Abstract: we study the topological properties and the ergodic properties of generic star flows. In the
topological part, we prove that generically, a star flow has only finitely many topological attractors,
which are singular hyperbolic, whose basins cover a dense open set in the manifold. In the ergodic part,
we prove that generically, a star flow has only finitely many physical measures, whose basins cover a full Lebesgue measure set. This is a joint work with S. Crovisier, X. Wang and J. Zhang.
