Thierry Champion

Applied Mathematics · 2007–2018

A researcher in the Science corpus: 5 papers; trusts 15 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 30 citations into it; #5,123 of 7,620 by trust here, #2,377 by citations
• Computational Theory and Mathematics — 12 citations into it
• Geometry and Topology — 11 citations into it; #5,691 of 7,422 by trust here, #3,547 by citations
• Finance — 5 citations into it

Whom Thierry Champion trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Luigi Ambrosio
2. M. Crandall
3. A. Pratelli
4. Cédric Villani
5. G. Aronsson
6. L. De Pascale
7. Petri Juutinen
8. Mathias Beiglbock
9. Lawrence C. Evans
10. Giuseppe M. Buttazzo

Who trusts Thierry Champion overall

1. Yuval Peres
2. Scott Sheffield
3. Filippo Santambrogio
4. Ludovic Rifford
5. Oded Schramm
6. Fabio Cavalletti
7. Stefano Bianchini
8. Luigi Ambrosio

Papers from Thierry Champion's perspective

Ordered by how strongly the researchers Thierry Champion trusts endorse each paper. Same corpus, a different order for every researcher.

1. Topics in Optimal Transportation
2. Mass transportation problems
3. Existence of optimal transport maps for crystalline norms
4. Existence and stability results in the L 1 theory of optimal transportation
5. Optimal Lipschitz extensions and the infinity laplacian
6. An Efficient Derivation of the Aronsson Equation
7. The Euler Equation and¶Absolute Minimizers of L∞ Functionals
8. Regularity properties for Monge transport density and for solutions of some shape optimization problem
9. Integral Estimates for Transport Densities
10. Characterization of optimal shapes and masses through Monge-Kantorovich equation

Their papers

• A new class of costs for optimal transport planning (2018) — 50 citations
• The Monge problem in ${\mathbb R}^d$ (2011) — 62 citations
• The Monge problem for strictly convex norms in Rd (2010) — 56 citations
• Principles of comparison with distance functions for absolute minimizers (2007) — 57 citations
• Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators (2007) — 47 citations