16 citations · 31 across the 3 of their papers we have counts for
8 papers
Zimmer's conjecture for non-uniform lattices: escape of mass and growth of cocycles
Aaron Brown, David Fisher, Sebastian Hurtado
We establish finiteness of low-dimensional actions of lattices in higher-rank semisimple Lie groups and establish Zimmer's conjecture for many such groups. This builds on previous…
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teresó…
actions on manifolds by lattices in Lie groups
Aaron Brown, Danijela Damjanovic, Zhiyuan Zhang
In this paper we study Zimmer's conjecture for actions of lattice subgroup of a higher-rank simple Lie group with finite center on compact manifolds. We show that when the ra…
Zimmer's conjecture for actions of
Aaron Brown, David Fisher, Sebastian Hurtado
We prove Zimmer's conjecture for actions by finite-index subgroups of provided . The method utilizes many ingredients from our earlier proof…
Smooth ergodic theory of -actions
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
In the first part of this paper, we formulate a general setting in which to study the ergodic theory of differentiable -actions preserving a Borel probability measure…
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
We consider smooth actions of lattices in higher-rank semisimple Lie groups on manifolds. We define two numbers and associated with the roots system of the Lie algebr…