动力系统学术报告

题目：Margulis Measures on Expanding Foliations: Construction and Rigidity

报告人：杨帆 助理教授（Wake Forest University）

摘要：Given a diffeomorphism and an expanding foliation with homogeneous exponential growth, we construction a family of reference measures on each leaf with controlled Jacobian, and prove that for any measure of maximal u-entropy, its conditional measures must be equivalent to the reference measures. We also obtain rigidity when the reference measures are absolutely continuous with respect to the leaf volume. We will discuss several applications, including the strong and center foliations of Anosov diffeomorphisms, DA diffeomorphisms on 3-torus, and perturbations of geodesic flows on negative curvature surfaces. Joint with J. Buzzi, Y. Shi and J. Yang.

报告时间：2025年8月18日（星期一）上午10:00--11:00

报告地点：教二楼613

联系人：王方