CEREMADE
Fejoz Jacques
Full Professor
Office : B540
Biography
Jacques Fejoz is Professor of Mathematics at the University Paris Dauphine. His research focuses on the Theory of Dynamical Systems and Celestial Mechanics. Currently he is chair of the department of applied mathematics and computer science.
Publications
Articles
Arnaud M-C., Fejoz J. (2024), Invariant submanifolds of conformal symplectic dynamics, Journal de l'école Polytechnique. Mathématiques, vol. 11, p. 159-185
Clarke A., Fejoz J., Guardia M. (2024), A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes, Archive for Rational Mechanics and Analysis, vol. 248
Fejoz J., Guardia M. (2023), A Remark on the Onset of Resonance Overlap, Regular and Chaotic Dynamics, vol. 28, p. 578-584
Clarke A., Fejoz J., Guardia M. (2023), Topological shadowing methods in Arnold diffusion: weak torsion and multiple time scales, Nonlinearity, vol. 36, n°1
Caillau J-B., Fejoz J., Orieux M., Roussarie R. (2022), On Singularities of Minimum Time Control-Affine Systems, SIAM Journal on Control and Optimization, vol. 60, n°2, p. 1143-1162
Bounemoura A., Féjoz J. (2019), KAM, α -Gevrey regularity and the α -Bruno-Rüssmann condition, Annali della Scuola Normale Superiore di Pisa, vol. 19, n°4, p. 1225-1279
Orieux M., Caillau J-B., Féjoz J., Combot T. (2018), Non-integrability of the minimum-time Kepler problem, Journal of Geometry and Physics, vol. 132, n°Octobre 2018, p. 452-459
Féjoz J., Montgomery R., Knauf A. (2017), Lagrangian Relations and Linear Point Billiards, Nonlinearity, vol. 30, n°4, p. 1326-1355
Féjoz J., Guardia M. (2016), Secular instability in the spatial three-body problem, Archive for Rational Mechanics and Analysis, vol. 221, n°1, p. 335–362
Féjoz J., Guardia M., Kaloshin V., Roldan P. (2016), Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem, Journal of the European Mathematical Society, vol. 18, n°10, p. 2313-2401
Féjoz J. (2013), On Action-angle coordinates and the Poincaré Coordinates, Regular and Chaotic Dynamics, vol. 18, n°6, p. 708-723
Féjoz J. (2013), On "Arnold's theorem" on the stability of the solar system, Discrete and Continuous Dynamical Systems, vol. 33, n°8, p. 3555-3565
Féjoz J. (2012), A proof of the invariant torus theorem of Kolmogorov, Regular and Chaotic Dynamics, vol. 17, n°1, p. 1-5
Garay M., Féjoz J. (2010), Un théorème sur les actions de groupes de dimension infinie, Comptes rendus. Mathématique, vol. 348, n°7-8, p. 427-430
Féjoz J., Chenciner A. (2009), Unchained polygons and the N-body problem, Regular and Chaotic Dynamics, vol. 14, n°1, p. 64-115
Chenciner A., Féjoz J. (2008), The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium, Discrete and Continuous Dynamical Systems. Series B, vol. 10, n°2-3, p. 421-438
Montgomery R., Féjoz J., Chenciner A. (2005), Rotating Eights: I. The three Γi families, Nonlinearity, vol. 18, n°3, p. 1407-1424
Féjoz J., Chenciner A. (2005), L'équation aux variations verticales d'un équilibre relatif comme source de nouvelles solutions périodiques du problème des N corps, Comptes rendus. Mathématique, vol. 340, n°8, p. 593-598
Féjoz J. (2004), Démonstration du ‘théorème d'Arnold’ sur la stabilité du système planétaire (d'après Herman), Ergodic Theory and Dynamical Systems, vol. 24, n°5, p. 1521-1582
Féjoz J., Kaczmarek L. (2004), Sur le théorème de Bertrand (d'après Michael Herman), Ergodic Theory and Dynamical Systems, vol. 24, n°5, p. 1583-1589
Féjoz J. (2002), Global Secular Dynamics in the Planar Three-Body Problem, Celestial Mechanics and Dynamical Astronomy, vol. 84, n°2, p. 159-195
Féjoz J. (2002), Quasiperiodic motions in the planar three-body problem, Journal of Differential Equations, vol. 183, n°2, p. 303-341
Féjoz J. (2001), Averaging the planar three-body problem in the neighborhood of double inner collisions, Journal of Differential Equations, vol. 175, n°1, p. 175-187
Ouvrages
Bounemoura A., Féjoz J. (2021), Hamiltonian perturbation theory for ultra-differentiable functions, Paris: Memoirs of the American Mathematical Society, 89 p.
Chapitres d'ouvrage
Féjoz J. (2016), Introduction to KAM theory, with a view to celestial mechanics, in J.-B. Caillau, M. Bergounioux, G. Peyré, C. Schnörr, T. Haberkorn, Variational Methods In Imaging and Geometric Control De Gruyter, p. 387-433
Féjoz J. (2015), The N-body problem, in Alessandra Celletti, Celestial Mechanics, Paris: UNESCO, p. 126-167
Féjoz J. (2013), Le problème de la stabilité du Système solaire, de Lagrange à nos jours, in Pierre Pansu, 200 ans après Lagrange IEEE - Institute of Electrical and Electronics Engineers, p. 1-30
Communications avec actes
Féjoz J. (2005), About M. Herman's proof of 'Arnold's Theorem' in celestial mechanics, in Zehnder, Eduard, Workshop on Dynamical Systems, Oberwolfach, Mathematisches Forschungsinstitut Oberwolfach, 56 p.
Communications sans actes
Féjoz J. (2011), Introduction to KAM Theory, Ciclo di Lezioni - Università degli Studi di Milano-Bicocca, Milan, Italie
Prépublications / Cahiers de recherche
Arnaud M-C., Féjoz J. (2021), Invariant submanifolds of conformal sympletic dynamics, Paris, Cahier de recherche CEREMADE, Université Paris Dauphine-PSL, 11 p.
Guardia M., Roldan P., Kaloshin V., Féjoz J. (2011), Diffusion along mean motion resonance in the restricted planar three-body problem, Paris, Université Paris-Dauphine, 68 p.
Féjoz J. (2010), A simple proof of the invariant torus theorem, Paris, Université Pierre et Marie Curie, 19 p.
Féjoz J. (2006), Errata de la Démonstration du "théorème d'Arnold'' et addendum, Paris, Université Pierre et Marie Curie, 5 p.