Liv\v{s}ic Measurable Rigidity Theorem for \mathcal{C}^1 Generic   Volume-preserving Systems
  In this paper, we prove that for $\mathcal{C}^1$ generic volume-preserving Anosov diffeomorphisms of a compact Riemannian manifold, Liv\v{s}ic measurable rigidity theorem holds. We also prove that for $\mathcal{C}^1$ generic volume-preserving Anosov flows of a compact Riemannian manifold, Liv\v{s}ic measurable rigidity theorem holds. 
Yun Yang
math.DS