Ph.D. Thesis

Persistance des stratifications de laminations normalement dilaté , Université Paris Sud - XI.

Advisor: Jean-Christophe Yoccoz.

Defended in June 22, 2007.

Papers

P. Berger, Persistence of stratifications of normally expanded laminations, in Comptes rendus Mathématique (CRAS 04/07), 6 p.

P. Berger, Persistence of laminations, Bull Braz Math Soc, New series, 41(2), 259-319.

P. Berger, Persistence of stratifications of normally expanded laminations, to appear in "Mémoire de la société mathématique de France'', 130 p.

P. Berger, Persistance des sous-variétés à bord et à coins normalement dilatées, Ann. Inst. Fourier, Grenoble 61, 1 (2011) 79-104, 23 p.

P. Berger, Structural stability of attractor-repellor endomorphisms with singularities, Ergodic Theory and Dynamical Systems / Volume 32 / Issue 01 / December 2011, p 1-33.

P. Berger, Abundance of one dimensional non uniformly hyperbolic attractors for endomorphisms, Proceeding for Dynamische Systeme congress at MFO, 3 p.

 P. Berger-A. Rovella, On the inverse limit of endomorphisms, Annales de l’Institut Henri Poincare (C) Non Linear Analysis, accepted manuscript.

Pre-prints

 Persistent bundles over a two dimensional compact set, 25 p.

Abundance of one dimensional non uniformly hyperbolic attractors for endomorphisms, 111 p.

P. Berger- A. Bounemoura, A geometrical proof of the persistence of normally hyperbolic submanifolds 17p.

P. Berger, Properties of the maximal entropy measure and geometry of Hénon attractors, 53 p.

P. Berger- P.D. Carasco, Non uniformly hyperbolic attractors derived from the standard map, arxiv 20p.

P. Berger , A. Laier, L. Velho, An image-space algorithm for immersive views in 3-manifolds and orbifolds, 19p.

Notes

Differential equation and chaos, introductory book for undergraduate students, 61 p.

La théorie du chaos justifie-t-elle un usage constant des statistiques ?, gazette du laga, 2012