Pierre Lochak

1.6k total citations
36 papers, 745 citations indexed

About

Pierre Lochak is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Mathematical Physics. According to data from OpenAlex, Pierre Lochak has authored 36 papers receiving a total of 745 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 16 papers in Statistical and Nonlinear Physics and 15 papers in Mathematical Physics. Recurrent topics in Pierre Lochak's work include Quantum chaos and dynamical systems (11 papers), Nonlinear Waves and Solitons (10 papers) and Homotopy and Cohomology in Algebraic Topology (9 papers). Pierre Lochak is often cited by papers focused on Quantum chaos and dynamical systems (11 papers), Nonlinear Waves and Solitons (10 papers) and Homotopy and Cohomology in Algebraic Topology (9 papers). Pierre Lochak collaborates with scholars based in France, United States and Germany. Pierre Lochak's co-authors include Claude Meunier, Leila Schneps, А. И. Нейштадт, David Sauzin, Allen Hatcher, Alexandre Grothendieck, Mikhaël Balabane, François Golse, J.-M. Maillard and Hiroaki Nakamura and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Physica D Nonlinear Phenomena.

In The Last Decade

Pierre Lochak

35 papers receiving 666 citations

Peers

Pierre Lochak

SNP

AMPO

Renat Zhdanov Ukraine

Junta Matsukidaira Japan

Larry Bates Canada

Partha Guha India

Floyd L. Williams United States

B. L. J. Braaksma Netherlands

Анатолий Тимофеевич Фоменко

Yuri B. Suris Germany

Eugène Gutkin United States

F. Cantrijn Belgium

Renat Zhdanov Ukraine

Pierre Lochak

1.0k ×2.2

SNP

233 ×0.8

142 ×0.5

138 ×1.5

AMPO

284 ×3.5

Citations per year, relative to Pierre Lochak Pierre Lochak (= 1×) peers Renat Zhdanov

Countries citing papers authored by Pierre Lochak

Since Specialization

Citations

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

Fields of papers citing papers by Pierre Lochak

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Pierre Lochak

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Lochak, Pierre, et al.. (2020). Elliptic multizeta values and the elliptic double shuffle relations. HAL (Le Centre pour la Communication Scientifique Directe). 4 indexed citations

Lochak, Pierre. (2019). Results and conjectures in profinite Teichmüller theory. Advanced studies in pure mathematics. 263–335. 1 indexed citations

Funar, Louis & Pierre Lochak. (2018). Profinite Completions of Burnside-Type Quotients of Surface Groups. Communications in Mathematical Physics. 360(3). 1061–1082. 1 indexed citations

Lochak, Pierre & Michel Vaquié. (2018). Groupe fondamental des champs algébriques, inertie et action galoisienne. Annales de la faculté des sciences de Toulouse Mathématiques. 27(1). 199–264. 1 indexed citations

Lochak, Pierre, et al.. (2017). Elliptic multiple zeta values and the elliptic double shuffle relations. arXiv (Cornell University). 2 indexed citations

Lochak, Pierre, et al.. (2016). Divisorial inertia and central elements in braid groups. Journal of Algebra. 457. 26–44.

Artin, Michael, David Mumford, John Tate, et al.. (2016). Alexandre Grothendieck, 1928–2014, Part 2. Notices of the American Mathematical Society. 63(4). 401–413. 1 indexed citations

Lochak, Pierre. (2005). ON ARITHMETIC CURVES IN THE MODULI SPACES OF CURVES. Journal of the Institute of Mathematics of Jussieu. 4(3). 443–508. 20 indexed citations

Lochak, Pierre, Hiroaki Nakamura, & Leila Schneps. (2004). Eigenloci of 5 Point Configurations on the Riemann Sphere and the Grothendieck-Teichm・ler Group. Mathematical Journal of Okayama University. 46(1). 39–76. 4 indexed citations

10.

Golse, François & Pierre Lochak. (2003). An infinitesimal trace formula for the Laplace operator on compact Riemann surfaces. Commentarii Mathematici Helvetici. 78(4). 731–739. 2 indexed citations

11.

Lochak, Pierre, et al.. (2003). On the splitting of invariant manifolds in multidimensional near-integrable Hamiltonian systems. Memoirs of the American Mathematical Society. 163(775). 0–0. 51 indexed citations

12.

Schneps, Leila, Pierre Lochak, & Alexandre Grothendieck. (1997). Around Grothendieck's Esquisse d'un programme. Cambridge University Press eBooks. 5 indexed citations

13.

Schneps, Leila & Pierre Lochak. (1997). The inverse Galois problem, moduli spaces and mapping class groups. Cambridge University Press eBooks. 3 indexed citations

14.

Schneps, Leila, Alexandre Grothendieck, Frans J. Oort, et al.. (1997). Geometric Galois Actions. Cambridge University Press eBooks. 49 indexed citations

15.

Lochak, Pierre, Leila Schneps, & Claus Scheiderer. (1997). A cohomological interpretation of the Grothendieck-Teichmüller group. Inventiones mathematicae. 127(3). 571–600. 13 indexed citations

16.

Lochak, Pierre, Hiroaki Nakamura, & Leila Schneps. (1997). On a new version of the Grothendieck-Teichmüller group. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 325(1). 11–16. 12 indexed citations

17.

Lochak, Pierre & Anna Porzio. (1989). A realistic exponential estimate for a paradigm hamiltonian. French digital mathematics library (Numdam). 51(2). 199–219. 1 indexed citations

18.

Balabane, Mikhaël, Pierre Lochak, & Catherine Sulem. (1989). Integrable Systems and Applications. Lecture notes in physics. 16 indexed citations

19.

Lebeau, Gilles & Pierre Lochak. (1987). On the second Painlevé Equation: The connection formula via a Riemann-Hilbert problem and other results. Journal of Differential Equations. 68(3). 344–372. 5 indexed citations

20.

Lochak, Pierre. (1983). About the adiabatic stability of resonant states. French digital mathematics library (Numdam). 39(2). 119–143. 2 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