Abed Bounemoura.
Current situation: Member at the IAS,
School of Mathematics, Einstein Drive, Princeton, NJ 08540, USA
Email: abed@ias.edu
(you can always reach me at abedbou@gmail.com)
CV
(March 2012)
and PhD
thesis (September 2010)
Papers
14. A
Diophantine duality and applications to
perturbation of quasi-periodic motions,
with S. Fischler, to
be submitted.
13. A
geometrical proof of
the persistence of normally hyperbolic submanifolds, with
P. Berger, submitted.
12. A
more applicable notion of effective stability for Hamiltonian systems,
Comptes Rendus de l'Académie des Sciences, Mécanique
(2012), to appear.
11. Optimal
stability and
instability for near-linear Hamiltonians, Annales Henri
Poincaré, 13 (2012), no. 4, 857-868.
10.
An
example of instability in high-dimensional Hamiltonian systems,
International
Mathematics
Research
Notices, 2012 (2012), no. 3, 685-716.
9.
Instability
for a priori unstable Hamiltonian systems: a dynamical approach,
with E. Pennamen,
Discrete and Continuous Dynamical Systems - Series A,
32 (2012),
no. 3, 753-793.
8. Transition
between stability and
instability for Hamiltonian systems close to integrable,
Oberwolfach Reports (2011), in Dynamische Systeme, Volume 8, Issue 3,
1913-1970
7.
Generic
Nekhoroshev theory without small divisors,
with L. Niederman,
Annales de l'Institut Fourier (2011), to appear.
6.
Effective
stability for Gevrey and finitely differentiable prevalent Hamiltonians,
Communications in Mathematical Physics, 307 (2011), no. 1, 157-183.
5. Generic
super-exponential stability of invariant tori in Hamiltonian systems, Ergodic
Theory and Dynamical Systems, 31 (2011), no. 5,
1287-1303.
4.
Improved
exponential stability for
near-integrable Hamiltonian systems,
with J.-P. Marco,
Nonlinearity, 24 (2011), no.1, 97-112.
3.
Nekhoroshev
estimates for finitely differentiable quasi-convex Hamiltonians, Journal of Differential
Equations, 249
(2010), no. 11, 2905-2920.
2.
Stabilité
et instabilité des
systèmes hamiltoniens presque-intégrables, PhD
thesis, Université Paris Sud Orsay (2010), 219pp.
1.
Simplicité
des groupes de
transformations de surfaces, Ensaios Matematicos,
Sociedade Braseileira de Matematica, (2008), volume 14, 1-143.