44 citations · 115 across the 23 of their papers we have counts for
24 papers
Symbolic dynamics for non-uniformly hyperbolic flows
Jérôme Buzzi, Sylvain Crovisier, Yuri Lima +2
We construct symbolic dynamics for non-uniformly hyperbolic flows, in any dimension, possibly with fixed points. More precisely, for each , we code a set which has full measur…
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…
Lyapunov optimizing measures and periodic measures for expanding maps
Wen Huang, Leiye Xu, Dawei Yang
We prove that there exists an open and dense subset in the space of expanding self-maps of the circle such that the Lyapunov minimizing measures…
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…