方向：动力系统与遍历论（dynamical systems and ergodic theoryChowla conjecture predicts that the Liouville function is normal and Sarnak conjecture asserts that all dynamical systems with zero topological entropy satisfy the Mobius randomness law. In my talk, I will present my recent work on the connections between these two conjectures. Indeed, based on Veech's proofof Sarnak's theorem on the dynamical Mobius flow and the Logarithmic Tao theorem on Chowla and Sarnak's conjectures, I will present the ingredients of the proof of the fact that these two conjectures are equivalent.

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