Mark Levi

2.0k total citations
62 papers, 1.2k citations indexed

About

Mark Levi is a scholar working on Statistical and Nonlinear Physics, Geometry and Topology and Control and Systems Engineering. According to data from OpenAlex, Mark Levi has authored 62 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Statistical and Nonlinear Physics, 18 papers in Geometry and Topology and 13 papers in Control and Systems Engineering. Recurrent topics in Mark Levi's work include Quantum chaos and dynamical systems (26 papers), Nonlinear Dynamics and Pattern Formation (9 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Mark Levi is often cited by papers focused on Quantum chaos and dynamical systems (26 papers), Nonlinear Dynamics and Pattern Formation (9 papers) and Advanced Differential Equations and Dynamical Systems (9 papers). Mark Levi collaborates with scholars based in United States, Russia and Netherlands. Mark Levi's co-authors include John Baillieul, W. L. Miranker, Frank C. Hoppensteadt, Henk Broer, Serge Tabachnikov, V. A. Kaloshin, Oleg N. Kirillov, Warren Weckesser, Eduard Zehnder and Ram M. Narayanan and has published in prestigious journals such as Physical review. B, Condensed matter, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Mark Levi

56 papers receiving 1.1k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mark Levi United States 20 686 324 301 211 205 62 1.2k
James Murdock United States 11 461 0.7× 269 0.8× 229 0.8× 256 1.2× 71 0.3× 34 1.3k
Wolf‐Jürgen Beyn Germany 18 365 0.5× 278 0.9× 315 1.0× 145 0.7× 196 1.0× 57 1.3k
Jeroen S. W. Lamb United Kingdom 15 759 1.1× 120 0.4× 359 1.2× 469 2.2× 193 0.9× 48 1.2k
W.‐H. Steeb Germany 19 1.1k 1.6× 128 0.4× 286 1.0× 213 1.0× 118 0.6× 184 1.7k
Yoshisuke Ueda Japan 16 838 1.2× 210 0.6× 615 2.0× 110 0.5× 88 0.4× 54 1.3k
André Vanderbauwhede Belgium 14 394 0.6× 138 0.4× 153 0.5× 205 1.0× 131 0.6× 46 880
Michele V. Bartuccelli United Kingdom 16 424 0.6× 171 0.5× 366 1.2× 35 0.2× 177 0.9× 61 851
William F. Langford Canada 17 481 0.7× 111 0.3× 508 1.7× 222 1.1× 37 0.2× 34 1.0k
François Gay–Balmaz France 17 358 0.5× 237 0.7× 47 0.2× 147 0.7× 74 0.4× 94 995
Mario Sigalotti France 19 156 0.2× 419 1.3× 90 0.3× 100 0.5× 231 1.1× 92 914

Countries citing papers authored by Mark Levi

Since Specialization
Citations

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

Fields of papers citing papers by Mark Levi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mark Levi

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Levi. A scholar is included among the top collaborators of Mark Levi 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 Mark Levi. Mark Levi 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.
Levi, Mark & Jing Zhou. (2023). Arnold Tongues in Area-Preserving Maps. Archive for Rational Mechanics and Analysis. 247(3).
2.
Levi, Mark & Tadashi Tokieda. (2021). A Communicating-Vessels Proof of Hölder’s Inequality. American Mathematical Monthly. 128(4). 370–370. 1 indexed citations
3.
Cox, Graham & Mark Levi. (2020). The ponderomotive Lorentz force. Nonlinearity. 33(8). 4030–4045. 1 indexed citations
4.
Levi, Mark, et al.. (2020). Hill’s equation, tire tracks and rolling cones. Nonlinearity. 33(4). 1424–1442. 1 indexed citations
5.
Levi, Mark. (2020). A Water-Based Proof of the Cauchy–Schwarz Inequality. American Mathematical Monthly. 127(6). 572–572. 3 indexed citations
6.
Levi, Mark. (2016). Schrödinger’s equation and “bike tracks” — A connection. Journal of Geometry and Physics. 115. 124–130. 2 indexed citations
7.
8.
Foote, Robert L., Mark Levi, & Serge Tabachnikov. (2013). Tractrices, Bicycle Tire Tracks, Hatchet Planimeters, and a 100-year-old Conjecture. American Mathematical Monthly. 120(3). 199–216. 23 indexed citations
9.
Broer, Henk, Mark Levi, & Carles Simó. (2013). Large scale radial stability density of Hill's equation. Nonlinearity. 26(2). 565–589. 4 indexed citations
10.
11.
Kaloshin, V. A. & Mark Levi. (2008). An example of Arnold diffusion for near-integrable Hamiltonians. Bulletin of the American Mathematical Society. 45(3). 409–427. 18 indexed citations
12.
Levi, Mark & Serge Tabachnikov. (2007). The Poncelet Grid and Billiards in Ellipses. American Mathematical Monthly. 114(10). 895–908. 18 indexed citations
13.
Levi, Mark. (2003). On a problem by Arnold on periodic motions in magnetic fields. Communications on Pure and Applied Mathematics. 56(8). 1165–1177. 2 indexed citations
14.
Levi, Mark & Jiangong You. (1997). Oscillatory Escape in a Duffing Equation with a Polynomial Potential. Journal of Differential Equations. 140(2). 415–426. 10 indexed citations
15.
Levi, Mark, et al.. (1988). Caterpillar solutions in coupled pendula. Ergodic Theory and Dynamical Systems. 8(8). 153–174. 7 indexed citations
16.
Levi, Mark. (1988). Stability of the Inverted Pendulum—A Topological Explanation. SIAM Review. 30(4). 639–644. 34 indexed citations
17.
Levi, Mark, et al.. (1988). Dynamical Systems Approaches to Nonlinear Problems in Systems and Circuits. Medical Entomology and Zoology. 51 indexed citations
18.
Baillieul, John & Mark Levi. (1987). Rotational elastic dynamics. Physica D Nonlinear Phenomena. 27(1-2). 43–62. 99 indexed citations
19.
Levi, Mark. (1983). On stability of symplectic maps. Journal of Differential Equations. 50(3). 441–443. 1 indexed citations
20.
Levi, Mark. (1981). Adiabatic invariants of the linear Hamiltonian systems with periodic coefficients. Journal of Differential Equations. 42(1). 47–71. 5 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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