Abstract: Multi-singular hyperbolicity was introduced by Bonatti and da Luz to capture the hyperbolicity of singular star flows. They prove that open and densely, singular star flows are multi-singular hyperbolic. In this talk, we will consider the statistical properties of multi-singular hyperbolic sets, and singular star flows in general. We will prove that typical such systems are robustly almost expansive; furthermore, equilibrium states exist and are unique for most H\"older continuous potential functions. As a corollary, we show that C^1 generically, star flows have finitely many measures of maximal entropy.
