Random Horseshoe of Anosov systems driven by a quasi-periodic forcing

Consider C2 Anosov systems on a compact manifold driven by a quasiperiodic forcing. We study their dynamical complexity on various levels from both perspectives of path-wise dynamics and stochastic processes. In this talk, I will report the results on the existence of random horseshoe from two different viewpoints：topology and probability. This is joint with Wen Huang and Kening Lu.