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Publications Influence

Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling

- F. Santambrogio
- Mathematics
- 18 October 2015

Preface.- Primal and Dual Problems.- One-Dimensional Issues.- L^1 and L^infinity Theory.- Minimal Flows.- Wasserstein Spaces.- Numerical Methods.- Functionals over Probabilities.- Gradient Flows.-… Expand

457 29- PDF

A MACROSCOPIC CROWD MOTION MODEL OF GRADIENT FLOW TYPE

- B. Maury, Aude Roudneff-Chupin, F. Santambrogio
- Mathematics
- 3 February 2010

A simple model to handle the flow of people in emergency evacuation situations is considered: at every point x, the velocity U(x) that individuals at x would like to realize is given. Yet, the… Expand

182 10- PDF

Optimal Transportation with Traffic Congestion and Wardrop Equilibria

- G. Carlier, C. Jimenez, F. Santambrogio
- Mathematics, Computer Science
- SIAM J. Control. Optim.
- 22 December 2006

TLDR

80 8- PDF

Absolute continuity and summability of transport densities: simpler proofs and new estimates

- F. Santambrogio
- Mathematics
- 18 March 2009

The paper presents some short proofs for transport density absolute continuity and Lp estimates. Most of the previously existing results which were proven by geometric arguments are re-proved through… Expand

51 8- PDF

Variational Mean Field Games

- J. Benamou, G. Carlier, F. Santambrogio
- Mathematics
- 2017

This paper is a brief presentation of those mean field games with congestion penalization which have a variational structure, starting from the deterministic dynamical framework. The stochastic… Expand

56 7- PDF

From Knothe's Transport to Brenier's Map and a Continuation Method for Optimal Transport

- G. Carlier, A. Galichon, F. Santambrogio
- Mathematics, Computer Science
- SIAM J. Math. Anal.
- 22 October 2008

TLDR

63 6- PDF

Handling congestion in crowd motion modeling

- B. Maury, Aude Roudneff-Chupin, F. Santambrogio, Juliette Venel
- Mathematics, Computer Science
- Networks Heterog. Media
- 21 January 2011

TLDR

84 6- PDF

Dealing with moment measures via entropy and optimal transport

- F. Santambrogio
- Mathematics
- 15 July 2015

A recent paper by Cordero-Erausquin and Klartag provides a characterization of the measures $\mu$ on $\R^d$ which can be expressed as the moment measures of suitable convex functions $u$, i.e. are of… Expand

19 6- PDF

Asymptotical compliance optimization for connected networks

- G. Buttazzo, F. Santambrogio
- Mathematics, Computer Science
- Networks Heterog. Media
- 1 September 2007

TLDR

23 5- PDF