C.-M. Viallet

2.3k total citations
38 papers, 1.3k citations indexed

About

C.-M. Viallet is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Nuclear and High Energy Physics. According to data from OpenAlex, C.-M. Viallet has authored 38 papers receiving a total of 1.3k indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Geometry and Topology, 19 papers in Statistical and Nonlinear Physics and 14 papers in Nuclear and High Energy Physics. Recurrent topics in C.-M. Viallet's work include Algebraic structures and combinatorial models (18 papers), Black Holes and Theoretical Physics (14 papers) and Nonlinear Waves and Solitons (13 papers). C.-M. Viallet is often cited by papers focused on Algebraic structures and combinatorial models (18 papers), Black Holes and Theoretical Physics (14 papers) and Nonlinear Waves and Solitons (13 papers). C.-M. Viallet collaborates with scholars based in France, Finland and Switzerland. C.-M. Viallet's co-authors include O. Babelon, Marc Bellon, Jarmo Hietarinta, M. K. Daniel, P. K. Mitter, H. J. de Vega, J.-M. Maillard, F Schaposnik, Michel Talon and Michel Dubois‐Violette and has published in prestigious journals such as Physical Review Letters, SHILAP Revista de lepidopterología and Reviews of Modern Physics.

In The Last Decade

C.-M. Viallet

35 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
C.-M. Viallet France	18	693	601	559	281	203	38	1.3k
J. Harnad Canada	26	1.0k 1.5×	600 1.0×	517 0.9×	362 1.3×	225 1.1×	83	1.6k
V. B. Petkova Bulgaria	22	596 0.9×	647 1.1×	1.2k 2.1×	252 0.9×	237 1.2×	46	1.6k
V. K. Dobrev Bulgaria	19	715 1.0×	751 1.2×	750 1.3×	360 1.3×	556 2.7×	128	1.5k
L. A. Takhtadzhyan Slovakia	13	947 1.4×	799 1.3×	360 0.6×	294 1.0×	255 1.3×	29	1.5k
H. W. Braden United Kingdom	16	692 1.0×	511 0.9×	619 1.1×	116 0.4×	142 0.7×	65	1.1k
A. Marshakov Russia	26	1.3k 1.8×	1.1k 1.9×	1.4k 2.4×	514 1.8×	183 0.9×	95	2.1k
H. Itoyama Japan	22	599 0.9×	594 1.0×	1.1k 2.1×	207 0.7×	96 0.5×	97	1.5k
O. Babelon France	23	981 1.4×	963 1.6×	639 1.1×	183 0.7×	363 1.8×	48	1.6k
M. Martellini Italy	19	562 0.8×	482 0.8×	759 1.4×	340 1.2×	72 0.4×	99	1.2k
Mihail Mintchev Italy	24	597 0.9×	523 0.9×	639 1.1×	364 1.3×	92 0.5×	87	1.6k

Countries citing papers authored by C.-M. Viallet

Since Specialization

Citations

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

Fields of papers citing papers by C.-M. Viallet

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by C.-M. Viallet. 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 C.-M. Viallet. The network helps show where C.-M. Viallet may publish in the future.

Co-authorship network of co-authors of C.-M. Viallet

This figure shows the co-authorship network connecting the top 25 collaborators of C.-M. Viallet. A scholar is included among the top collaborators of C.-M. Viallet 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 C.-M. Viallet. C.-M. Viallet 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

Hietarinta, Jarmo & C.-M. Viallet. (2025). On the parametrization of solutions of the Yang--Baxter equations.

Viallet, C.-M.. (2024). An exercise in experimental mathematics: calculation of the algebraic entropy of a map. SHILAP Revista de lepidopterología. Special Issue in Memory of.... 2 indexed citations

Viallet, C.-M.. (2013). Discrete integrable systems: QRT maps and elliptic surfaces (Springer Monographs in Mathematics). Bulletin of the London Mathematical Society. 45(4). 891–893. 7 indexed citations

Hietarinta, Jarmo & C.-M. Viallet. (2012). Weak Lax pairs for lattice equations. Nonlinearity. 25(7). 1955–1966. 11 indexed citations

Viallet, C.-M.. (2009). INTEGRABLE LATTICE MAPS: Q_V, A RATIONAL VERSION OF Q₄. Glasgow Mathematical Journal. 51(A). 157–163. 22 indexed citations

Viallet, C.-M.. (2008). ALGEBRAIC DYNAMICS AND ALGEBRAIC ENTROPY. International Journal of Geometric Methods in Modern Physics. 5(8). 1373–1391. 8 indexed citations

Nijhoff, Frank, Yu. B. Suris, & C.-M. Viallet. (2003). Foreword. Journal of Nonlinear Mathematical Physics. 10(S2). N1–N1. 1 indexed citations

Maillard, J-M, et al.. (2002). Random matrix theory and higher genus integrability: the quantum chiral Potts model. Journal of Physics A Mathematical and General. 35(23). 4801–4822. 8 indexed citations

Hietarinta, Jarmo & C.-M. Viallet. (2000). Discrete Painlevé I and singularity confinement in projective space. Chaos Solitons & Fractals. 11(1-3). 29–32. 16 indexed citations

10.

Bellon, Marc & C.-M. Viallet. (1999). Algebraic Entropy. Communications in Mathematical Physics. 204(2). 425–437. 128 indexed citations

11.

Bellon, Marc, S. Boukraa, J.-M. Maillard, & C.-M. Viallet. (1993). Towards three-dimensional Bethe ansatz. Physics Letters B. 314(1). 79–88. 4 indexed citations

12.

Bellon, Marc, J.-M. Maillard, & C.-M. Viallet. (1992). Mappings in higher dimensions. AIP conference proceedings. 248. 188–205. 1 indexed citations

13.

Bellon, Marc, J.-M. Maillard, & C.-M. Viallet. (1991). Infinite discrete symmetry group for the Yang-Baxter equations. Vertex models. Physics Letters B. 260(1-2). 87–100. 28 indexed citations

14.

Avan, Jean, J-M Maillard, Michel Talon, & C.-M. Viallet. (1990). ALGEBRAIC VARIETIES FOR THE CHIRAL POTTS MODEL. International Journal of Modern Physics B. 4(10). 1743–1762. 5 indexed citations

15.

Dubois‐Violette, Michel, Michel Talon, & C.-M. Viallet. (1985). B.R.S. algebras. Analysis of the consistency equations in gauge theory. Communications in Mathematical Physics. 102(1). 105–122. 67 indexed citations

16.

Babelon, O., H. J. de Vega, & C.-M. Viallet. (1983). Exact excitation spectrum of the Zn + 1 × Zn + 1 generalized Heisenberg model. Nuclear Physics B. 220(3). 283–301. 20 indexed citations

17.

Babelon, O., H. J. de Vega, & C.-M. Viallet. (1983). Analysis of the Bethe ansatz equations of the XXZ model. Nuclear Physics B. 220(1). 13–34. 76 indexed citations

18.

Mitter, P. K. & C.-M. Viallet. (1981). On the bundle of connections and the gauge orbit manifold in Yang-Mills theory. Communications in Mathematical Physics. 79(4). 457–472. 113 indexed citations

19.

Babelon, O. & C.-M. Viallet. (1979). The geometrical interpretation of the Faddeev-Popov determinant. Physics Letters B. 85(2-3). 246–248. 67 indexed citations

20.

Viallet, C.-M., et al.. (1977). Théorie du portefeuille : analyse du risque et de la rentabilité. Medical Entomology and Zoology.

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