Matthias Erbar

Applied Mathematics · 2011–2013

A researcher in the Science corpus: 4 papers; trusts 31 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 72 citations into it; #831 of 7,620 by trust here, #651 by citations
• Geometry and Topology — 38 citations into it; #1,246 of 7,422 by trust here, #763 by citations
• Astronomy and Astrophysics — 28 citations into it; #3,101 of 10,964 by trust here, #6,075 by citations
• Computational Theory and Mathematics — 8 citations into it
• Mathematical Physics — 5 citations into it

Whom Matthias Erbar trusts overall

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

1. Felix Otto
2. Karl‐Theodor Sturm
3. Jan Maas
4. Nicola Gigli
5. Cédric Villani
6. Luigi Ambrosio
7. J. Lott
8. Alexander Mielke
9. Shin-ichi Ohta
10. Robert J. McCann

Who trusts Matthias Erbar overall

1. Nicola Gigli
2. Luigi Ambrosio
3. Renjin Jiang
4. Andrea Mondino
5. Elia Brué
6. Fabio Cavalletti
7. Guido De Philippis
8. Nathael Gozlan
9. Fernando Galaz-Garc'ia
10. Shouhei Honda

Papers from Matthias Erbar's perspective

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

1. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
2. A Convexity Principle for Interacting Gases
3. THE VARIATIONAL FORMULATION OF THE FOKKER-PLANCK EQUATION
4. On the geometry of metric measure spaces. II
5. Topics in Optimal Transportation
6. THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
7. Ricci curvature for metric-measure spaces via optimal transport
8. Gradient Flows: In Metric Spaces and in the Space of Probability Measures
9. Ricci curvature of Markov chains on metric spaces
10. Finsler interpolation inequalities

Their papers

• On the equivalence of the entropic curvature-dimension condition and Bochner’s inequality on metric measure spaces (2013) — 473 citations
• Gradient flow structures for discrete porous medium equations (2012) — 85 citations
• Gradient flows of the entropy for jump processes (2012) — 67 citations
• Ricci Curvature of Finite Markov Chains via Convexity of the Entropy (2011) — 243 citations