4 citations · 5 across the 3 of their papers we have counts for
9 papers · 1 filter
Absolute continuity of stationary measures
Aaron Brown, Homin Lee, Davi Obata +1
Let and be two volume preserving, Anosov diffeomorphisms on , sharing common stable and unstable cones. In this paper, we find conditions for the existence of…
New examples of stably ergodic diffeomorphisms in dimension 3
Gabriel Nuñez, Davi Obata, Jana Rodriguez Hertz
We prove that in the isotopy class of any volume preserving partially hyperbolic diffeomorphism in a -dimensional manifold, there is a non-partially hyperbolic stably ergodic di…
Uniqueness of the measure of maximal entropy for the standard map
Davi Obata
In this paper we prove that for sufficiently large parameters the standard map has a unique measure of maximal entropy (m.m.e.). Moreover, we prove: the m.m.e. is Bernoulli, and th…
A new example of robustly transitive diffeomorphism
Pablo D. Carrasco, Davi Obata
We present an example of a -robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly…
Symmetries of vector fields: the diffeomorphism centralizer
Davi Obata
In this paper we study the diffeomorphism centralizer of a vector field: given a vector field it is the set of diffeomorphisms that commutes with the flow. Our main theorem states…
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…