Papers and Preprints

Authors Title (click to download) Publication Data
F. Abdenur Generic robustness of spectral decompositions Annales Scientifiques de l'École Normale Superieure 36, pp. 213-224, 2003
F. Abdenur  Attractors of generic diffeomorphims are persistent Nonlinearity 16, pp. 301-312, 2004 
F. Abdenur, A. Avila, and J. Bochi Robust transitivity and topological mixing for C1 flows  Proceedings of the American Mathematical Society 132, pp 699-705, 2004 
 F. Abdenur, Ch. Bonatti, and L. J. Diaz Nonwandering sets with nonempty interior Nonlinearity 17, pp. 175-191, 2004
 F. Abdenur,  Ch. Bonatti, S. Crovisier, and L. J. Diaz   Generic diffeomorphisms of compact surfaces Fundamenta Mathematicae 187, pp. 127-159, 2005
F. Abdenur,  Ch. Bonatti, and S. Crovisier  Global dominated splittings and the C1Newhouse phenomenon Proceedings of the American Mathematical Society 134, pp. 2229-2237, 2006 
F. Abdenur and L. J. Diaz Pseudo-orbit shadowing in the C1 topology  Discrete and Continuous Dynamical Systems 17, pp. 223-245, 2007 
F. Abdenur,  Ch. Bonatti, S. Crovisier, L. J. Diaz, and L. Wen  Periodic points and homoclinic classes  Ergodic Theory and Dynamical Systems 27, pp. 1-22, 2007
F. Abdenur, Ch. Bonatti, and S. Crovisier  Nonuniform hyperbolicity for C1 generic diffeomorphisms  Israel Journal of Mathematics 183, pp. 1-60, 2011


Submitted or in progress

Authors Title (click to download) Current Status
F. Abdenur and S. Crovisier Transitivity and topological mixing for C1 diffeomorphisms  submitted for publication
F. Abdenur and M. Andersson   Ergodic theory of generic continuous maps  in progress
F. Abdenur and M. Viana Flavors of partial hyperbolicity  in progress
F. Abdenur and S. Crovisier Geometric mechanius A geometric mechanism that essentially characterizes partially hyperbolic robust transitivity (tentative title)  in progress