T. Coulhon

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 16 papers; trusts 37 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 97 citations into it; #463 of 7,620 by trust here, #311 by citations
• Mathematical Physics — 53 citations into it; #598 of 8,562 by trust here, #375 by citations
• Geometry and Topology — 24 citations into it; #3,221 of 7,422 by trust here, #3,077 by citations
• Astronomy and Astrophysics — 12 citations into it
• Computational Theory and Mathematics — 12 citations into it; #3,209 of 12,182 by trust here, #2,761 by citations
• Cultural Studies — 5 citations into it
• History — 5 citations into it
• Political Science and International Relations — 5 citations into it

Whom T. Coulhon trusts overall

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

1. Pencho Petrushev
2. P. Auscher
3. C. Pittet
4. Xuan Thinh Duong
5. Nageswari Shanmugalingam
6. Adam S. Sikora
7. Sönke Blunck
8. Renjin Jiang
9. S. Hofmann
10. Yuan Xu

Who trusts T. Coulhon overall

1. P. Auscher
2. Ravi Montenegro
3. Frédéric Bernicot
4. Martin T. Barlow
5. Sönke Blunck
6. Xuan Thinh Duong
7. M. Folz
8. S. Hofmann
9. C. Pittet
10. Renjin Jiang

Papers from T. Coulhon's perspective

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

1. Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
2. Riesz transform on manifols and Poincaré inequalities
3. On the geometry of metric measure spaces. II
4. A geometric approach to on-diagonal heat kernel lower bounds on groups
5. Aspects of Sobolev-type inequalities
6. Plancherel Type Estimates and Sharp Spectral Multipliers
7. Nonlinear potential theory on metric spaces
8. Ricci curvature for metric-measure spaces via optimal transport
9. Functions of bounded variation on “good” metric spaces
10. Analysis on local Dirichlet spaces

Their papers

• Manifolds and graphs with slow heat kernel decay (2001) — 153 citations
• Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss (2000) — 126 citations
• Gradient estimates for heat kernels and harmonic functions (2017) — 63 citations
• A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces (2013) — 47 citations
• Heat Kernel Generated Frames in the Setting of Dirichlet Spaces (2012) — 112 citations
• Gaussian heat kernel upper bounds via the Phragmén–Lindelöf theorem (2006) — 215 citations
• Riesz transform on manifolds and Poincaré inequalitie (2005) — 51 citations
• The discrete integral maximum principle and its applications (2005) — 58 citations
• Riesz transform on manifols and Poincaré inequalities (2005) — 98 citations
• Riesz transform on manifolds and heat kernel regularity (2004) — 317 citations
• Littlewood-Paley-Stein functions on complete Riemannian manifolds for 1 ≤ p ≤ 2 (2003) — 57 citations
• Riesz transform and related inequalities on non‐compact Riemannian manifolds (2003) — 138 citations
• Gaussian estimates and Lp-boundedness of Riesz means (2002) — 61 citations
• A geometric approach to on-diagonal heat kernel lower bounds on groups (2001) — 79 citations
• Sobolev algebras on Lie groups and Riemannian manifolds (2001) — 87 citations
• Harnack inequality and hyperbolicity for subelliptic p-Laplacians with applications to Picard type theorems (2001) — 85 citations