16 citations · 34 across the 5 of their papers we have counts for
5 papers
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…
Smoothness of stable holonomies inside center-stable manifolds and the hypothesis in Pugh-Shub and Ledrappier-Young theory
Aaron Brown
Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for diffeomorphisms are uniformly bi-Lipschitz and in fact $C^{1+\…
Measure rigidity for random dynamics on surfaces with positive entropy
Aaron W. Brown, Federico Rodriguez Hertz
Given a surface and a Borel probability measure on the group of -diffeomorphisms of , we study -stationary probability measures on . Assuming the positivity o…
Rigidity of measures on the torus: smooth stabilizers and entropy
Aaron W. Brown
For a nonlinear Anosov diffeomorphism of the 2-torus, we present examples of measures so that the group of -preserving diffeomorphisms is, up to zero-entropy transformations, cy…
Nonexpanding Attractors: Conjugacy to Algebraic Models and Classification in 3-Manifolds
Aaron W. Brown
We prove a result motivated by Williams's classification of expanding attractors and the Franks-Newhouse Theorem on codimension-1 Anosov diffeomorphisms: If a mixing hyperbolic att…