报告题目： Lyapunov spectrum rigidity and simultaneous linearization of random Anosov diffeomorphisms

报告人：史逸 教授 四川大学

报告时间：2025年8月21日 9：00am - 10:00am

报告地点：数学楼201

报告摘要：Let A be an Anosov automorphism on T2 and {f1,...,fk} be a family of Cr-random perturbations of A with r>2. We show that {f1,...,fk} is Lyapunov spectrum rigid, i.e. any stationary SRB measure has the same Lyapunov exponents to A, if and only if there exists a smooth conjugacy simultaneously linearize {f1,...,fk} to affine actions. As an application, we show that a random action of positive matrices in SL(2,Z) has positive Lyapunov spectrum rigidity if and only if the action can be simultaneous linearized. This is a joint work with A. Brown.

报告人简介：史逸，四川大学教授，研究方向为微分动力系统，入选国家级青年人才项目并主持国家重点研发计划青年项目，在Proc. LMS、Compos. Math.、Adv. Math.、CMP、Comment. Math. Helv.等期刊发表多篇论文。