Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a {C^{1+\alpha}$C1+a Stable Foliation, Including the Classical Lorenz Attractor
We prove exponential decay of correlations for a class of {C^{1+\alpha}$C1+a uniformly hyperbolic skew product flows, subject to a uniform nonintegrability condition. In particular, this establishes exponential decay of correlations for an open set of geometric Lorenz attractors. As a special case, we show that the classical Lorenz attractor is robustly exponentially mixing.