Thierry Coulhon

4.3k total citations · 1 hit paper
50 papers, 2.4k citations indexed

About

Thierry Coulhon is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Thierry Coulhon has authored 50 papers receiving a total of 2.4k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Applied Mathematics, 27 papers in Mathematical Physics and 12 papers in Geometry and Topology. Recurrent topics in Thierry Coulhon's work include Geometric Analysis and Curvature Flows (25 papers), Nonlinear Partial Differential Equations (18 papers) and Advanced Harmonic Analysis Research (17 papers). Thierry Coulhon is often cited by papers focused on Geometric Analysis and Curvature Flows (25 papers), Nonlinear Partial Differential Equations (18 papers) and Advanced Harmonic Analysis Research (17 papers). Thierry Coulhon collaborates with scholars based in France, Australia and United States. Thierry Coulhon's co-authors include Laurent Saloff‐Coste, N. Th. Varopoulos, Xuan Thinh Duong, Laurent Saloff‐Coste, Alexander Grigorʼyan, Adam Sikora, Pascal Auscher, Michel Ledoux, Dominique Bakry and Gilles Carron and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Transactions of the American Mathematical Society and Inventiones mathematicae.

In The Last Decade

Thierry Coulhon

50 papers receiving 2.2k citations

Hit Papers

Analysis and Geometry on Groups 1993 2026 2004 2015 1993 100 200 300 400 500
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Analysis and Geometry on Groups
    1993 587 citations Thierry Coulhon et al. profile →

Peers

Thierry Coulhon
N. Th. Varopoulos France
Masayoshi Takeda Japan
Fëdor Nazarov United States
Sun‐Yung A. Chang United States
Karl‐Theodor Sturm Germany
Ivan Gentil France
Alexander Volberg United States
Aref Jeribi Tunisia
John F. R. Duncan United States
Albert Fathi France
N. Th. Varopoulos France
Thierry Coulhon
Citations per year, relative to Thierry Coulhon Thierry Coulhon (= 1×) peers N. Th. Varopoulos

Countries citing papers authored by Thierry Coulhon

Since Specialization
Citations

This map shows the geographic impact of Thierry Coulhon's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Thierry Coulhon with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Thierry Coulhon more than expected).

Fields of papers citing papers by Thierry Coulhon

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Thierry Coulhon. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Thierry Coulhon. The network helps show where Thierry Coulhon may publish in the future.

Co-authorship network of co-authors of Thierry Coulhon

This figure shows the co-authorship network connecting the top 25 collaborators of Thierry Coulhon. A scholar is included among the top collaborators of Thierry Coulhon based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Thierry Coulhon. Thierry Coulhon is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Coulhon, Thierry & Frédérique Sachwald. (2021). La position scientifique de la France dans le monde et en Europe. N° 509(8). 18–22. 3 indexed citations
2.
Bernicot, Frédéric, et al.. (2016). Gaussian heat kernel bounds through elliptic Moser iteration. Journal de Mathématiques Pures et Appliquées. 106(6). 995–1037. 9 indexed citations
3.
Coulhon, Thierry, et al.. (2016). Riesz Transform for $$1\le p \le 2$$ 1 ≤ p ≤ 2 Without Gaussian Heat Kernel Bound. Journal of Geometric Analysis. 27(2). 1489–1514. 17 indexed citations
4.
Coulhon, Thierry & Adam Sikora. (2010). Riesz meets Sobolev. Colloquium Mathematicum. 118(2). 685–704. 9 indexed citations
5.
Auscher, Pascal & Thierry Coulhon. (2009). Riesz transform on manifolds and Poincaré inequalities. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. 531–555. 4 indexed citations
6.
7.
Coulhon, Thierry, Xuan Thinh Duong, & Xiangdong Li. (2003). Littlewood–Paley–Stein functions on complete Riemannian manifolds for 1≤p≤2. Studia Mathematica. 154(1). 37–57. 29 indexed citations
8.
Coulhon, Thierry. (2003). OFF-DIAGONAL HEAT KERNEL LOWER BOUNDS WITHOUT POINCARÉ. Journal of the London Mathematical Society. 68(3). 795–816. 18 indexed citations
9.
Coulhon, Thierry, et al.. (2001). A geometric approach to on-diagonal heat kernel lower bounds on groups. Annales de l’institut Fourier. 51(6). 1763–1827. 41 indexed citations
10.
Barlow, Martin T., et al.. (2001). Manifolds and graphs with slow heat kernel decay. Inventiones mathematicae. 144(3). 609–649. 63 indexed citations
11.
Carey, Alan L., Thierry Coulhon, Varghese Mathai, & John Phillips. (1998). Von Neumann spectra near the spectral gap. Bulletin des Sciences Mathématiques. 122(3). 203–242. 2 indexed citations
12.
Coulhon, Thierry & Alexander Grigorʼyan. (1998). Random Walks on Graphs with Regular Volume Growth. Geometric and Functional Analysis. 8(4). 656–701. 67 indexed citations
13.
Coulhon, Thierry. (1997). Heat kernels on non-compact riemannian manifolds : a partial survey. 15. 167–187. 6 indexed citations
14.
Coulhon, Thierry & Alexander Grigorʼyan. (1997). On-diagonal lower bounds for heat kernels and Markov chains. Duke Mathematical Journal. 89(1). 43 indexed citations
15.
Coulhon, Thierry. (1996). Ultracontractivity and Nash Type Inequalities. Journal of Functional Analysis. 141(2). 510–539. 93 indexed citations
16.
Coulhon, Thierry. (1996). Espaces de Lipschitz et inégalités de Poincaré. Journal of Functional Analysis. 136(1). 81–113. 19 indexed citations
17.
Coulhon, Thierry, et al.. (1996). About Riesz transforms on the Heisenberg groups. Mathematische Annalen. 305(1). 369–379. 39 indexed citations
18.
Auscher, Pascal, Thierry Coulhon, & Philippe Tchamitchian. (1996). Absence de principe du maximum pour certaines équations paraboliques complexes. Colloquium Mathematicum. 71(1). 87–95. 24 indexed citations
19.
Coulhon, Thierry. (1992). Noyau de la chaleur et discretisation d’une variete riemannienne. Israel Journal of Mathematics. 80(3). 289–300. 18 indexed citations
20.
Coulhon, Thierry & Laurent Saloff‐Coste. (1990). Puissances d'un opérateur régularisant. French digital mathematics library (Numdam). 26(3). 419–436. 32 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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