Liste de mes publications de 1985 à aujourd’hui  (List of my publications 1985- today)

 

  1. 1.Bonatti, Christian; Carnevale, João; Triestino, Michele Non-locally discrete actions on the circle with at most N fixed points.  Math. Z. 307, No. 1, Paper No. 6, 18 p. (2024). 

  2. 2.Barthelmé, Thomas; Bonatti, Christian; Mann, Kathryn Promoting Prelaminations.  Preprint ArXiv:2406.18917  (2024) 

  3. 3.Bonatti, Christian; Diaz, Lorenzo J.; Gelfert, Katrin Heterodimensional cycles of hyperbolic ergodic measures. ArXiv:2405.12686 Preprint, arXiv:2405.12686  (2024). 

  4. 4.Bonatti, Christian; Iakovoglou, Ioannis Anosov flows on 3-manifolds: the surgeries and the foliations.  Ergodic Theory Dyn. Syst. 43, No. 4, 1129-1188 (2023). 

  5. 5.Bonatti, Christian Action on the circle at infinity of foliations of ℝ2    arXiv:2301.04530 (2023) Enseign. Math. (2024), published online first   DOI 10.4171/LEM/1086 

  6. 6.Alanís-López, L.; Artal, E.; Bonatti, C.; Gómez-Mont, X.; González Villa, M.; Portilla Cuadrado, P. On a quadratic form associated with a surface automorphism and its applications to singularity theory.  Indag. Math., New Ser. 33, No. 4, 816-843 (2022). 

  7. 7.Asaoka, Masayuki; Bonatti, Christian; Marty, Théo Oriented Birkhoff sections of Anosov flows. Preprint, arXiv:2212.06483   (2022). 

  8. 8.Bonatti, Christian; Shinohara, Katsutoshi Aperiodic chain recurrence classes of C1-generic diffeomorphisms. Preprint, arXiv:2209.13249  (2022). 

  9. 9.Bonatti, Christian; Shinohara, Katsutoshi A mechanism for ejecting a horseshoe from a partially hyperbolic chain recurrence class. ArXiv:2209.13245 Ergodic Theory and Dynamical Systems. Published online 2023:1-63. doi:10.1017/etds.2023.76   

  10. 10.Bonatti, Christian; Díaz, Lorenzo J.; Kwietniak, Dominik Robust existence of nonhyperbolic ergodic measures with positive entropy and full support.  Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 22, No. 4, 1643-1672 (2021). 

  11. 11.Bonatti, Christian; Da Luz, Adriana Star flows and multisingular hyperbolicity.  J. Eur. Math. Soc. (JEMS) 23, No. 8, 2649-2705 (2021). 

  12. 12.Bonatti, Christian; Pinsky, Tali Lorenz attractors and the modular surface.  Nonlinearity 34, No. 6, 4315-4331 (2021). 

  13. 13.Barthelmé, Thomas; Bonatti, Christian; Gogolev, Andrey; Rodriguez Hertz, Federico Anomalous Anosov flows revisited.  Proc. Lond. Math. Soc. (3) 122, No. 1, 93-117 (2021). 

  14. 14.Barros, Diego; Bonatti, Christian; Pacifico, Maria Jose Upper, down, two-sided Lorenz attractor, collisions, merging and switching. ArXiv:2101.07391 Ergodic Theory and Dynamical Systems. Published online 2024:1-45. doi:10.1017/etds.2024.8  

  15. 15.Bonatti, Christian; Eskin, Alex; Wilkinson, Amie Projective cocycles over SL(2,ℝ)actions: measures invariant under the upper triangular group.  Crovisier, Sylvain (ed.) et al., Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz. Volume I. Paris: Société Mathématique de France (SMF). Astérisque 415, 157-180 (2020). 

  16. 16.Bonatti, Christian; Kim, Sang-hyun; Koberda, Thomas; Triestino, Michele Small C1actions of semidirect products on compact manifolds. Algebr. Geom. Topol. 20, No. 6, 3183-3203 (2020). 

  17. 17.Bonatti, Christian; Gogolev, Andrey; Hammerlindl, Andy; Potrie, Rafael Anomalous partially hyperbolic diffeomorphisms. III: Abundance and incoherence.  Geom. Topol. 24, No. 4, 1751-1790 (2020). 

  18. 18.Bonatti, Christian; Zhang, Jinhua Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center.  Sci. China, Math. 63, No. 9, 1647-1670 (2020). 

  19. 19.Alvarez, Sébastien; Bonatti, Christian; Santiago, Bruno Existence of common zeros for commuting vector fields on 3-manifolds. II. Solving global difficulties.  Proc. Lond. Math. Soc. (3) 121, No. 4, 828-875 (2020). 

  20. 20.Bonatti, Christian; Bowden, Jonathan; Potrie, Rafael Some remarks on projective Anosov flows in hyperbolic 3-manifolds.  Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 359-369 (2020). 

  21. 21.Bonatti, Christian; Gómez-Mont, Xavier; Martínez, Matilde Foliated hyperbolicity and foliations with hyperbolic leaves.  Ergodic Theory Dyn. Syst. 40, No. 4, 881-903 (2020). 

  22. 22.Bonatti, Christian; Minkov, Stanislav; Okunev, Alexey; Shilin, Ivan Anosov diffeomorphism with a horseshoe that attracts almost any point.  Discrete Contin. Dyn. Syst. 40, No. 1, 441-465 (2020). 

  23. 23.Bonatti, C.; Grines, V.; Pochinka, O. Topological classification of Morse-Smale diffeomorphisms on 3-manifolds.  Duke Math. J. 168, No. 13, 2507-2558 (2019). 

  24. 24.Bonatti, Christian; Zhang, Jinhua On the existence of non-hyperbolic ergodic measures as the limit of periodic measures.  Ergodic Theory Dyn. Syst. 39, No. 11, 2932-2967 (2019). 

  25. 25.Bonatti, Christian; Lodha, Yash; Triestino, MicheleHyperbolicity as an obstruction to smoothability for one-dimensional actions.  Geom. Topol. 23, No. 4, 1841-1876 (2019). 

  26. 26.Bonatti, Ch.; Grines, V.; Laudenbach, F.; Pochinka, O.Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds.  Ergodic Theory Dyn. Syst. 39, No. 9, 2403-2432 (2019). 

  27. 27.Bonatti, Christian; Zhang, Jinhua Periodic measures and partially hyperbolic homoclinic classes.  Trans. Am. Math. Soc. 372, No. 2, 755-802 (2019). 

  28. 28.Bonatti, Christian; Díaz, Lorenzo J.; Bochi, Jairo A criterion for zero averages and full support of ergodic measures.  Mosc. Math. J. 18, No. 1, 15-61 (2018).  

  29. 29.Bonatti, Christian; da Luz, Adriana Weak hyperbolic structures and robust properties of diffeomorphisms and flows.  Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 389-405 (2018). 

  30. 30.Bochi, Jairo; Bonatti, Christian; Gelfert, Katrin Dominated Pesin theory: convex sum of hyperbolic measures. Isr. J. Math. 226, No. 1, 387-417 (2018). 

  31. 31.Bonatti, Christian; Potrie, Rafael Many intermingled basins in dimension 3.  Isr. J. Math. 224, 293-314 (2018). 

  32. 32.Bonatti, Christian; Shinohara, Katsutoshi Volume hyperbolicity and wildness.  Ergodic Theory Dyn. Syst. 38, No. 3, 886-920 (2018). 

  33. 33.Bonatti, Christian; Santiago, Bruno Existence of common zeros for commuting vector fields on three manifolds. Ann. Inst. Fourier 67, No. 4, 1741-1781 (2017). 

  34. 34.Bonatti, C.; Minkov, S. S.; Okunev, A. V.; Shilin, I. S. A C1Anosov diffeomorphism with a horseshoe that attracts almost any point. Funct. Anal. Appl. 51, No. 2, 144-147 (2017); translation from Funkts. Anal. Prilozh. 51, No. 2, 83-86 (2017). 

  35. 35.Bonatti, Ch.; Grines, V. Z.; Pochinka, Olga V. Realization of Morse-Smale diffeomorphisms on 3-manifolds. Proc. Steklov Inst. Math. 297, 35-49 (2017); translation from Tr. Mat. Inst. Steklova 297, 46-61 (2017). 

  36. 36.Bonatti, C.; Monteverde, Ignacio; Navas, Andres; Rivas, Cristobal Rigidity for C1 actions on the interval arising from hyperbolicity. I: Solvable groups.  Math. Z. 286, No. 3-4, 919-949 (2017). 

  37. 37.Bonatti, Christian; Zhang, Jinhua Transverse foliations on the torus 𝕋2 and partially hyperbolic diffeomorphisms on 3-manifolds.  Comment. Math. Helv. 92, No. 3, 513-550 (2017). 

  38. 38.Béguin, François; Bonatti, Christian; Yu, Bin Building Anosov flows on 3-manifolds.  Geom. Topol. 21, No. 3, 1837-1930 (2017). 

  39. 39.Bonatti, Christian; Eynard-Bontemps, Hélène Connectedness of the space of smooth actions of ℤn on the interval. Ergodic Theory Dyn. Syst. 36, No. 7, 2076-2106 (2016). 

  40. 40.Bonatti, Christian; Crovisier, Sylvain Center manifolds for partially hyperbolic sets without strong unstable connections.  J. Inst. Math. Jussieu 15, No. 4, 785-828 (2016). 

  41. 41.Bonatti, Christian; Parwani, Kamlesh; Potrie, Rafael Anomalous partially hyperbolic diffeomorphisms. I: Dynamically coherent examples.  Ann. Sci. Éc. Norm. Supér. (4) 49, No. 6, 1387-1402 (2016). 

  42. 42.Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wilkinson, A. What is …a blender?  Notices Am. Math. Soc. 63, No. 10, 1175-1178 (2016). 

  43. 43.Bonatti, Christian; Gogolev, Andrey; Potrie, Rafael Anomalous partially hyperbolic diffeomorphisms. II: Stably ergodic examples. Invent. Math. 206, No. 3, 801-836 (2016). 

  44. 44.Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J. Robust criterion for the existence of nonhyperbolic ergodic measures.  Commun. Math. Phys. 344, No. 3, 751-795 (2016). 

  45. 45.Bohnet, Doris; Bonatti, Christian Partially hyperbolic diffeomorphisms with a uniformly compact center foliation: the quotient dynamics. Ergodic Theory Dyn. Syst. 36, No. 4, 1067-1105 (2016). 

  46. 46.Beguin, F.; Bonatti, C.; Yu, B. A spectral-like decomposition for transitive Anosov flows in dimension three.  Math. Z. 282, No. 3-4, 889-912 (2016). 

  47. 47.Bonatti, Christian; Farinelli, Églantine Centralizers of C1-contractions of the half line. Groups Geom. Dyn. 9, No. 3, 831-889 (2015). 

  48. 48.Bonatti, Christian; Shinohara, Katsutoshi Flexible periodic points.Ergodic Theory Dyn. Syst. 35, No. 5, 1394-1422 (2015). 

  49. 49.Bonatti, Christian; Gan, Shaobo; Yang, Dawei Dominated chain recurrent class with singularities. (English)  Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 14, No. 1, 83-99 (2015). 

  50. 50.Bonatti, C.; Crovisier, S.; Gourmelon, N.; Potrie, R. Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes.  Trans. Am. Math. Soc. 366, No. 9, 4849-4871 (2014). 

  51. 51.Bonatti, Christian; Guelman, Nancy Smooth conjugacy classes of circle diffeomorphisms with irrational rotation number.  Fundam. Math. 227, No. 2, 129-162 (2014). 

  52. 52.Bochi, Jairo; Bonatti, Christian; Díaz, Lorenzo J. Robust vanishing of all Lyapunov exponents for iterated function systems.  Math. Z. 276, No. 1-2, 469-503 (2014). 

  53. 53.Bonatti, Christian; Crovisier, Sylvain; Shinohara, Katsutoshi The C1+α hypothesis in Pesin theory revisited. J. Mod. Dyn. 7, No. 4, 605-618 (2013). 

  54. 54.Bonatti, Christian; Li, Ming; Yang, DaweiA robustly chain transitive attractor with singularities of different indices.  J. Inst. Math. Jussieu 12, No. 3, 449-501 (2013). 

  55. 55.Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Gourmelon, N. Internal perturbations of homoclinic classes: non-domination, cycles, and self-replication.  Ergodic Theory Dyn. Syst. 33, No. 3, 739-776 (2013). 

  56. 56.Bonatti, Christian; Li, Ming; Yang, Dawei On the existence of attractors.  Trans. Am. Math. Soc. 365, No. 3, 1369-1391 (2013). 

  57. 57.Bonatti, Christian; Díaz, Lorenzo J. Abundance of C1-robust homoclinic tangencies.  Trans. Am. Math. Soc. 364, No. 10, 5111-5148 (2012). 

  58. 58.Bochi, J.; Bonatti, C. Perturbation of the Lyapunov spectra of periodic orbits. Proc. Lond. Math. Soc. (3) 105, No. 1, 1-48 (2012). 

  59. 59.Bonatti, C.; Díaz, L. J.; Kiriki, S. Stabilization of heterodimensional cycles.  Nonlinearity 25, No. 4, 931-960 (2012). 

  60. 60.Bonatti, Ch.; Díaz, L. J. Fragile cycles. J. Differ. Equations 252, No. 7, 4176-4199 (2012). 

  61. 61.Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain Nonuniform hyperbolicity for C1-generic diffeomorphisms.  Isr. J. Math. 183, 1-60 (2011). 

  62. 62.Bonatti, C. Towards a global view of dynamical systems, for the C1-topology.  Ergodic Theory Dyn. Syst. 31, No. 4, 959-993 (2011). 

  63. 63.Bonatti, C.; Hattab, H.; Salhi, E.; Vago, G. Hasse diagrams and orbit class spaces.  Topology Appl. 158, No. 6, 729-740 (2011). 

  64. 64.Bonatti, C.; Hattab, H.; Salhi, E. Quasi-orbit spaces associated to T0-spaces.  Fundam. Math. 211, No. 3, 267-291 (2011). 

  65. 65.Bonatti, Christian; Guelman, Nancy Axiom A diffeomorphisms derived from Anosov flows.  J. Mod. Dyn. 4, No. 1, 1-63 (2010). 

  66. 66.Bonatti, Christian; Díaz, Lorenzo J.; Gorodetski, Anton Non-hyperbolic ergodic measures with large support.  Nonlinearity 23, No. 3, 687-705 (2010). 

  67. 67.Bonatti, Ch.; Gómez-Mont, X.; Vila-Freyer, R. Statistical behaviour of the leaves of Riccati foliations.  Ergodic Theory Dyn. Syst. 30, No. 1, 67-96 (2010). 

  68. 68.Bonatti, Christian; Gan, Shaobo; Yang, Dawei On the hyperbolicity of homoclinic classes. Discrete Contin. Dyn. Syst. 25, No. 4, 1143-1162 (2009). 

  69. 69.Bonatti, Christian; Guelman, Nancy Transitive Anosov flows and Axiom-A diffeomorphisms. Ergodic Theory Dyn. Syst. 29, No. 3, 817-848 (2009). 

  70. 70.Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie The C1-generic diffeomorphism has trivial centralizer.  Publ. Math., Inst. Hautes Étud. Sci. 109, 185-244 (2009). 

  71. 71.Bonatti, Christian; Paris, Luis Roots in the mapping class groups.  Proc. Lond. Math. Soc. (3) 98, No. 2, 471-503 (2009). 

  72. 72.Bonatti, C.; Paoluzzi, L. 3-manifolds which are orbit spaces of diffeomorphisms. Topology 47, No. 2, 71-100 (2008). 

  73. 73.Bonatti, Christian; Crovisier, Sylvain; Vago, Gioia M.; Wilkinson, Amie Local density of diffeomorphisms with large centralizers. Ann. Sci. Éc. Norm. Supér. (4) 41, No. 6, 925-954 (2008). 

  74. 74.Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie C1-generic conservative diffeomorphisms have trivial centralizer. J. Mod. Dyn. 2, No. 2, 359-373 (2008). 

  75. 75.Bonatti, Christian; Díaz, Lorenzo J. Robust heterodimensional cycles and C1-generic dynamics. J. Inst. Math. Jussieu 7, No. 3, 469-525 (2008). 

  76. 76.Bonatti, Christian; Díaz, Lorenzo J.; Fisher, Todd Super exponential growth of the number of periodic orbits inside homoclinic classes.  Discrete Contin. Dyn. Syst. 20, No. 3, 589-604 (2008). 

  77. 77.Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie The centralizer of a C1-generic diffeomorphism is trivial. Electron. Res. Announc. Math. Sci. 15, 33-43 (2008). 

  78. 78.Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pochinka, O. V. Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices.  Proc. Steklov Inst. Math. 256, 47-61 (2007); translation from Tr. Mat. Inst. Steklova 256, 54-69 (2007). 

  79. 79.Bonatti, Christian; Gan, Shaobo; Wen, Lan On the existence of non-trivial homoclinic classes. Ergodic Theory Dyn. Syst. 27, No. 5, 1473-1508 (2007). 

  80. 80.Abdenur, F.; Bonatti, Ch.; Crovisier, S.; Díaz, L. J.; Wen, L. Periodic points and homoclinic classes.  Ergodic Theory Dyn. Syst. 27, No. 1, 1-22 (2007). 

  81. 81.Bonatti, Christian; Grines, Viacheslav; Pochinka, Olga Classification of Morse-Smale diffeomorphisms with the chain of saddles on 3-manifolds.  Walczak, Paweł (ed.) et al., Foliations 2005. Proceedings of the international conference, University of Łodź, Łodź, Poland, June 13–24, 2005. Hackensack, NJ: World Scientific (ISBN 981-270-074-9). 121-147 (2006).  

  82. 82.Bonatti, Christian; Gourmelon, Nikolas; Vivier, Thérèse Perturbations of the derivative along periodic orbits.  Ergodic Theory Dyn. Syst. 26, No. 5, 1307-1337 (2006). 

  83. 83.Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain Global dominated splittings and the C1-Newhouse phenomenon.  Proc. Am. Math. Soc. 134, No. 8, 2229-2237 (2006). 

  84. 84.Bonatti, C.; Grines, V. Z.; Pochinka, O. V. Classification of Morse-Smale diffeomorphisms with a finite set of heteroclinic orbits on 3-manifolds.  Proc. Steklov Inst. Math. 250, 1-46 (2005); translation from Tr. Mat. Inst. Steklova 250, 5-53 (2005). 

  85. 85.Abdenur, Flavio; Bonatti, Christian; Crovisier, Sylvain; Díaz, Lorenzo J. Generic diffeomorphisms on compact surfaces.  Fundam. Math. 187, No. 2, 127-159 (2005). 

  86. 86.Arnaud, Marie-Claude; Bonatti, Christian; Crovisier, Sylvain Generic symplectic dynamics. Ergodic Theory Dyn. Syst. 25, No. 5, 1401-1436 (2005). 

  87. 87.Bonatti, C.; Grines, V.; Pochinka, O. Classification of the simplest non-gradient-like diffeomorphisms on 3-manifolds. J. Math. Sci., New York 126, No. 4, 1267-1296 (2005). 

  88. 88.Bonatti, Christian; Wilkinson, Amie Transitive partially hyperbolic diffeomorphisms on 3-manifolds. Topology 44, No. 3, 475-508 (2005). 

  89. 89.Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective.  Encyclopaedia of Mathematical Sciences 102. Mathematical Physics 3. Berlin: Springer (ISBN 3-540-22066-6/hbk). xviii, 384 p. (2005). 

  90. 90.Bonatti, Christian; Franks, John A Hölder continuous vector field tangent to many foliations. Brin, Michael (ed.) et al., Modern dynamical systems and applications. Dedicated to Anatole Katok on his 60th birthday. Cambridge: Cambridge University Press (ISBN 0-521-84073-2/hbk). 299-306 (2004). 

  91. 91.Bonatti, Ch.; Grines, V. Z.; Pochina, O. V. Classification of Morse-Smale diffeomorphisms with finite sets of heteroclinic orbits on 3-manifolds.  Dokl. Math. 69, No. 3, 385-387 (2004); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 396, No. 4, 439-442 (2004). 

  92. 92.Bonatti, C.; Viana, M. Lyapunov exponents with multiplicity 1 for deterministic products of matrices.  Ergodic Theory Dyn. Syst. 24, No. 5, 1295-1330 (2004). 

  93. 93.Bonatti, Christian; Crovisier, Sylvain Recurrence and genericity. (Récurrence et généricité.) (French. English summary)  Invent. Math. 158, No. 1, 33-104 (2004). 

  94. 94.Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie Abundance of stable ergodicity.  Comment. Math. Helv. 79, No. 4, 753-757 (2004). 

  95. 95.Abdenur, Flavio; Bonatti, Christian; Díaz, Lorenzo J. Non-wandering sets with non-empty interiors.  Nonlinearity 17, No. 1, 175-191 (2004). 

  96. 96.Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E. Topological classification of gradient-like diffeomorphisms on 3-manifolds.  Topology 43, No. 2, 369-391 (2004). 

  97. 97.Bonatti, Christian Generic dynamics: hyperbolicity and transitivity. (Dynamiques génériques: hyperbolicité et transitivité.) (French) Bourbaki seminar. Volume 2001/2002. Exposes 894–908. Paris: Société Mathématique de France (ISBN 2-85629-149-X/pbk). Astérisque 290, 225-242, Exp. No. 904 (2003). 

  98. 98.Baraviera, Alexandre T.; Bonatti, Christian Removing zero Lyapunov exponents.  Ergodic Theory Dyn. Syst. 23, No. 6, 1655-1670 (2003). 

  99. 99.Bonatti, Christian; Díaz, Lorenzo J.; Pujals, Enrique R.; Rocha, Jorge Robustly transitive sets and heterodimensional cycles.  de Melo, Welington (ed.) et al., Geometric methods in dynamics (I). Volume in honor of Jacob Palis. In part papers presented at the international conference on dynamical systems held at IMPA, Rio de Janeiro, Brazil, July 2000, to celebrate Jacob Palis’ 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-138-4/pbk). Astérisque 286, 187-222 (2003). 

  100. 100.Bonatti, Christian; Dufraine, Emmanuel Topological equivalence of saddle connections in dimension 3. (Équivalence topologique de connexions de selles en dimension 3.) (French. English summary) Ergodic Theory Dyn. Syst. 23, No. 5, 1347-1381 (2003). 

  101. 101.Bonatti, C.; Díaz, L. J.; Pujals, E. R. A C1-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources. Ann. Math. (2) 158, No. 2, 355-418 (2003). 

  102. 102.Bonatti, Christian; Crovisier, Sylvain Recurrence and genericity.  C. R., Math., Acad. Sci. Paris 336, No. 10, 839-844 (2003). 

  103. 103.Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices.  Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 4, 579-624 (2003). 

  104. 104.Bonatti, Christian; Díaz, Lorenzo J.; Ures, Raúl Minimality of strong stable and unstable foliations for partially hyperbolic diffeomorphisms. J. Inst. Math. Jussieu 1, No. 4, 513-541 (2002). 

  105. 105.Bonatti, Christian; Dıaz, Lorenzo J. On maximal transitive sets of generic diffeomorphisms. Publ. Math., Inst. Hautes Étud. Sci. 96, 171-197 (2002). 

  106. 106.Bonatti, Christian; Villadelprat, Jordi The index of stable critical points.  Topology Appl. 126, No. 1-2, 263-271 (2002). 

  107. 107.Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pécou, E. On Morse-Smale diffeomorphisms without heteroclinic intersections on three-manifolds. Proc. Steklov Inst. Math. 236, 58-69 (2002); translation from Tr. Mat. Inst. Steklova 236, 66-78 (2002). 

  108. 108.Bonatti, Christian; Grines, Viatcheslav; Pécou, Elisabeth Two-dimensional links and diffeomorphisms on 3-manifolds.  Ergodic Theory Dyn. Syst. 22, No. 3, 687-710 (2002). 

  109. 109.Bonatti, C. C1-generic dynamics: Tame and wild behaviour.  Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor (ISBN 7-04-008690-5/3 vol. Set). 265-277 (2002). 

  110. 110.Bonatti, C.; Grines, V.; Medvedev, V.; Pécou, E. Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.  Topology Appl. 117, No. 3, 335-344 (2002). 

  111. 111.Béguin, F.; Bonatti, C. Flots de Smale en dimension 3: Présentations finies de voisinages invariants d’ensembles selles. Topology 41, No. 1, 119-162 (2002). 

  112. 112.Bonatti, C.; Grines, V.; Langevin, R. Dynamical systems in dimension 2 and 3: conjugacy invariants and classification.  Comput. Appl. Math. 20, No. 1-2, 11-50 (2001). 

  113. 113.Bonatti, C.; Grines, V. Z.; Medvedev, V. S.; Pecou, E. On the topological classification of gradient-like diffeomorphisms without heteroclinic curves on three-dimensional manifolds. Dokl. Math. 63, No. 2, 161-164 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 377, No. 2, 151-155 (2001). 

  114. 114.Bonatti, Christian; Gómez-Mont, Xavier Sur le comportement statistique des feuilles de certains feuilletages holomorphes. Ghys, Étienne (ed.) et al., Essays on geometry and related topics. Mémoires dédiés à André Haefliger. Vol. 1. Genève: L’Enseignement Mathématique. Monogr. Enseign. Math. 38, 15-41 (2001). 

  115. 115.Bonatti, Ch.; Pumariño, A.; Viana, M. Lorenz attractors with arbitrary expanding dimension. Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 1. Singapore: World Scientific. 39-44 (2000). 

  116. 116.Bonatti, C.; Grines, V. Knots as topological invariants for gradient-like diffeomorphisms of the sphere S3  J. Dyn. Control Syst. 6, No. 4, 579-602 (2000). 

  117. 117.Bonatti, Christian; Díaz, Lorenzo J.; Turcat, Gaël Pas de “Shadowing Lemma” pour les dynamiques partiellement hyperboliques. C. R. Acad. Sci., Paris, Sér. I, Math. 330, No. 7, 587-592 (2000). 

  118. 118.Alves, José F.; Bonatti, Christian; Viana, Marcelo SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Invent. Math. 140, No. 2, 351-398 (2000). 

  119. 119.Bonatti, Christian; Viana, Marcelo SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Isr. J. Math. 115, 157-193 (2000). 

  120. 120.Béguin, F.; Bonatti, C.; Vietez, J. L. Construction de flots de Smale en dimension 3. Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 3, 369-410 (1999). 

  121. 121.Baladi, Viviane; Bonatti, Christian; Schmitt, Bernard Abnormal escape rates from nonuniformly hyperbolic sets.  Ergodic Theory Dyn. Syst. 19, No. 5, 1111-1125 (1999). 

  122. 122.Bonatti, Christian; Díaz, Lorenzo Connexions hétéroclines et généricité d’une infinité de puits et de sources. Ann. Sci. Éc. Norm. Supér. (4) 32, No. 1, 135-150 (1999). 

  123. 123.Bonatti, C.; Kolev, B. Surface homeomorphisms with zero-dimensional singular set. Topology Appl. 90, No. 1-3, 69-95 (1998). 

  124. 124.Bonatti, C.; Langevin, R. [Jeandenans, E.] Difféomorphismes de Smale des surfaces. Avec la collaboration d’Emmanuelle Jeandenans.  Astérisque. 250. , viii, 235 p. (1998). 

  125. 125.Bonatti, Ch.; Díaz, L. J.; Vuillemin, F. Cubic tangencies and hyperbolic diffeomorphisms. Bol. Soc. Bras. Mat., Nova Sér. 29, No. 1, 99-144 (1998). 

  126. 126.Bonatti, Christian; Pumariño, António; Viana, Marcelo Lorenz attractors with arbitrary expanding dimension.  C. R. Acad. Sci., Paris, Sér. I, Math. 325, No. 8, 883-888 (1997). 

  127. 127.Bonatti, Christian; Díaz, Lorenzo J. Persistent nonhyperbolic transitive diffeomorphisms. Ann. Math. (2) 143, No. 2, 357-396 (1996). 

  128. 128.Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo Discontinuity of the Hausdorff dimension of hyperbolic sets.  C. R. Acad. Sci., Paris, Sér. I 320, No. 6, 713-718 (1995). 

  129. 129.Bonatti, C.; Teixeira, M. A. Topological equivalence of diffeomorphisms and curves.  J. Differ. Equations 118, No. 2, 371-379 (1995). 

  130. 130.Bonatti, Christian; Gambaudo, Jean Marc; Lion, Jean Marie; Tresser, Charles Wandering domains for infinitely renormalizable diffeomorphisms of the disk. Proc. Am. Math. Soc. 122, No. 4, 1273-1278 (1994). 

  131. 131.Bonatti, Christian; Langevin, Remi Un exemple de flot d’Anosov transitif transverse à un tore et non conjugué à une suspension. Ergodic Theory Dyn. Syst. 14, No. 4, 633-643 (1994). 

  132. 132.Bonatti, Ch.; Gómez-Mont, X. The index of holomorphic vector fields on singular varieties. Camacho, C. (ed.) et al., Complex analytic methods in dynamical systems. Proceedings of the congress held at Instituto de Matemática Pura e Aplicada, IMPA, Rio de Janeiro, Brazil, January 1992. Paris: Société Mathématique de France, Astérisque. 222, 9-35 (1994). 

  133. 133.Bonatti, Christian; Firmo, Sebastião  Feuilles compactes d’un feuilletage générique en codimension 1.)  Ann. Sci. Éc. Norm. Supér. (4) 27, No. 4, 407-461 (1994). 

  134. 134.Bonatti, C. Feuilletages proches d’une fibration. Ensaios Matemáticos 5. Rio de Janeiro: Sociedade Brasileira de Matemática. v, 250 p. (1993). 

  135. 135.Bonatti, Christian; Kolev, Boris Existence de points fixes enlacés à une orbite périodique d’un homéomorphisme du plan. Ergodic Theory Dyn. Syst. 12, No. 4, 677-682 (1992). 

  136. 136.Bonatti, Christian Champs de vecteurs analytiques commutants, en dimension 3 ou 4: Existence de zeros communs. Bol. Soc. Bras. Mat., Nova Sér. 22, No. 2, 215-247 (1992). 

  137. 137.Bonatti, C.; Langevin, R.; Moussu, R. Feuilletages de CP(n) : De l’holonomie hyperbolique pour les minimaux exceptionnels. Publ. Math., Inst. Hautes Étud. Sci. 75, 123-134 (1992). 

  138. 138.Bonatti, Christian Difféomorphismes commutants des surfaces et stabilité des fibrations en tores.  Topology 29, No. 1, 101-126 (1990). 

  139. 139.Bonatti, Christian Stabilité de feuilles compactes pour les feuilletages définis par des fibrations.  Topology 29, No. 2, 231-245 (1990).  

  140. 140.Bonatti, C.; Haefliger, A. Déformations de feuilletages.  Topology 29, No. 2, 205-229 (1990). 

  141. 141.Bonatti, Christian Un point fixe commun pour des difféomorphismes commutants de S2 Ann. Math. (2) 129, No. 1, 61-69 (1989). 

  142. 142.Bonatti, Christian; Haefliger, Andre Perturbations d’un feuilletage donné par une fibration: Existence de feuilles compactes.  Proc. 15th Braz. Colloq. Math. Poços de Caldas/Braz. 1985, 567 (1987). 

  143. 143.Bonatti, Christian Existence de feuilles compactes pour les feuilletages proches d’une fibration.  C. R. Acad. Sci., Paris, Sér. I 305, 199-202 (1987). 

  144. 144.Bonatti, Christian Sur les feuilletages singuliers stables des variétés de dimension trois. Comment. Math. Helv. 60, 429-444 (1985). 

  145. 145.Bonatti, Christian Existence de feuilletages singuliers de codimension un à feuilles denses sur les variétés compactes sans bord.  C. R. Acad. Sci., Paris, Sér. I 300, 493-496 (1985).