7 citations · 21 across the 15 of their papers we have counts for
5 papers · 1 filter
On the centralizer of vector fields: criteria of triviality and genericity results
Martin Leguil, Davi Obata, Bruno Santiago
In this paper, we investigate the question of whether a typical vector field on a compact connected Riemannian manifold has a `small' centralizer. In the case, we give…
On the genericity of positive exponents of conservative skew products with two-dimensional fibers
Davi Obata, Mauricio Poletti
In this paper we study the existence of positive Lyapunov exponents for three different types of skew products, whose fibers are compact Riemannian surfaces and the action on the f…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…
On the stable ergodicity of diffeomorphisms with dominated splitting
Davi Obata
In this paper we obtain two criteria of stable ergodicity outside the partially hyperbolic scenario. In both criteria, we use a weak form of hyperbolicity called chain-hyperbolicit…
On the Stable Ergodicity of Berger-Carrasco's example
Davi Obata
We prove the stable ergodicity of an example of a volume-preserving, partially hyperbolic diffeomorphism introduced by Pierre Berger and Pablo Carrasco. This example is robustly no…