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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…
math.DS2024
Boundary actions by higher-rank lattices: Classification and embedding in low dimensions, local rigidity, smooth factors
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
We study actions by lattices in higher-rank (semi)simple Lie groups on compact manifolds. By classifying certain measures invariant under a related higher-rank abelian action (the…
math.DS2024
Normal forms for contracting dynamics, revisited
Aaron Brown, Alex Eskin, Simion Filip +1
We revisit the theory of normal forms for non-uniformly contracting dynamics. We collect a number of lemmas and reformulations of the standard theory that will be used in other pro…