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On the abundance of non-zero central Lyapunov exponents, physical measures and stable ergodicity for partially hyperbolic dynamics
u-Gibbs states physical measures partially hyperbolic dynamics minimal foliations
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2011/1/20
We show that each strongly partially hyperbolic C2 diffeomorphism, with one-dimensional subbundles and C2 smooth andminimal strong-unstable foliation, is C2 close to a diffeomorphism having non-zero c...
Tori with hyperbolic dynamics in 3-manifolds
hyperbolic dynamics 3-manifolds
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2010/11/19
Let M be a closed orientable irreducible 3-manifold, and let f be a diffeomorphism over M. We call an embedded 2-torus T an Anosov torus if it is invariant and the induced action of f over \pi_1(T) i...
Tangent bundles to regular basic sets in hyperbolic dynamics
Tangent bundles hyperbolic dynamics
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2010/11/26
Given a locally maximal compact invariant hyperbolic set for a C1 flow or diffeomorphism on a Riemann manifold with C1 unstable laminations, we construct an invariant continuous bundle of tangent ve...