44 citations · 79 across the 13 of their papers we have counts for
5 papers · 2 filters
Volume growth and topological entropy of certain partially hyperbolic systems
Dawei Yang, Yuntao Zang
Let be a diffeomorphism on a compact manifold admitting a partially hyperbolic splitting $TM=E^{s}\oplus_{\prec} E^{1}\oplus_{\prec} E^{2}\cdots \oplus_{\prec}E^{l}…
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…
On the partial hyperbolicity of robustly transitive sets with singularities
Xiao Wen, Dawei Yang
Homoclinic tangencies and singular hyperbolicity are involved in the Palis conjecture for vector fields. Typical three dimensional vector fields are well understood by recent works…
Robust transitivity of singular hyperbolic attractors
Sylvain Crovisier, Dawei Yang
Singular hyperbolicity is a weakened form of hyperbolicity that has been introduced for vector fields in order to allow non-isolated singularities inside the non-wandering set. A t…