Papers

Papers and Preprints

Click on the title of the paper for a PDF/PS/DVI file.

Published

        1) F. Abdenur, Generic robustness of spectral decompositions, Annales Scientifiques de l'École Normale Superieure 36, pp. 213-224, 2003.

        2) F. Abdenur, Attractors of generic diffeomorphims are persistent, Nonlinearity 16, pp. 301-312, 2004.

        3) 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.

        4) F. Abdenur, Ch. Bonatti, and L. J. Diaz, Nonwandering sets with nonempty interior, Nonlinearity 17, pp. 175-191, 2004.

        5) F. Abdenur, Ch. Bonatti, S. Crovisier, and L. J. Diaz, Generic diffeomorphisms of compact surfaces, Fundamenta Mathematicae 187, pp. 127--159, 2005.

        6) 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.

         7) F. Abdenur and L. J. Diaz, Pseudo-orbit shadowing in the C¹ topology, Discrete and Continuous Dynamical Systems 17, pp. 223-245, 2007.

         8) 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.

Submitted or in progress

        9) F. Abdenur, Ch. Bonatti, and S. Crovisier, Nonuniform hyperbolicity of C¹ generic diffeomorphisms , to appear in Israel Journal of Mathematics .

        10) F. Abdenur and M. Viana, Flavors of partial hyperbolicity, submitted.

        11) F. Abdenur, A. Baraviera, J. Bochi, and K. Gelfert, Horseshoes and entropy in arbitrary dimension, in progress.

        12) F. Abdenur and M. Andersson, Ergodic theory of C⁰ -generic maps, in progress.

        13) F. Abdenur, L. J. Díaz, and E. R. Pujals, Essential stability (tentative title), in progress.

        14) F. Abdenur and C. Crovisier, Dynamics of partially hyperbiolic robustly transitive diffeomorphisms (tentative title), in progress.

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