Gideon Simpson

621 total citations
32 papers, 320 citations indexed

About

Gideon Simpson is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Mechanics of Materials. According to data from OpenAlex, Gideon Simpson has authored 32 papers receiving a total of 320 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 15 papers in Statistical and Nonlinear Physics and 4 papers in Mechanics of Materials. Recurrent topics in Gideon Simpson's work include Advanced Mathematical Physics Problems (12 papers), Nonlinear Photonic Systems (11 papers) and Nonlinear Waves and Solitons (10 papers). Gideon Simpson is often cited by papers focused on Advanced Mathematical Physics Problems (12 papers), Nonlinear Photonic Systems (11 papers) and Nonlinear Waves and Solitons (10 papers). Gideon Simpson collaborates with scholars based in United States, Canada and France. Gideon Simpson's co-authors include Michael I. Weinstein, Marc Spiegelman, Catherine Sulem, Xiao Liu, Claudio Muñoz, Didier Pilod, Raphaël Côte, Hendrik Weber, F. J. Pinski and Andrew M. Stuart and has published in prestigious journals such as The Journal of Chemical Physics, Journal of Geophysical Research Atmospheres and PLoS ONE.

In The Last Decade

Gideon Simpson

30 papers receiving 300 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Gideon Simpson United States	11	158	136	38	36	33	32	320
Mathew A. Johnson United States	17	348 2.2×	318 2.3×	13 0.3×	23 0.6×	13 0.4×	38	597
Brenton LeMesurier United States	5	155 1.0×	133 1.0×	97 2.6×	68 1.9×	3 0.1×	14	355
Selçuk Ş. Bayın Türkiye	13	141 0.9×	31 0.2×	12 0.3×	111 3.1×	7 0.2×	32	570
Ralph Saxton United States	8	400 2.5×	205 1.5×	6 0.2×	25 0.7×	6 0.2×	18	513
Vyacheslav O. Vakhnenko Ukraine	15	1.0k 6.4×	288 2.1×	46 1.2×	254 7.1×	9 0.3×	39	1.2k
Kazuaki Nakayama Japan	7	261 1.7×	73 0.5×	4 0.1×	29 0.8×	7 0.2×	25	358
Chong-Dong Cheng China	14	511 3.2×	122 0.9×	11 0.3×	73 2.0×	3 0.1×	23	594
S. Mischler France	15	124 0.8×	217 1.6×	4 0.1×	52 1.4×	28 0.8×	19	626
H. Scott Dumas United States	8	129 0.8×	36 0.3×	3 0.1×	51 1.4×	13 0.4×	25	251
三樹和達	4	380 2.4×	94 0.7×	7 0.2×	138 3.8×	7 0.2×	4	471

Countries citing papers authored by Gideon Simpson

Since Specialization

Citations

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

Fields of papers citing papers by Gideon Simpson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Gideon Simpson

This figure shows the co-authorship network connecting the top 25 collaborators of Gideon Simpson. A scholar is included among the top collaborators of Gideon Simpson 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 Gideon Simpson. Gideon Simpson 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

Berglund, Nils, Georgi S. Medvedev, & Gideon Simpson. (2025). Metastability in the stochastic nearest-neighbour Kuramoto model of coupled phase oscillators. Nonlinearity. 38(9). 95031–95031.

Simpson, Gideon, et al.. (2024). The fast committor machine: Interpretable prediction with kernels. The Journal of Chemical Physics. 161(8). 2 indexed citations

Medvedev, Georgi S. & Gideon Simpson. (2022). A numerical method for a nonlocal diffusion equation with additive noise. Stochastic Partial Differential Equations Analysis and Computations. 11(4). 1433–1469. 3 indexed citations

Woloszynek, Stephen, Joshua Chang Mell, Zhengqiao Zhao, et al.. (2019). Exploring thematic structure and predicted functionality of 16S rRNA amplicon data. PLoS ONE. 14(12). e0219235–e0219235. 17 indexed citations

Luskin, Mitchell, et al.. (2017). Spin-diffusions and diffusive molecular dynamics. Modelling and Simulation in Materials Science and Engineering. 25(8). 84003–84003. 5 indexed citations

Simpson, Gideon, et al.. (2015). Petviashvilli’s Method for the Dirichlet Problem. Journal of Scientific Computing. 66(1). 296–320. 10 indexed citations

Pinski, F. J., Gideon Simpson, Andrew M. Stuart, & Hendrik Weber. (2015). Algorithms for Kullback--Leibler Approximation of Probability Measures in Infinite Dimensions. SIAM Journal on Scientific Computing. 37(6). A2733–A2757. 24 indexed citations

Marzuola, Jeremy L., et al.. (2014). Dynamics near a minimal-mass soliton for a Korteweg–de Vries equation. Dynamical Systems. 29(2). 285–299.

Lelièvre, Tony, et al.. (2014). The Parallel Replica Method for Simulating Long Trajectories of Markov Chains. arXiv (Cornell University). 5 indexed citations

10.

Liu, Xiao, Gideon Simpson, & Catherine Sulem. (2013). Focusing singularity in a derivative nonlinear Schrödinger equation. Physica D Nonlinear Phenomena. 262. 48–58. 14 indexed citations

11.

Colliander, J., Jeremy L. Marzuola, Tadahiro Oh, & Gideon Simpson. (2013). Behavior of a Model Dynamical System with Applications to Weak Turbulence. Experimental Mathematics. 22(3). 250–264. 2 indexed citations

12.

Liu, Xiao, Gideon Simpson, & Catherine Sulem. (2013). Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation. Journal of Nonlinear Science. 23(4). 557–583. 30 indexed citations

13.

Asad, Reem & Gideon Simpson. (2011). Embedded eigenvalues and the nonlinear Schrödinger equation. Journal of Mathematical Physics. 52(3). 5 indexed citations

14.

Simpson, Gideon, et al.. (2011). Vortex collapse for the L2-critical nonlinear Schrödinger equation. Journal of Mathematical Physics. 52(8). 4 indexed citations

15.

Simpson, Gideon, Marc Spiegelman, & Michael I. Weinstein. (2010). A multiscale model of partial melts: 1. Effective equations. Journal of Geophysical Research Atmospheres. 115(B4). 36 indexed citations

16.

Simpson, Gideon, Catherine Sulem, & P. L. Sulem. (2009). Arrest of Langmuir wave collapse by quantum effects. Physical Review E. 80(5). 56405–56405. 13 indexed citations

17.

Simpson, Gideon. (2008). The mathematics of magma migration. 2 indexed citations

18.

Simpson, Gideon & Michael I. Weinstein. (2008). Asymptotic Stability of Ascending Solitary Magma Waves. SIAM Journal on Mathematical Analysis. 40(4). 1337–1391. 9 indexed citations

19.

Pratt, R. G., et al.. (1974). Acoustic-surface-wave properties of Bi ₁₂ SiO ₂₀ and related compounds. Electronics Letters. 10(18). 369–371. 4 indexed citations

20.

Pratt, R. G., Gideon Simpson, & William Crossley. (1972). Acoustic-surface-wave properties of Bi ₁₂ GeO ₂₀. Electronics Letters. 8(5). 127–128. 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.

Explore authors with similar magnitude of impact