H. Scott Dumas

442 total citations
25 papers, 251 citations indexed

About

H. Scott Dumas is a scholar working on Statistical and Nonlinear Physics, Atomic and Molecular Physics, and Optics and Mathematical Physics. According to data from OpenAlex, H. Scott Dumas has authored 25 papers receiving a total of 251 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Statistical and Nonlinear Physics, 6 papers in Atomic and Molecular Physics, and Optics and 4 papers in Mathematical Physics. Recurrent topics in H. Scott Dumas's work include Quantum chaos and dynamical systems (7 papers), Mathematical Dynamics and Fractals (4 papers) and Astro and Planetary Science (3 papers). H. Scott Dumas is often cited by papers focused on Quantum chaos and dynamical systems (7 papers), Mathematical Dynamics and Fractals (4 papers) and Astro and Planetary Science (3 papers). H. Scott Dumas collaborates with scholars based in United States, France and Portugal. H. Scott Dumas's co-authors include J. Laskar, Kenneth R. Meyer, James A. Ellison, François Golse, Patricia Yanguas, Jesús F. Palacián, A. W. Saénz, Laurent Dumas, Georg Hoffstaetter and Pierre Lochak and has published in prestigious journals such as Physical Review Letters, Physics Letters A and Annals of Physics.

In The Last Decade

H. Scott Dumas

24 papers receiving 230 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
H. Scott Dumas United States 8 129 59 51 46 45 25 251
G. Servizi Italy 10 178 1.4× 47 0.8× 37 0.7× 50 1.1× 21 0.5× 28 279
Tomasz Dobrowolski Poland 11 65 0.5× 13 0.2× 75 1.5× 28 0.6× 20 0.4× 54 299
E. Piña Mexico 9 162 1.3× 30 0.5× 47 0.9× 7 0.2× 54 1.2× 51 277
Bernard Jancewicz Poland 10 80 0.6× 36 0.6× 113 2.2× 31 0.7× 66 1.5× 28 317
Michel Vittot France 9 170 1.3× 15 0.3× 83 1.6× 28 0.6× 28 0.6× 39 264
Pau Atela United States 6 152 1.2× 9 0.2× 81 1.6× 34 0.7× 25 0.6× 7 356
Evstati Evstatiev United States 10 158 1.2× 33 0.6× 147 2.9× 87 1.9× 60 1.3× 29 358
C. J. Eliezer Australia 7 215 1.7× 32 0.5× 166 3.3× 20 0.4× 32 0.7× 19 362
R. A. Leo Italy 12 284 2.2× 23 0.4× 124 2.4× 65 1.4× 13 0.3× 59 394
Maorong Zou United States 6 158 1.2× 24 0.4× 30 0.6× 8 0.2× 46 1.0× 8 255

Countries citing papers authored by H. Scott Dumas

Since Specialization
Citations

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

Fields of papers citing papers by H. Scott Dumas

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by H. Scott Dumas. 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 H. Scott Dumas. The network helps show where H. Scott Dumas may publish in the future.

Co-authorship network of co-authors of H. Scott Dumas

This figure shows the co-authorship network connecting the top 25 collaborators of H. Scott Dumas. A scholar is included among the top collaborators of H. Scott Dumas 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 H. Scott Dumas. H. Scott Dumas 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.
Dumas, H. Scott & Stéphane Fischler. (2022). Filling Times for Linear Flow on the Torus with Truncated Diophantine Conditions: A Brief Review and New Proof. Qualitative Theory of Dynamical Systems. 21(4). 1 indexed citations
2.
Dumas, H. Scott, Kenneth R. Meyer, Jesús F. Palacián, & Patricia Yanguas. (2017). Asymptotic stability estimates near an equilibrium point. Journal of Differential Equations. 263(2). 1125–1139. 4 indexed citations
3.
Dumas, H. Scott. (2013). The KAM Story. WORLD SCIENTIFIC eBooks. 33 indexed citations
4.
Graça, Daniel S., Ning Zhong, & H. Scott Dumas. (2012). The connection between computability of a nonlinear problem and its linearization: The Hartman–Grobman theorem revisited. Theoretical Computer Science. 457. 101–110. 6 indexed citations
5.
Dumas, H. Scott, et al.. (2007). Qualitative features of Hamiltonian systems through averaging and reduction. Deposito de Investigacion Universidad de Sevilla (University of Seville). 2 indexed citations
6.
Hoffstaetter, Georg, H. Scott Dumas, & James A. Ellison. (2006). Adiabatic invariance of spin-orbit motion in accelerators. Physical Review Special Topics - Accelerators and Beams. 9(1). 7 indexed citations
7.
Dumas, H. Scott. (2005). Mathematical theories of classical particle channeling in perfect crystals. Nuclear Instruments and Methods in Physics Research Section B Beam Interactions with Materials and Atoms. 234(1-2). 3–13. 1 indexed citations
8.
Dumas, H. Scott & James A. Ellison. (2005). AVERAGING FOR QUASIPERIODIC SYSTEMS. 726–731. 1 indexed citations
9.
Dumas, H. Scott, James A. Ellison, & Mathias Vogt. (2004). First-Order Averaging Principles for Maps with Applications to Accelerator Beam Dynamics. SIAM Journal on Applied Dynamical Systems. 3(4). 409–432. 4 indexed citations
10.
Dumas, H. Scott, James A. Ellison, & François Golse. (2000). A mathematical theory of planar particle channeling in crystals. Physica D Nonlinear Phenomena. 146(1-4). 341–366. 6 indexed citations
11.
Dumas, H. Scott & François Golse. (1997). The averaging method for perturbations of mixing flows. Ergodic Theory and Dynamical Systems. 17(6). 1339–1358. 6 indexed citations
12.
Dumas, H. Scott. (1996). Intermediate Classical Dynamics with Applications to Beam Physics (Leo Michelotti). SIAM Review. 38(4). 685–687. 2 indexed citations
13.
Dumas, H. Scott, Laurent Dumas, & François Golse. (1996). On the mean free path for a periodic array of spherical obstacles. Journal of Statistical Physics. 82(5-6). 1385–1407. 10 indexed citations
14.
Dumas, H. Scott, Kenneth R. Meyer, & Dieter Schmidt. (1995). Hamiltonian dynamical systems : history, theory, and applications. CERN Document Server (European Organization for Nuclear Research). 5 indexed citations
15.
Dumas, H. Scott, François Golse, & Pierre Lochak. (1994). Multiphase averaging for generalized flows on manifolds. Ergodic Theory and Dynamical Systems. 14(1). 53–67. 9 indexed citations
16.
Kirchgraber, Urs, Hans‐Otto Walther, Roger Bielawski, et al.. (1993). Dynamics Reported: Expositions in Dynamical Systems : New Series. Medical Entomology and Zoology. 5 indexed citations
17.
Dumas, H. Scott, J. A. Ellison, & A. W. Saénz. (1991). Axial channeling in perfect crystals, the continuum model, and the method of averaging. Annals of Physics. 209(1). 97–123. 8 indexed citations
18.
Ellison, James A., A. W. Saénz, & H. Scott Dumas. (1990). Improved Nth order averaging theory for periodic systems. Journal of Differential Equations. 84(2). 383–403. 16 indexed citations
19.
Kimball, J. C. & H. Scott Dumas. (1990). Symmetry in regular motion; Relation to chaos. Physics Letters A. 144(4-5). 201–205. 3 indexed citations
20.
Dumas, H. Scott. (1988). a Mathematical Theory of Classical Particle Channeling in Perfect Crystals.. PhDT. 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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