5 citations · 7 across the 4 of their papers we have counts for
11 papers · 1 filter
On physical measures of multi-singular hyperbolic vector fields
Sylvain Crovisier, Xiaodong Wang, Dawei Yang +1
Bonatti and da Luz have introduced the class of \emph{multi-singular hyperbolic} vector fields to characterize systems whose periodic orbits and singularities do not bifurcate unde…
Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps
Ali Tahzibi, Jinhua Zhang
We show that each non-hyperbolic ergodic measure of a partially hyperbolic diffeomorphism on which is homotopic to Anosov admits a full measure subset which intersec…
Centralizers of derived-from-Anosov systems on : rigidity versus triviality
Shaobo Gan, Yi Shi, Disheng Xu +1
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on which is homotopic to an Anosov automorphism, and we show that either its central…
Ergodic optimization for some dynamical systems beyond uniform hyperbolicity
Dawei Yang, Jinhua Zhang
In this paper, we show that for several interesting systems beyond uniform hyperbolicity, any generic continuous function has a unique maximizing measure with zero entropy. In some…
On the notions of singular domination and (multi-)singular hyperbolicity
Sylvain Crovisier, Adriana da Luz, Dawei Yang +1
The properties of uniform hyperbolicity and dominated splitting have been introduced to study the stability of the dynamics of diffeomorphisms. One meets difficulties when one trie…
Transitive partially hyperbolic diffeomorphisms with one-dimensional neutral center
Christian Bonatti, Jinhua Zhang
In this paper, we study transitive partially hyperbolic diffeomorphisms with one-dimensional topologically neutral center, meaning that the length of the iterate of small center se…