J. C. Guillot

455 total citations
23 papers, 252 citations indexed

About

J. C. Guillot is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Computational Theory and Mathematics. According to data from OpenAlex, J. C. Guillot has authored 23 papers receiving a total of 252 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Mathematical Physics, 9 papers in Statistical and Nonlinear Physics and 9 papers in Computational Theory and Mathematics. Recurrent topics in J. C. Guillot's work include Spectral Theory in Mathematical Physics (10 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Quantum chaos and dynamical systems (8 papers). J. C. Guillot is often cited by papers focused on Spectral Theory in Mathematical Physics (10 papers), Advanced Mathematical Modeling in Engineering (9 papers) and Quantum chaos and dynamical systems (8 papers). J. C. Guillot collaborates with scholars based in France, United States and Norway. J. C. Guillot's co-authors include James Ralston, Claude Bardos, Eugene Trubowitz, Mouez Dimassi, Jean-Claude Nédélec, Thomas Kappeler, Benoît Grébert, Calvin H. Wilcox, Anthony M. Bloch and G. Schmidt and has published in prestigious journals such as The Journal of the Acoustical Society of America, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

In The Last Decade

J. C. Guillot

23 papers receiving 221 citations

Peers

J. C. Guillot

CTM

SNP

AMPO

M. I. Muminov Uzbekistan

J. Brüning Germany

Rainer Hempel Germany

Leonid Parnovski United Kingdom

Tuncay Aktosun United States

Johann Walter Germany

Yu. Safarov United Kingdom

L. R. Bragg United States

Nicolas Dirr United Kingdom

Hynek Kovařík Italy

M. I. Muminov Uzbekistan

J. C. Guillot

150 ×0.8

69 ×0.8

CTM

86 ×1.2

SNP

46 ×0.8

46 ×0.9

AMPO

Citations per year, relative to J. C. Guillot J. C. Guillot (= 1×) peers M. I. Muminov

Countries citing papers authored by J. C. Guillot

Since Specialization

Citations

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

Fields of papers citing papers by J. C. Guillot

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. C. Guillot. 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 J. C. Guillot. The network helps show where J. C. Guillot may publish in the future.

Co-authorship network of co-authors of J. C. Guillot

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

Barbaroux, Jean-Marie & J. C. Guillot. (2009). Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons W^±. Advances in Mathematical Physics. 2009(1). 4 indexed citations

Dimassi, Mouez & J. C. Guillot. (2003). The quantum electrodynamics of relativistic bound states with cutoffs. I. Applied Mathematics Letters. 16(4). 551–555. 5 indexed citations

Ben‐Artzi, Matania, et al.. (2000). Analyticity properties and estimates of resolvent kernels near thresholds. Communications in Partial Differential Equations. 25(9-10). 1753–1770. 8 indexed citations

Guillot, J. C., et al.. (1999). Examples of Discrete Operators with a Pure Point Spectrum of Finite Multiplicity. Journal of Mathematical Analysis and Applications. 229(1). 170–183. 1 indexed citations

Guillot, J. C. & James Ralston. (1999). Inverse scattering at fixed energy for layered media. Journal de Mathématiques Pures et Appliquées. 78(1). 27–48. 7 indexed citations

Grébert, Benoît, J. C. Guillot, & Frédéric Klopp. (1997). On the Spectrum of Odd Order Self-Adjoint Ordinary Differential Operators on the Real Line with Quasi-periodic Coefficients. Journal of Differential Equations. 135(1). 41–65. 2 indexed citations

Grébert, Benoît & J. C. Guillot. (1996). Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: The resonant case. Applied Mathematics Letters. 9(1). 65–68. 2 indexed citations

Guillot, J. C., et al.. (1996). Isospectral sets for akns systems on the unit interval with generalized periodic boundary conditions. Geometric and Functional Analysis. 6(1). 1–27. 8 indexed citations

Grébert, Benoît & J. C. Guillot. (1995). Periodic solutions of coupled nonlinear Schrödinger equations in nonlinear optics: the nonresonant case. Applied Mathematics Letters. 8(5). 53–56. 5 indexed citations

10.

Bloch, Anthony M., et al.. (1995). On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS. Duke Mathematical Journal. 79(3). 16 indexed citations

11.

Grébert, Benoît, et al.. (1993). Foliation of phase space for the cubic nonlinear Schrödinger equation. Compositio Mathematica. 85(2). 163–199. 8 indexed citations

12.

Guillot, J. C. & Patrick Joly. (1989). Approximation by finite differences of the propagation of acoustic waves in stratified media. Numerische Mathematik. 54(6). 655–702. 2 indexed citations

13.

Guillot, J. C. & James Ralston. (1988). Inverse spectral theory for a singular Sturm-Liouville operator on [0, 1]. Journal of Differential Equations. 76(2). 353–373. 28 indexed citations

14.

Cooper, Jeffery & J. C. Guillot. (1988). Guided waves in a moving layer of fluid. The Journal of the Acoustical Society of America. 83(2). 470–473. 1 indexed citations

15.

Guillot, J. C., James Ralston, & Eugene Trubowitz. (1988). Semi-classical asymptotics in solid state physics. Communications in Mathematical Physics. 116(3). 401–415. 37 indexed citations

16.

Bamberger, A., J. C. Guillot, & Patrick Joly. (1988). Numerical Diffraction by a Uniform Grid. SIAM Journal on Numerical Analysis. 25(4). 753–783. 8 indexed citations

17.

Guillot, J. C. & Jean-Claude Nédélec. (1986). Existence and uniqueness of a rayleigh surface wave propagating along the free boundary of a transversely isotropic elastic half space. Mathematical Methods in the Applied Sciences. 8(1). 289–310. 16 indexed citations

18.

Bardos, Claude, J. C. Guillot, & James Ralston. (1980). Relation de Poisson pour l'équation des ondes dans un ouvert non borné. French digital mathematics library (Numdam). 1–9. 14 indexed citations

19.

Guillot, J. C. & Calvin H. Wilcox. (1978). Spectral analysis of the Epstein operator. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 80(1-2). 85–98. 10 indexed citations

20.

Guillot, J. C. & G. Schmidt. (1974). Spectral and scattering theory for Dirac operators. Archive for Rational Mechanics and Analysis. 55(3). 193–206. 7 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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