38 citations · 309 across the 47 of their papers we have counts for
5 papers · 1 filter
Flexible periodic points
Christian Bonatti, Katsutoshi Shinohara
We define the notion of -flexible periodic point: it is a periodic point with stable index equal to two whose dynamics restricted to the stable direction admits $\vare…
Robust vanishing of all Lyapunov exponents for iterated function systems
Jairo Bochi, Christian Bonatti, Lorenzo J. Díaz
Given any compact connected manifold , we describe -open sets of iterated functions systems (IFS's) admitting fully-supported ergodic measures whose Lyapunov exponents alon…
Partially hyperbolic diffeomorphisms with uniformly center foliation: the quotient dynamics
Doris Bohnet, Christian Bonatti
We show that a partially hyperbolic -diffeomorphism with a uniformly compact -invariant center foliation is dynamically coherent. Further, the induced…
Connectedness of the space of smooth actions of on the interval
Christian Bonatti, Hélène Eynard
We prove that the spaces of $\Cinf$ orientation-preserving actions of on and nonfree actions of on the circle are connected.
Smooth Conjugacy classes of circle diffeomorphisms with irrational rotation number
Christian Bonatti, Nancy Guelman
In this paper we prove the -density of every -conjugacy class in the closed subset of diffeomorphisms of the circle with a given irrational rotation number.