Publications (40)
On the existence of attractors
Christian Bonatti, Ming Li, Dawei Yang
Robust vanishing of all Lyapunov exponents for iterated function systems
Jairo Bochi, Christian Bonatti, Lorenzo J. DÃaz
The C1 generic diffeomorphism has trivial centralizer
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson
Building Anosov flows on 3-manifolds
François Béguin, Bin Yu, Christian Bonatti
Local density of diffeomorphisms with large centralizers
Christian Bonatti, Sylvain Crovisier, Gioia Vago +1
Center manifolds for partially hyperbolic set without strong unstable connections
Christian Bonatti, Sylvain Crovisier
Perturbation of the Lyapunov spectra of periodic orbits
Jairo Bochi, Christian Bonatti
Existence de points fixes enlacés à une orbite périodique d'un homéomorphisme du plan
Christian Bonatti, Boris Kolev
Centralizers of $C^1$-contractions of the half line
Christian Bonatti, Ãglantine Farinelli
Nonuniform hyperbolicity for C^1-generic diffeomorphisms
Flavio Abdenur, Christian Bonatti, Sylvain Crovisier
Star fows and multisingular hyperbolicity
Christian Bonatti, Adriana da Luz
What is ... a blender?
Christian Bonatti, Sylvain Crovisier, Lorenzo Diaz +1
C1-generic conservative diffeomorphisms have trivial centralizer
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson
Fragile cycles
Christian Bonatti, Lorenzo J. Diaz
Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
Christian Bonatti, Kamlesh Parwani, Rafael Potrie
Roots in the mapping class groups
Christian Bonatti, Luis Paris
Dominated chain recurrent class with singularities
Christian Bonatti, Shaobo Gan, Dawei Yang
Connectedness of the space of smooth actions of $\Z^n$ on the interval
Christian Bonatti, Hélène Eynard
Partially hyperbolic diffeomorphisms with uniformly center foliation: the quotient dynamics
Doris Bohnet, Christian Bonatti
A Hölder continuous vector field tangent to many foliations
Christian Bonatti, John Franks
Dominated Pesin theory: convex sum of hyperbolic measures
Jairo Bochi, Christian Bonatti, Katrin Gelfert
Recurrence and genericity
Christian Bonatti, Sylvain Crovisier
Surface homeomorphisms with zero dimensional singular set
Christian Bonatti, Boris Kolev
Volume hyperbolicity and wildness
Christian Bonatti, Katsutoshi Shinohara
$C^1$-generic dynamics: tame and wild behaviour
Christian Bonatti
Existence of common zeros for commuting vector fields on $3$-manifolds
Christian Bonatti, Bruno Santiago
Robust existence of nonhyperbolic ergodic measures with positive entropy and full support
Christian Bonatti, Lorenzo J. DÃaz, Dominik Kwietniak
Robust criterion for the existence of nonhyperbolic ergodic measures
Jairo Bochi, Christian Bonatti, Lorenzo J. DÃaz
Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
Christian Bonatti, Andrey Gogolev, Rafael Potrie
Centralizers of C^1-generic diffeomorphisms
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson
Tame dynamics and robust transitivity
Christian Bonatti, Sylvain Crovisier, Nicolas Gourmelon +1
A criterion for zero averages and full support of ergodic measures
Christian Bonatti, Lorenzo J. Diaz, Jairo Bochi
Stabilization of heterodimensional cycles
Christian Bonatti, Lorenzo J. Diaz, Shin Kiriki
A spectral-like decomposition for transitive Anosov flows in dimension three
François Béguin, Christian Bonatti, Bin Yu
Many intermingled basins in dimension 3
Christian Bonatti, Rafael Potrie
Flexible periodic points
Christian Bonatti, Katsutoshi Shinohara
Smooth Conjugacy classes of circle diffeomorphisms with irrational rotation number
Christian Bonatti, Nancy Guelman
Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group
Christian Bonatti, Alex Eskin, Amie Wilkinson
The $C^{1+α}$ hypothesis in Pesin theory revisited
Christian Bonatti, Sylvain Crovisier, Katsutoshi Shinohara
The centralizer of a C1 generic diffeomorphism is trivial
Christian Bonatti, Sylvain Crovisier, Amie Wilkinson