3 papers
math.DS2026
Lyapunov spectrum rigidity and simultaneous linearization for random Anosov diffeomorphisms
Aaron Brown, Yi Shi
In this paper we study the Lyapunov spectrum rigidity for random walks of expanding maps on unit circle and Anosov diffeomorphisms on -torus . Let $…
math.DS2025
Measure rigidity for generalized u-Gibbs states and stationary measures via the factorization method
Aaron Brown, Alex Eskin, Simion Filip +1
We obtain measure rigidity results for stationary measures of random walks generated by diffeomorphisms, and for actions of on smooth manifolds. O…
math.DS2024
Zimmer's conjecture for non-split semisimple Lie groups
Jinpeng An, Aaron Brown, Zhiyuan Zhang
We prove many new cases of Zimmer's conjecture for actions by lattices in non--split semisimple Lie groups . By prior arguments, Zimmer's conjecture reduces to study…