Marc Arnaudon

Applied Mathematics · 2006–2011

A researcher in the Science corpus: 3 papers; trusts 6 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 9 citations into it; #3,595 of 7,620 by trust here, #4,033 by citations
• Geometry and Topology — 6 citations into it
• Computational Theory and Mathematics — 5 citations into it

Whom Marc Arnaudon trusts overall

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

1. Feng-Yu Wang
2. Shun-ichi Amari
3. Fuzhou Gong
4. Rabi N. Bhattacharya
5. S. Aida
6. Andrzej S. Cichocki
7. Vic Patrangenaru
8. Hermann Karcher
9. Bijan Afsari
10. S. Buss

Who trusts Marc Arnaudon overall

1. Feng-Yu Wang
2. Wei Liu
3. Michael Röckner
4. Wei David Liu
5. Xiaodong Cao
6. Patrick Cattiaux

Papers from Marc Arnaudon's perspective

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

1. Short Time Asymptotics of a Certain Infinite Dimensional Diffusion Process
2. Hypercontractivity of Hamilton-Jacobi equations
3. LOGARITHMIC SOBOLEV INEQUALITIES: CONDITIONS AND COUNTEREXAMPLES
4. Riemannian center of mass and mollifier smoothing
5. Heat kernel estimates with application to compactness of manifolds
6. On the Small Time Asymptotics of Diffusion Processes on Path Groups
7. Information geometry of divergence functions
8. An Introduction to the Analysis of Paths on a Riemannian Manifold
9. Functional Inequalities and Spectrum Estimates: The Infinite Measure Case
10. Equivalence of Dimension-Free Harnack Inequality and Curvature Condition

Their papers

• Medians and Means in Riemannian Geometry: Existence, Uniqueness and Computation (2011) — 76 citations
• Brownian motion with respect to a metric depending on time; definition, existence and applications to Ricci flow (2008) — 64 citations
• Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below (2006) — 128 citations