Anton Thalmaier

1.5k total citations
51 papers, 731 citations indexed

About

Anton Thalmaier is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Anton Thalmaier has authored 51 papers receiving a total of 731 indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Applied Mathematics, 20 papers in Mathematical Physics and 16 papers in Geometry and Topology. Recurrent topics in Anton Thalmaier's work include Geometric Analysis and Curvature Flows (39 papers), Nonlinear Partial Differential Equations (25 papers) and Geometry and complex manifolds (14 papers). Anton Thalmaier is often cited by papers focused on Geometric Analysis and Curvature Flows (39 papers), Nonlinear Partial Differential Equations (25 papers) and Geometry and complex manifolds (14 papers). Anton Thalmaier collaborates with scholars based in Luxembourg, France and China. Anton Thalmaier's co-authors include Marc Arnaudon, Feng‐Yu Wang, Paul Malliavin, Bruce K. Driver, Hélène Airault, Dejun Luo, Shizan Fang, James Thompson, Ana Bela Cruzeiro and Robert O. Bauer and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Journal of Functional Analysis and Pacific Journal of Mathematics.

In The Last Decade

Anton Thalmaier

49 papers receiving 696 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Anton Thalmaier Luxembourg 14 501 278 218 208 113 51 731
Fabrice Baudoin United States 18 474 0.9× 299 1.1× 331 1.5× 233 1.1× 135 1.2× 85 886
Shizan Fang France 14 367 0.7× 257 0.9× 205 0.9× 84 0.4× 137 1.2× 45 551
Ewa Damek Poland 13 415 0.8× 102 0.4× 395 1.8× 171 0.8× 81 0.7× 49 680
Denis Feyel France 14 335 0.7× 211 0.8× 226 1.0× 120 0.6× 94 0.8× 38 536
Ichirō Shigekawa Japan 14 370 0.7× 213 0.8× 412 1.9× 101 0.5× 159 1.4× 35 682
Michel Émery France 10 162 0.3× 181 0.7× 179 0.8× 65 0.3× 52 0.5× 28 472
Shigeo Kusuoka Japan 19 321 0.6× 360 1.3× 640 2.9× 99 0.5× 258 2.3× 54 1.1k
Shigeki Aida Japan 12 301 0.6× 120 0.4× 246 1.1× 77 0.4× 119 1.1× 29 472
Andrzej Święch United States 16 529 1.1× 327 1.2× 208 1.0× 49 0.2× 347 3.1× 60 856
Lorenzo Zambotti France 12 118 0.2× 238 0.9× 258 1.2× 54 0.3× 130 1.2× 42 494

Countries citing papers authored by Anton Thalmaier

Since Specialization
Citations

This map shows the geographic impact of Anton Thalmaier'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 Anton Thalmaier with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anton Thalmaier more than expected).

Fields of papers citing papers by Anton Thalmaier

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anton Thalmaier. 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 Anton Thalmaier. The network helps show where Anton Thalmaier may publish in the future.

Co-authorship network of co-authors of Anton Thalmaier

This figure shows the co-authorship network connecting the top 25 collaborators of Anton Thalmaier. A scholar is included among the top collaborators of Anton Thalmaier 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 Anton Thalmaier. Anton Thalmaier 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.
Cheng, Lijuan, Anton Thalmaier, & Feng‐Yu Wang. (2023). Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance. Journal of Functional Analysis. 285(5). 109997–109997.
2.
Thompson, James & Anton Thalmaier. (2020). Exponential integrability and exit times of diffusions on sub-Riemannian and metric measure spaces. Open Repository and Bibliography (University of Luxembourg). 1 indexed citations
3.
Thalmaier, Anton & James Thompson. (2019). Derivative and divergence formulae for diffusion semigroups. The Annals of Probability. 47(2). 1 indexed citations
4.
Arnaudon, Marc, Anton Thalmaier, & Feng‐Yu Wang. (2018). Gradient Estimates on Dirichlet and Neumann Eigenfunctions. International Mathematics Research Notices. 2020(20). 7279–7305. 4 indexed citations
5.
Thalmaier, Anton, et al.. (2018). Quantitative C1-estimates by Bismut formulae. Journal of Mathematical Analysis and Applications. 465(2). 803–813. 5 indexed citations
6.
Thalmaier, Anton, et al.. (2015). Heat equation in vector bundles with time-dependent metric. Journal of the Mathematical Society of Japan. 67(4). 1 indexed citations
7.
Thalmaier, Anton, et al.. (2015). Curvature-dimension inequalities on sub-Riemannian manifolds obtained from Riemannian foliations: part I. Mathematische Zeitschrift. 282(1-2). 99–130. 12 indexed citations
8.
Arnaudon, Marc, Anton Thalmaier, & Feng‐Yu Wang. (2013). Equivalent Harnack and gradient inequalities for pointwise curvature lower bound. Bulletin des Sciences Mathématiques. 138(5). 643–655. 13 indexed citations
9.
Thalmaier, Anton & Feng‐Yu Wang. (2011). A stochastic approach to a priori estimates and Liouville theorems for harmonic maps. Bulletin des Sciences Mathématiques. 135(6-7). 816–843. 7 indexed citations
10.
Fang, Shizan, Dejun Luo, & Anton Thalmaier. (2010). Stochastic differential equations with coefficients in Sobolev spaces. Journal of Functional Analysis. 259(5). 1129–1168. 19 indexed citations
11.
Arnaudon, Marc, Anton Thalmaier, & Feng‐Yu Wang. (2009). Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. Stochastic Processes and their Applications. 119(10). 3653–3670. 64 indexed citations
12.
Arnaudon, Marc, Bruce K. Driver, & Anton Thalmaier. (2006). Gradient estimates for positive harmonic functions by stochastic analysis. Stochastic Processes and their Applications. 117(2). 202–220. 12 indexed citations
13.
Arnaudon, Marc, Anton Thalmaier, & Feng‐Yu Wang. (2005). Harnack inequality and heat kernel estimates on manifolds with curvature unbounded below. Bulletin des Sciences Mathématiques. 130(3). 223–233. 76 indexed citations
14.
Airault, Hélène, Paul Malliavin, & Anton Thalmaier. (2004). Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows. Journal de Mathématiques Pures et Appliquées. 83(8). 955–1018. 18 indexed citations
15.
Cruzeiro, Ana Bela, Paul Malliavin, & Anton Thalmaier. (2004). Geometrization of Monte-Carlo numerical analysis of an elliptic operator: strong approximation. Comptes Rendus Mathématique. 338(6). 481–486. 13 indexed citations
16.
Barucci, Emilio, Paul Malliavin, Maria Elvira Mancino, Roberto Renò, & Anton Thalmaier. (2003). The Price-Volatility Feedback Rate: An Implementable Mathematical Indicator of Market Stability. SSRN Electronic Journal. 2 indexed citations
17.
Arnaudon, Marc, et al.. (2003). A Bismut type formula for the Hessian of heat semigroups. Comptes Rendus Mathématique. 336(8). 661–666. 10 indexed citations
18.
Malliavin, Paul & Anton Thalmaier. (2003). Numerical error for SDE: Asymptotic expansion and hyperdistributions. Comptes Rendus Mathématique. 336(10). 851–856. 9 indexed citations
19.
Driver, Bruce K. & Anton Thalmaier. (2001). Heat Equation Derivative Formulas for Vector Bundles. Journal of Functional Analysis. 183(1). 42–108. 32 indexed citations
20.
Thalmaier, Anton & Feng‐Yu Wang. (1998). Gradient Estimates for Harmonic Functions on Regular Domains in Riemannian Manifolds. Journal of Functional Analysis. 155(1). 109–124. 55 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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