Eric Lombardi

615 total citations
20 papers, 379 citations indexed

About

Eric Lombardi is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Numerical Analysis. According to data from OpenAlex, Eric Lombardi has authored 20 papers receiving a total of 379 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Geometry and Topology, 9 papers in Statistical and Nonlinear Physics and 5 papers in Numerical Analysis. Recurrent topics in Eric Lombardi's work include Advanced Differential Equations and Dynamical Systems (9 papers), Quantum chaos and dynamical systems (6 papers) and Nonlinear Waves and Solitons (5 papers). Eric Lombardi is often cited by papers focused on Advanced Differential Equations and Dynamical Systems (9 papers), Quantum chaos and dynamical systems (6 papers) and Nonlinear Waves and Solitons (5 papers). Eric Lombardi collaborates with scholars based in France, Türkiye and United States. Eric Lombardi's co-authors include Gérard Iooss, Christian Wolf, Laurent Stolovitch, Bülent Sankur, Oya Çeliktutan, Mariana Hărăguş, Arnd Scheel, Mingyuan Jiu, Christophe García and Charles‐Edmond Bichot and has published in prestigious journals such as Lecture notes in mathematics, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and Archive for Rational Mechanics and Analysis.

In The Last Decade

Eric Lombardi

20 papers receiving 355 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Eric Lombardi France 11 217 107 73 64 64 20 379
Jürgen Scheurle Germany 10 359 1.7× 145 1.4× 106 1.5× 4 0.1× 66 1.0× 30 554
В. Н. Четвериков Russia 9 256 1.2× 66 0.6× 138 1.9× 22 0.3× 10 0.2× 41 416
Kaizhi Wang China 10 123 0.6× 31 0.3× 40 0.5× 46 0.7× 12 0.2× 46 431
Andrey Sarychev Russia 13 81 0.4× 76 0.7× 114 1.6× 16 0.3× 19 0.3× 38 471
Cristina Stoica Canada 8 134 0.6× 27 0.3× 45 0.6× 17 0.3× 24 0.4× 26 339
Daniel Wilczak Poland 14 327 1.5× 99 0.9× 105 1.4× 19 0.3× 89 1.4× 24 415
Sergey Pekarsky United States 7 144 0.7× 35 0.3× 33 0.5× 9 0.1× 16 0.3× 8 319
Hernán Cendra Argentina 9 123 0.6× 78 0.7× 69 0.9× 19 0.3× 10 0.2× 25 329
Masaya Yamaguti Japan 12 137 0.6× 151 1.4× 61 0.8× 10 0.2× 96 1.5× 31 480

Countries citing papers authored by Eric Lombardi

Since Specialization
Citations

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

Fields of papers citing papers by Eric Lombardi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Eric Lombardi

This figure shows the co-authorship network connecting the top 25 collaborators of Eric Lombardi. A scholar is included among the top collaborators of Eric Lombardi 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 Eric Lombardi. Eric Lombardi 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.
Wolf, Christian, et al.. (2017). Multi‐view pose estimation with mixtures of parts and adaptive viewpoint selection. IET Computer Vision. 12(4). 403–411. 5 indexed citations
2.
Bernard, Patrick, et al.. (2016). Homoclinic orbits with many loops near a $0^2 i\omega$ resonant fixed point of Hamiltonian systems. Discrete and Continuous Dynamical Systems. 36(6). 3153–3225. 3 indexed citations
3.
Wolf, Christian, Eric Lombardi, Julien Mille, et al.. (2014). Evaluation of video activity localizations integrating quality and quantity measurements. Computer Vision and Image Understanding. 127. 14–30. 51 indexed citations
4.
Çeliktutan, Oya, Christian Wolf, Bülent Sankur, & Eric Lombardi. (2014). Fast Exact Hyper-graph Matching with Dynamic Programming for Spatio-temporal Data. Journal of Mathematical Imaging and Vision. 51(1). 1–21. 19 indexed citations
5.
Iooss, Gérard & Eric Lombardi. (2010). Approximate invariant manifolds up to exponentially small terms. Journal of Differential Equations. 248(6). 1410–1431. 4 indexed citations
6.
Lombardi, Eric & Laurent Stolovitch. (2010). Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation. Annales Scientifiques de l École Normale Supérieure. 43(4). 659–718. 18 indexed citations
7.
Lombardi, Eric & Laurent Stolovitch. (2008). Forme normale de perturbation de champs de vecteurs quasi-homogènes. Comptes Rendus Mathématique. 347(3-4). 143–146. 2 indexed citations
8.
Hărăguş, Mariana, Eric Lombardi, & Arnd Scheel. (2005). Spectral stability of wave trains in the Kawahara equation. Journal of Mathematical Fluid Mechanics. 8(4). 482–509. 25 indexed citations
9.
Iooss, Gérard & Eric Lombardi. (2004). Normal forms with exponentially small remainder: application to homoclinic connections for the reversible 0 2 + i ω resonance. Comptes Rendus Mathématique. 339(12). 831–838. 10 indexed citations
10.
Iooss, Gérard & Eric Lombardi. (2004). Polynomial normal forms with exponentially small remainder for analytic vector fields. Journal of Differential Equations. 212(1). 1–61. 37 indexed citations
11.
Lombardi, Eric & Gérard Iooss. (2003). Gravity solitary waves with polynomial decay to exponentially small ripples at infinity. Annales de l Institut Henri Poincaré C Analyse Non Linéaire. 20(4). 669–704. 3 indexed citations
12.
Iooss, Gérard, et al.. (2002). Gravity travelling waves for two superposed fluid layers, one being of infinite depth: a new type of bifurcation. Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 360(1799). 2245–2336. 9 indexed citations
14.
Lombardi, Eric. (2000). Oscillatory Integrals and Phenomena Beyond all Algebriac Orders. Lecture notes in mathematics. 36 indexed citations
15.
Lombardi, Eric. (2000). Oscillatory integrals and phenomena beyond all algebraic orders. 39 indexed citations
16.
Lombardi, Eric. (1999). Exponential asymptotics of bi-oscillatory integrals. Application to the problem of persistence of homoclinic connections for the (iω0)2iω1 resonance. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 328(3). 209–214. 2 indexed citations
17.
Lombardi, Eric. (1999). Non-persistence of Homoclinic Connections for Perturbed Integrable Reversible Systems. Journal of Dynamics and Differential Equations. 11(1). 129–208. 10 indexed citations
18.
Lombardi, Eric. (1999). Exponential asymptotics of oscillatory integrals. Application to the problem of persistence of homoclinic connections for the 02iω resonance. Comptes Rendus de l Académie des Sciences - Series I - Mathematics. 328(2). 111–116. 1 indexed citations
19.
Lombardi, Eric. (1997). Orbits Homoclinic to Exponentially Small Periodic Orbits for a Class of Reversible Systems. Application to Water Waves. Archive for Rational Mechanics and Analysis. 137(3). 227–304. 45 indexed citations
20.
Lombardi, Eric. (1996). Homoclinic orbits to small periodic orbits for a class of reversible systems. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 126(5). 1035–1054. 18 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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