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math.DS2015★ 1 cited
The density of nonuniform hyperbolicity in conservative diffeomorphisms
Chao Liang, Yun Yang
Let $\Diff^{ r}_m(M)$ be the set of volume-preserving diffeomorphisms on a compact Riemannian manifold (). In this paper, we prove that the diffeomorphis…
math.DS2015
On density of positive Lyapunov exponents for symplectic diffeomorphisms
Chao Liang
Let be a 2dimensional compact connected Riemannian manifold and be a symplectic form on . In this paper, we prove that a symplectic diffeomorphism, with all Lyapunov…