Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension.
Statistical stability of geometric Lorenz attractors
We consider the robust family of geometric Lorenz attractors. These attractors are chaotic, in the sense that they are transitive and have sensitive dependence on initial conditions. Moreover, they support SRB measures whose ergodic basins cover a full Lebesgue measure subset of points in the topological basin of attraction. Here we prove that the SRB measures depend continuously on the dynamics in the weak* topology.
Markov structures and decay of correlations for non-uniformly expanding dynamical systems
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