical location problem
A. Brancolini, G. Buttazzo, F. Santambrogio +1
Given the probability measure over the given region , we consider the optimal location of a set composed by points $\Om$ in order to minimize the average…
Transport and Concentration Problems with Interaction Effects
Filippo Santambrogio
After presenting an overview about variational problems on probability measures for functionals involving transport costs and extra terms encouraging or discouraging concentration,…