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arXiv · 1605.02100

Projections of Patterson-Sullivan measures and the Mohammadi-Oh dichotomy

Laurent Dufloux
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Abstract

Let $\Gamma$ be some discrete subgroup of $\mathbf{SO}^o(n+1,\mathbf{R})$ with finite Bowen-Margulis-Sullivan measure. We study the dynamics of the Bowen-Margulis-Sullivan measure with respect to closed connected subspaces of the $N$ component in some Iwasawa decomposition $\mathbf{SO}^o(n+1,\mathbf{R})=KAN$. We also study the dimension of projected Patterson-Sullivan measures along some fixed small circle.

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Laurent Dufloux. 2016-05-06. Projections of Patterson-Sullivan measures and the Mohammadi-Oh dichotomy. https://arxiv.org/abs/1605.02100

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