Xiaodong Wang

activity

20022026

most citedA new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian

20 citations · 96 across the 48 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DS2015★ 3 cited

Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes

Cheng Cheng, Sylvain Crovisier, Shaobo Gan +2

We prove that, for $C^{1}$ -generic diffeomorphisms, if a homoclinic class is not hyperbolic, then there is a non-hyperbolic ergodic measure supported on it. This proves a conjecture…

math.DS2015

On the dominated splitting of Lyapunov stable aperiodic classes

Xiaodong Wang

Recent works related to Palis conjecture of J. Yang, S. Crovisier, M. Sambarino and D. Yang showed that any aperiodic class of a $C^{1}$ -generic diffeomorphism far away from homoclin…

math.DS2015★ 10 cited

Hyperbolicity versus weak periodic orbits inside homoclinic classes

Xiaodong Wang

We prove that, for $C^{1}$ -generic diffeomorphisms, if the periodic orbits contained in a homoclinic class $H (p)$ have all their Lyapunov exponents bounded away from 0, then $H (p)$ m…