Exponential decay of correlations for nonuniformly hyperbolic flows with a C^{1+\alpha} stable foliation, including the classical Lorenz attractor

摘要

We prove exponential decay of correlations for a class of $C^{1+\alpha}$uniformly hyperbolic skew product flows, subject to a uniform nonintegrabilitycondition. In particular, this establishes exponential decay of correlationsfor an open set of geometric Lorenz attractors. As a special case, we show thatthe classical Lorenz attractor is robustly exponentially mixing.