Michael R. Herman

2.0k total citations
18 papers, 1.1k citations indexed

About

Michael R. Herman is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Michael R. Herman has authored 18 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Geometry and Topology, 10 papers in Mathematical Physics and 6 papers in Statistical and Nonlinear Physics. Recurrent topics in Michael R. Herman's work include Mathematical Dynamics and Fractals (7 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Quantum chaos and dynamical systems (6 papers). Michael R. Herman is often cited by papers focused on Mathematical Dynamics and Fractals (7 papers), Advanced Differential Equations and Dynamical Systems (7 papers) and Quantum chaos and dynamical systems (6 papers). Michael R. Herman collaborates with scholars based in France, United States and United Kingdom. Michael R. Herman's co-authors include Albert Fathi, Jean-Christophe Yoccoz and Lennart Carleson and has published in prestigious journals such as Communications in Mathematical Physics, Publications mathématiques de l IHÉS and Journal of the London Mathematical Society.

In The Last Decade

Michael R. Herman

17 papers receiving 970 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Michael R. Herman France 12 884 675 526 160 107 18 1.1k
D. V. Anosov Russia 13 644 0.7× 391 0.6× 436 0.8× 219 1.4× 98 0.9× 42 944
Artur Avila France 19 1.0k 1.1× 682 1.0× 317 0.6× 184 1.1× 208 1.9× 60 1.2k
Steven Zelditch United States 12 485 0.5× 381 0.6× 199 0.4× 143 0.9× 40 0.4× 29 707
Arthur Wasserman United States 18 365 0.4× 199 0.3× 305 0.6× 428 2.7× 287 2.7× 47 1.1k
Pierre Moussa France 15 385 0.4× 310 0.5× 120 0.2× 113 0.7× 112 1.0× 37 740
V. F. Lazutkin Russia 11 307 0.3× 537 0.8× 183 0.3× 32 0.2× 35 0.3× 29 630
Maciej P. Wojtkowski United States 14 399 0.5× 481 0.7× 167 0.3× 71 0.4× 25 0.2× 32 637
B. L. J. Braaksma Netherlands 12 150 0.2× 271 0.4× 168 0.3× 246 1.5× 120 1.1× 31 698
Rinat Kashaev Russia 18 463 0.5× 491 0.7× 977 1.9× 57 0.4× 68 0.6× 52 1.2k
Curt McMullen United States 10 701 0.8× 151 0.2× 471 0.9× 238 1.5× 127 1.2× 12 864

Countries citing papers authored by Michael R. Herman

Since Specialization
Citations

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

Fields of papers citing papers by Michael R. Herman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael R. Herman. 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 Michael R. Herman. The network helps show where Michael R. Herman may publish in the future.

Co-authorship network of co-authors of Michael R. Herman

This figure shows the co-authorship network connecting the top 25 collaborators of Michael R. Herman. A scholar is included among the top collaborators of Michael R. Herman 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 Michael R. Herman. Michael R. Herman is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

18 of 18 papers shown
1.
Herman, Michael R.. (2011). The Stay Dilemma: Examining Brand and Generic Incentives for Delaying the Resolution of Pharmaceutical Patent Litigation. SSRN Electronic Journal. 1 indexed citations
2.
Herman, Michael R., Albert Fathi, & Jean-Christophe Yoccoz. (2006). Dynamical systems : Michael Herman Memorial volume. Cambridge University Press eBooks. 2 indexed citations
3.
Herman, Michael R., et al.. (2004). Sur le theoreme de Bertrand. 1 indexed citations
4.
Herman, Michael R.. (2004). L2 regularity of measurable solutions of a finite-difference equation of the circle. Ergodic Theory and Dynamical Systems. 24(5). 1277–1281. 2 indexed citations
5.
Herman, Michael R.. (1991). Exemples de flots hamiltoniens dont aucune perturbation en topologie C∞ n'a d'orbites périodiques sur un ouvert de surfaces d'énergies. 312(13). 989–994. 21 indexed citations
6.
Herman, Michael R.. (1989). Inégalités a priori pour des tores lagrangiens invariants par des difféomorphismes symplectiques. Publications mathématiques de l IHÉS. 70. 47–101. 46 indexed citations
7.
Herman, Michael R.. (1988). Existence et non existence de tores invariants par des difféomorphismes symplectiques. French digital mathematics library (Numdam). 1–24. 16 indexed citations
8.
Herman, Michael R.. (1986). Sur les courbes invariantes par les difféomorphismes de l'anneau. II. Astérisque. 144. 126 indexed citations
9.
Herman, Michael R.. (1986). Construction of Some Curious Diffeomorphisms of the Riemann Sphere. Journal of the London Mathematical Society. s2-34(2). 375–384. 33 indexed citations
10.
Herman, Michael R.. (1985). Simple proofs of local conjugacy theorems for diffeomorphisms of the circle with almost every rotation number. Bulletin of the Brazilian Mathematical Society New Series. 16(1). 45–83. 15 indexed citations
11.
Herman, Michael R.. (1985). Are there critical points on the boundaries of singular domains?. Communications in Mathematical Physics. 99(4). 593–612. 64 indexed citations
12.
Herman, Michael R.. (1984). Exemples de fractions rationnelles ayant une orbite dense sur la sphère de Riemann. Bulletin de la Société mathématique de France. 79. 93–142. 34 indexed citations
13.
14.
Herman, Michael R.. (1981). Construction d'un difféomorphisme minimal d'entropie topologique non nulle. Ergodic Theory and Dynamical Systems. 1(1). 65–76. 36 indexed citations
15.
Herman, Michael R. & Lennart Carleson. (1979). Sur la conjugaison différentiable des difféomorphismes du cercle a des rotations (p. 5 à 234) . A remark on Denjoy's inequality and Herman's theorem (p. 235 à 242). Medical Entomology and Zoology. 2 indexed citations
16.
Herman, Michael R.. (1979). Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. Publications mathématiques de l IHÉS. 49. 5–233. 482 indexed citations
17.
Herman, Michael R.. (1975). Sur le groupe des diffeomorphismes R-analytiques de R. Indagationes Mathematicae (Proceedings). 78(4). 351–355. 1 indexed citations
18.
Herman, Michael R.. (1973). Sur le groupe des difféomorphismes du tore. Annales de l’institut Fourier. 23(2). 75–86. 20 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by D. V. Anosov Breakdown of academic impact, for papers by Artur Avila Breakdown of academic impact, for papers by Steven Zelditch Breakdown of academic impact, for papers by Arthur Wasserman Breakdown of academic impact, for papers by Pierre Moussa Breakdown of academic impact, for papers by V. F. Lazutkin Breakdown of academic impact, for papers by Maciej P. Wojtkowski Breakdown of academic impact, for papers by B. L. J. Braaksma Breakdown of academic impact, for papers by Rinat Kashaev Breakdown of academic impact, for papers by Curt McMullen
Rankless by CCL
2026