Eugène Gutkin

2.0k total citations
75 papers, 1.1k citations indexed

About

Eugène Gutkin is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Eugène Gutkin has authored 75 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Statistical and Nonlinear Physics, 36 papers in Mathematical Physics and 29 papers in Geometry and Topology. Recurrent topics in Eugène Gutkin's work include Quantum chaos and dynamical systems (29 papers), Mathematical Dynamics and Fractals (28 papers) and Cold Atom Physics and Bose-Einstein Condensates (14 papers). Eugène Gutkin is often cited by papers focused on Quantum chaos and dynamical systems (29 papers), Mathematical Dynamics and Fractals (28 papers) and Cold Atom Physics and Bose-Einstein Condensates (14 papers). Eugène Gutkin collaborates with scholars based in United States, Poland and Germany. Eugène Gutkin's co-authors include Chris Judge, Edmond Jonckheere, Nicolai Haydn, Nándor Simányi, Serge Tabachnikov, Anatole Katok, Michael Karow, Mark Kac, Bill Sutherland and Thomas Schmidt and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physics Reports and Communications in Mathematical Physics.

In The Last Decade

Eugène Gutkin

73 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Eugène Gutkin United States	19	646	623	440	153	152	75	1.1k
Michael R. Herman France	12	884 1.4×	675 1.1×	526 1.2×	107 0.7×	48 0.3×	18	1.1k
Nicholas M. Ercolani United States	18	288 0.4×	632 1.0×	192 0.4×	59 0.4×	193 1.3×	51	1.0k
Yves Colin de Verdìère France	24	1.1k 1.7×	622 1.0×	572 1.3×	453 3.0×	230 1.5×	73	1.8k
Pierre Lochak France	13	272 0.4×	454 0.7×	281 0.6×	47 0.3×	95 0.6×	36	745
Anne Boutet de Monvel France	23	1.1k 1.8×	1.2k 2.0×	245 0.6×	242 1.6×	316 2.1×	84	1.9k
Michael Brin United States	15	774 1.2×	426 0.7×	533 1.2×	134 0.9×	30 0.2×	27	1.1k
Franco Vivaldi United Kingdom	22	639 1.0×	1.2k 1.9×	286 0.7×	195 1.3×	211 1.4×	71	1.6k
Steven Zelditch United States	12	485 0.8×	381 0.6×	199 0.5×	40 0.3×	97 0.6×	29	707
Richard Cushman Netherlands	24	296 0.5×	1.0k 1.7×	517 1.2×	85 0.6×	371 2.4×	73	1.7k
Horst Knörrer Switzerland	12	227 0.4×	210 0.3×	282 0.6×	123 0.8×	100 0.7×	42	642

Countries citing papers authored by Eugène Gutkin

Since Specialization

Citations

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

Fields of papers citing papers by Eugène Gutkin

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Eugène Gutkin

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

All Works

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20 of 20 papers shown

Gutkin, Eugène. (2013). On a multi-dimensional generalization of the notions of orthostochastic and unistochastic matrices. Journal of Geometry and Physics. 74. 28–35.

Gutkin, Eugène. (2011). Curvatures, volumes and norms of derivatives for curves in Riemannian manifolds. Journal of Geometry and Physics. 61(11). 2147–2161. 9 indexed citations

Gutkin, Eugène. (2011). Billiard dynamics: a survey with the emphasis on open problems. Nelineinaya Dinamika. 489–512. 20 indexed citations

Gutkin, Eugène. (2008). Topological entropy and blocking cost for geodesics in Riemannian manifolds. Geometriae Dedicata. 138(1). 13–23. 4 indexed citations

Gutkin, Eugène. (2004). The Toeplitz-Hausdorff Theorem Revisited: Relating Linear Algebra and Geometry. The Mathematical Intelligencer. 26(1). 8–14. 8 indexed citations

Gutkin, Eugène, Edmond Jonckheere, & Michael Karow. (2003). Convexity of the joint numerical range: topological and differential geometric viewpoints. Linear Algebra and its Applications. 376. 143–171. 45 indexed citations

Gutkin, Eugène. (2000). BRANCHED COVERINGS AND CLOSED GEODESICS IN FLAT SURFACES, WITH APPLICATIONS TO BILLIARDS. Dynamical Systems. 259–273. 2 indexed citations

Jonckheere, Edmond, et al.. (1998). Differential topology of numerical range. Linear Algebra and its Applications. 279(1-3). 227–254. 21 indexed citations

Gutkin, Eugène. (1998). Green’s functions of free products of operators, with applications to graph spectra and to random walks. Nagoya Mathematical Journal. 149. 93–116. 4 indexed citations

10.

Gutkin, Eugène. (1997). Two Applications of Calculus to Triangular Billiards. American Mathematical Monthly. 104(7). 618–622. 6 indexed citations

11.

Gutkin, Eugène & Nicolai Haydn. (1997). Topological entropy of polygon exchange transformations and polygonal billiards. Ergodic Theory and Dynamical Systems. 17(4). 849–867. 25 indexed citations

12.

Gutkin, Eugène & Chris Judge. (1996). The Geometry and Arithmetic of Translation Surfaces with Applications to Polygonal Billiards. Mathematical Research Letters. 3(3). 391–403. 24 indexed citations

13.

Gutkin, Eugène. (1996). Billiards in polygons: Survey of recent results. Journal of Statistical Physics. 83(1-2). 7–26. 97 indexed citations

14.

Gutkin, Eugène. (1988). Integrable many-body problems and functional equations. Journal of Mathematical Analysis and Applications. 133(1). 122–134. 4 indexed citations

15.

Gutkin, Eugène. (1988). Quantum nonlinear Schrödinger equation II. Explicit solution. Journal of Functional Analysis. 77(2). 326–345. 3 indexed citations

16.

Gutkin, Eugène. (1986). A comment on Baxter condition for commutativity of transfer matrices. Journal of Statistical Physics. 44(1-2). 193–202. 4 indexed citations

17.

Gutkin, Eugène. (1985). Asymptotics of trajectories for cone potentials. Physica D Nonlinear Phenomena. 17(2). 235–242. 15 indexed citations

18.

Gutkin, Eugène. (1975). Overcomplete subspace systems and operator symbols. Functional Analysis and Its Applications. 9(3). 260–262. 3 indexed citations

19.

Gutkin, Eugène. (1973). Matrices connected with groups generated by mappings. Functional Analysis and Its Applications. 7(2). 153–154. 5 indexed citations

20.

Gutkin, Eugène. (1973). Representations of algebraic unipotent groups over a self-dual field. Functional Analysis and Its Applications. 7(4). 322–323. 3 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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