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arXiv · 2105.13930

The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups

Marc Burger·Or Landesberg·Minju Lee·Hee Oh
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Abstract

We establish an extension of the Hopf-Tsuji-Sullivan dichotomy to any Zariski dense discrete subgroup of a semisimple real algebraic group $G$. We then apply this dichotomy to Anosov subgroups of $G$, which surprisingly presents a different phenomenon depending on the rank of the ambient group $G$.

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Marc Burger, Or Landesberg, Minju Lee, Hee Oh. 2021-05-28. The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups. https://arxiv.org/abs/2105.13930

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