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Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
partial hyperbolicity singular-hyperbolicity recurrence decay of correlations local dimension hitting times
2012/4/23
We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue...
Stable Configurations of repelling points on compact hyperbolic Manifolds
compact hyperbolic Manifolds Dynamical Systems
2011/9/20
Abstract: It is shown that on compact hyperbolic manifolds, certain stable configurations of points which mutually repel along all interconnecting geodesics become equidistributed as the number of poi...
Tangent bundles to regular basic sets in hyperbolic dynamics
Tangent bundles hyperbolic dynamics
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...