44 citations · 115 across the 23 of their papers we have counts for
Showing 2015 · math.DSShow all
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math.DS2015★ 2 cited
On Pesin's entropy formula for dominated splittings without mixed behavior
Dawei Yang, Yongluo Cao
For diffeomorphisms, we prove that the Pesin's entropy formula holds for some invariant measure supported on any topological attractor that admits a dominated splitting witho…
math.DS2015★ 1 cited
SRB measures for diffeomorphisms with continuous invariant splittings
Zeya Mi, Yongluo Cao, Dawei Yang
We study the existence of SRB measures of C 2 diffeomorphisms for attractors whose bundles admit Holder continuous invariant (non-dominated) splittings. We prove the existence when…
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…