3 citations · 4 across the 2 of their papers we have counts for
2 papers
math.DS2017★ 1 cited
A robustly transitive diffeomorphism of Kan's type
Cheng Cheng, Shaobo Gan, Yi Shi
We construct a family of partially hyperbolic skew-product diffeomorphisms on that are robustly transitive and admitting two physical measures with intermingled basi…
math.DS2015★ 3 cited
Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes
Cheng Cheng, Sylvain Crovisier, Shaobo Gan +2
We prove that, for -generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture…