A. Fathi
Applied Mathematics · with Siconolfi · 2001–2011
A researcher in the Science corpus: 7 papers; trusts 9 researchers and is trusted by 18 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 16 citations into it; #1,802 of 7,620 by trust here, #2,098 by citations
- Geometry and Topology — 14 citations into it; #1,594 of 7,422 by trust here, #1,410 by citations
- Statistical and Nonlinear Physics — 8 citations into it; #1,597 of 10,127 by trust here, #2,928 by citations
Whom A. Fathi trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Robert J. McCann
- P. Bernard
- Jean-Michel Roquejoffre
- Antonio Siconolfi
- Luigi Ambrosio
- Cédric Villani
- Boris Buffoni
- Misha Gromov
- J. Grant
- Oliver Knill
Who trusts A. Fathi overall
- A. Sorrentino
- Antonio Siconolfi
- P. Bernard
- Hitoshi Ishii
- Hiroyoshi Mitake
- Ludovic Rifford
- Shin-ichi Ohta
- J. Bec
- Alessio Figalli
- Andrea Davini
Papers from A. Fathi's perspective
Ordered by how strongly the researchers A. Fathi trusts endorse each paper. Same corpus, a different order for every researcher.
- Mass transportation problems
- Existence and stability results in the L 1 theory of optimal transportation
- Metric Structures for Riemannian and Non-Riemannian Spaces
- Existence of C1 critical subsolutions of the Hamilton-Jacobi equation
- Lecture Notes on Optimal Transport Problems
- Polar factorization of maps on Riemannian manifolds
- Monge's transport problem on a Riemannian manifold
- Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs
- Optimal Transport: Old and New
- Optimal mass transportation and Mather theory
Their papers
- On smooth time functions (2011) — 101 citations
- On the Hausdorff dimension of the mather quotient (2007) — 54 citations
- Optimal transportation on non-compact manifolds (2007) — 119 citations
- Weak kam theorem on non compact manifolds (2007) — 128 citations
- PDE aspects of Aubry-Mather theory for quasiconvex Hamiltonians (2005) — 161 citations
- Existence of C1 critical subsolutions of the Hamilton-Jacobi equation (2004) — 190 citations
- Weak KAM Theorem in Lagrangian Dynamics (2001) — 512 citations