Aaron Brown

activity

20102016

most citedInvariant measures and measurable projective factors for actions of higher-rank lattices on manifolds

16 citations · 34 across the 5 of their papers we have counts for

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math.DS2016★ 16 cited

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 $r (G)$ and $m (G)$ associated with the roots system of the Lie algebr…

math.DS2016★ 15 cited

Smoothness of stable holonomies inside center-stable manifolds and the $C^{2}$ 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 $C^{1 + β}$ diffeomorphisms are uniformly bi-Lipschitz and in fact $C^{1+\…

Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds

Smoothness of stable holonomies inside center-stable manifolds and the C2 hypothesis in Pugh-Shub and Ledrappier-Young theory

Smoothness of stable holonomies inside center-stable manifolds and the $C^{2}$ hypothesis in Pugh-Shub and Ledrappier-Young theory